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elasticity</title> <meta name="description" content="Search results for: nonlocal elasticity"> <meta name="keywords" content="nonlocal elasticity"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none 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action="https://publications.waset.org/abstracts/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="nonlocal elasticity"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 384</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: nonlocal elasticity</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">384</span> Molecular Dynamics Simulation of Free Vibration of Graphene Sheets</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Seyyed%20Feisal%20Asbaghian%20Namin">Seyyed Feisal Asbaghian Namin</a>, <a href="https://publications.waset.org/abstracts/search?q=Reza%20Pilafkan"> Reza Pilafkan</a>, <a href="https://publications.waset.org/abstracts/search?q=Mahmood%20Kaffash%20Irzarahimi"> Mahmood Kaffash Irzarahimi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> TThis paper considers vibration of single-layered graphene sheets using molecular dynamics (MD) and nonlocal elasticity theory. Based on the MD simulations, Large-scale Atomic/Molecular Massively Parallel Simulator (LAMMPS), an open source software, is used to obtain fundamental frequencies. On the other hand, governing equations are derived using nonlocal elasticity and first order shear deformation theory (FSDT) and solved using generalized differential quadrature method (GDQ). The small-scale effect is applied in governing equations of motion by nonlocal parameter. The effect of different side lengths, boundary conditions and nonlocal parameter are inspected for aforementioned methods. Results are obtained from MD simulations is compared with those of the nonlocal elasticity theory to calculate appropriate values for the nonlocal parameter. The nonlocal parameter value is suggested for graphene sheets with various boundary conditions. Furthermore, it is shown that the nonlocal elasticity approach using classical plate theory (CLPT) assumptions overestimates the natural frequencies. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=graphene%20sheets" title="graphene sheets">graphene sheets</a>, <a href="https://publications.waset.org/abstracts/search?q=molecular%20dynamics%20simulations" title=" molecular dynamics simulations"> molecular dynamics simulations</a>, <a href="https://publications.waset.org/abstracts/search?q=fundamental%20frequencies" title=" fundamental frequencies"> fundamental frequencies</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal%20elasticity%20theory" title=" nonlocal elasticity theory"> nonlocal elasticity theory</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal%20parameter" title=" nonlocal parameter"> nonlocal parameter</a> </p> <a href="https://publications.waset.org/abstracts/57339/molecular-dynamics-simulation-of-free-vibration-of-graphene-sheets" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/57339.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">521</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">383</span> Closed-Form Solutions for Nanobeams Based on the Nonlocal Euler-Bernoulli Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Francesco%20Marotti%20de%20Sciarra">Francesco Marotti de Sciarra</a>, <a href="https://publications.waset.org/abstracts/search?q=Raffaele%20Barretta"> Raffaele Barretta</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Starting from nonlocal continuum mechanics, a thermodynamically new nonlocal model of Euler-Bernoulli nanobeams is provided. The nonlocal variational formulation is consistently provided and the governing differential equation for transverse displacement are presented. Higher-order boundary conditions are then consistently derived. An example is contributed in order to show the effectiveness of the proposed model. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bernoulli-Euler%20beams" title="Bernoulli-Euler beams">Bernoulli-Euler beams</a>, <a href="https://publications.waset.org/abstracts/search?q=nanobeams" title=" nanobeams"> nanobeams</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal%20elasticity" title=" nonlocal elasticity"> nonlocal elasticity</a>, <a href="https://publications.waset.org/abstracts/search?q=closed-form%20solutions" title=" closed-form solutions "> closed-form solutions </a> </p> <a href="https://publications.waset.org/abstracts/24524/closed-form-solutions-for-nanobeams-based-on-the-nonlocal-euler-bernoulli-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/24524.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">370</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">382</span> Nonlocal Beam Models for Free Vibration Analysis of Double-Walled Carbon Nanotubes with Various End Supports</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Babak%20Safaei">Babak Safaei</a>, <a href="https://publications.waset.org/abstracts/search?q=Ahmad%20Ghanbari"> Ahmad Ghanbari</a>, <a href="https://publications.waset.org/abstracts/search?q=Arash%20Rahmani"> Arash Rahmani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present study, the free vibration characteristics of double-walled carbon nanotubes (DWCNTs) are investigated. The small-scale effects are taken into account using the Eringen’s nonlocal elasticity theory. The nonlocal elasticity equations are implemented into the different classical beam theories namely as Euler-Bernoulli beam theory (EBT), Timoshenko beam theory (TBT), Reddy beam theory (RBT), and Levinson beam theory (LBT) to analyze the free vibrations of DWCNTs in which each wall of the nanotubes is considered as individual beam with van der Waals interaction forces. Generalized differential quadrature (GDQ) method is utilized to discretize the governing differential equations of each nonlocal beam model along with four commonly used boundary conditions. Then molecular dynamics (MD) simulation is performed for a series of armchair and zigzag DWCNTs with different aspect ratios and boundary conditions, the results of which are matched with those of nonlocal beam models to extract the appropriate values of the nonlocal parameter corresponding to each type of chirality, nonlocal beam model and boundary condition. It is found that the present nonlocal beam models with their proposed correct values of nonlocal parameter have good capability to predict the vibrational behavior of DWCNTs, especially for higher aspect ratios. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=double-walled%20carbon%20nanotubes" title="double-walled carbon nanotubes">double-walled carbon nanotubes</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal%20continuum%20elasticity" title=" nonlocal continuum elasticity"> nonlocal continuum elasticity</a>, <a href="https://publications.waset.org/abstracts/search?q=free%20vibrations" title=" free vibrations"> free vibrations</a>, <a href="https://publications.waset.org/abstracts/search?q=molecular%20dynamics%20simulation" title=" molecular dynamics simulation"> molecular dynamics simulation</a>, <a href="https://publications.waset.org/abstracts/search?q=generalized%20differential%20quadrature%20method" title=" generalized differential quadrature method"> generalized differential quadrature method</a> </p> <a href="https://publications.waset.org/abstracts/41557/nonlocal-beam-models-for-free-vibration-analysis-of-double-walled-carbon-nanotubes-with-various-end-supports" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/41557.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">294</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">381</span> Biaxial Buckling of Single Layer Graphene Sheet Based on Nonlocal Plate Model and Molecular Dynamics Simulation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=R.%20Pilafkan">R. Pilafkan</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Kaffash%20Irzarahimi"> M. Kaffash Irzarahimi</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20F.%20Asbaghian%20Namin"> S. F. Asbaghian Namin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The biaxial buckling behavior of single-layered graphene sheets (SLGSs) is studied in the present work. To consider the size-effects in the analysis, Eringen’s nonlocal elasticity equations are incorporated into classical plate theory (CLPT). A Generalized Differential Quadrature Method (GDQM) approach is utilized and numerical solutions for the critical buckling loads are obtained. Then, molecular dynamics (MD) simulations are performed for a series of zigzag SLGSs with different side-lengths and with various boundary conditions, the results of which are matched with those obtained by the nonlocal plate model to numerical the appropriate values of nonlocal parameter relevant to each type of boundary conditions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=biaxial%20buckling" title="biaxial buckling">biaxial buckling</a>, <a href="https://publications.waset.org/abstracts/search?q=single-layered%20graphene%20sheets" title=" single-layered graphene sheets"> single-layered graphene sheets</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal%20elasticity" title=" nonlocal elasticity"> nonlocal elasticity</a>, <a href="https://publications.waset.org/abstracts/search?q=molecular%20dynamics%20simulation" title=" molecular dynamics simulation"> molecular dynamics simulation</a>, <a href="https://publications.waset.org/abstracts/search?q=classical%20plate%20theory" title=" classical plate theory"> classical plate theory</a> </p> <a href="https://publications.waset.org/abstracts/56460/biaxial-buckling-of-single-layer-graphene-sheet-based-on-nonlocal-plate-model-and-molecular-dynamics-simulation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/56460.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">278</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">380</span> Dynamic Analysis of Nanosize FG Rectangular Plates Based on Simple Nonlocal Quasi 3D HSDT</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sabrina%20Boutaleb">Sabrina Boutaleb</a>, <a href="https://publications.waset.org/abstracts/search?q=Fouad%20Bourad"> Fouad Bourad</a>, <a href="https://publications.waset.org/abstracts/search?q=Kouider%20Halim%20Benrahou"> Kouider Halim Benrahou</a>, <a href="https://publications.waset.org/abstracts/search?q=Abdelouahed%20Tounsi"> Abdelouahed Tounsi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present work, the dynamic analysis of the functionally graded rectangular nanoplates is studied. The theory of nonlocal elasticity based on the quasi 3D high shear deformation theory (quasi 3D HSDT) has been employed to determine the natural frequencies of the nanosized FG plate. In HSDT, a cubic function is employed in terms of thickness coordinates to introduce the influence of transverse shear deformation and stretching thickness. The theory of nonlocal elasticity is utilized to examine the impact of the small scale on the natural frequency of the FG rectangular nanoplate. The equations of motion are deduced by implementing Hamilton’s principle. To demonstrate the accuracy of the proposed method, the calculated results in specific cases are compared and examined with available results in the literature, and a good agreement is observed. Finally, the influence of the various parameters, such as the nonlocal coefficient, the material indexes, the aspect ratio, and the thickness-to-length ratio, on the dynamic properties of the FG nanoplates is illustrated and discussed in detail. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=nonlocal%20elasticity%20theory" title="nonlocal elasticity theory">nonlocal elasticity theory</a>, <a href="https://publications.waset.org/abstracts/search?q=FG%20nanoplate" title=" FG nanoplate"> FG nanoplate</a>, <a href="https://publications.waset.org/abstracts/search?q=free%20vibration" title=" free vibration"> free vibration</a>, <a href="https://publications.waset.org/abstracts/search?q=refined%20theory" title=" refined theory"> refined theory</a>, <a href="https://publications.waset.org/abstracts/search?q=elastic%20foundation" title=" elastic foundation"> elastic foundation</a> </p> <a href="https://publications.waset.org/abstracts/165422/dynamic-analysis-of-nanosize-fg-rectangular-plates-based-on-simple-nonlocal-quasi-3d-hsdt" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/165422.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">120</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">379</span> Dynamic Response of Nano Spherical Shell Subjected to Termo-Mechanical Shock Using Nonlocal Elasticity Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=J.%20Ranjbarn">J. Ranjbarn</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Alibeigloo"> A. Alibeigloo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we present an analytical method for analysis of nano-scale spherical shell subjected to thermo-mechanical shocks based on nonlocal elasticity theory. Thermo-mechanical properties of nano shpere is assumed to be temperature dependent. Governing partial differential equation of motion is solved analytically by using Laplace transform for time domain and power series for spacial domain. The results in Laplace domain is transferred to time domain by employing the fast inverse Laplace transform (FLIT) method. Accuracy of present approach is assessed by comparing the the numerical results with the results of published work in literature. Furtheremore, the effects of non-local parameter and wall thickness on the dynamic characteristics of the nano-sphere are studied. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=nano-scale%20spherical%20shell" title="nano-scale spherical shell">nano-scale spherical shell</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal%20elasticity%20theory" title=" nonlocal elasticity theory"> nonlocal elasticity theory</a>, <a href="https://publications.waset.org/abstracts/search?q=thermomechanical%20shock" title=" thermomechanical shock"> thermomechanical shock</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20response" title=" dynamic response"> dynamic response</a> </p> <a href="https://publications.waset.org/abstracts/10273/dynamic-response-of-nano-spherical-shell-subjected-to-termo-mechanical-shock-using-nonlocal-elasticity-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/10273.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">373</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">378</span> Vibration Analysis of Magnetostrictive Nano-Plate by Using Modified Couple Stress and Nonlocal Elasticity Theories</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hamed%20Khani%20Arani">Hamed Khani Arani</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohammad%20Shariyat"> Mohammad Shariyat</a>, <a href="https://publications.waset.org/abstracts/search?q=Armaghan%20Mohammadian"> Armaghan Mohammadian</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present study, the free vibration of magnetostrictive nano-plate (MsNP) resting on the Pasternak foundation is investigated. Firstly, the modified couple stress (MCS) and nonlocal elasticity theories are compared together and taken into account to consider the small scale effects; in this paper not only two theories are analyzed but also it improves the MCS theory is more accurate than nonlocal elasticity theory in such problems. A feedback control system is utilized to investigate the effects of a magnetic field. First-order shear deformation theory (FSDT), Hamilton’s principle and energy method are utilized in order to drive the equations of motion and these equations are solved by differential quadrature method (DQM) for simply supported boundary conditions. The MsNP undergoes in-plane forces in <em>x </em>and <em>y </em>directions. In this regard, the dimensionless frequency is plotted to study the effects of small scale parameter, magnetic field, aspect ratio, thickness ratio and compression and tension loads. Results indicate that these parameters play a key role on the natural frequency. According to the above results, MsNP can be used in the communications equipment, smart control vibration of nanostructure especially in sensor and actuators such as wireless linear micro motor and smart nano valves in injectors. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=feedback%20control%20system" title="feedback control system">feedback control system</a>, <a href="https://publications.waset.org/abstracts/search?q=magnetostrictive%20nano-plate" title=" magnetostrictive nano-plate"> magnetostrictive nano-plate</a>, <a href="https://publications.waset.org/abstracts/search?q=modified%20couple%20stress%20theory" title=" modified couple stress theory"> modified couple stress theory</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal%20elasticity%20theory" title=" nonlocal elasticity theory"> nonlocal elasticity theory</a>, <a href="https://publications.waset.org/abstracts/search?q=vibration%20analysis" title=" vibration analysis"> vibration analysis</a> </p> <a href="https://publications.waset.org/abstracts/126379/vibration-analysis-of-magnetostrictive-nano-plate-by-using-modified-couple-stress-and-nonlocal-elasticity-theories" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/126379.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">135</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">377</span> Using the Nonlocal Theory of Free Vibrations Nanobeam</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ali%20Oveysi%20Sarabi">Ali Oveysi Sarabi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The dimensions of nanostructures are in the range of inter-atomic spacing of the structures which makes them impossible to be modeled as a continuum. Nanoscale size-effects on vibration analysis of nanobeams embedded in an elastic medium is investigated using different types of beam theory. To this end, Eringen’s nonlocal elasticity is incorporated to various beam theories namely as Euler-Bernoulli beam theory (EBT), Timoshenko beam theory (TBT), Reddy beam theory (RBT), and Levinson beam theory (LBT). The surrounding elastic medium is simulated with both Winkler and Pasternak foundation models and the difference between them is studies. Explicit formulas are presented to obtain the natural frequencies of nanobeam corresponding to each nonlocal beam theory. Selected numerical results are given for different values of the non-local parameter, Winkler modulus parameter, Pasternak modulus parameter and aspect ratio of the beam that imply the effects of them, separately. It is observed that the values of natural frequency are strongly dependent on the stiffness of elastic medium and the value of the non-local parameter and these dependencies varies with the value of aspect ratio and mode number. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=nanobeams" title="nanobeams">nanobeams</a>, <a href="https://publications.waset.org/abstracts/search?q=free%20vibration" title=" free vibration"> free vibration</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal%20elasticity" title=" nonlocal elasticity"> nonlocal elasticity</a>, <a href="https://publications.waset.org/abstracts/search?q=winkler%20foundation%20model" title=" winkler foundation model"> winkler foundation model</a>, <a href="https://publications.waset.org/abstracts/search?q=Pasternak%20foundation%20model" title=" Pasternak foundation model"> Pasternak foundation model</a>, <a href="https://publications.waset.org/abstracts/search?q=beam%20theories" title=" beam theories "> beam theories </a> </p> <a href="https://publications.waset.org/abstracts/19886/using-the-nonlocal-theory-of-free-vibrations-nanobeam" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/19886.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">536</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">376</span> Three Dimensional Vibration Analysis of Carbon Nanotubes Embedded in Elastic Medium </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Shaban">M. Shaban</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Alibeigloo"> A. Alibeigloo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper studies free vibration behavior of single-walled carbon nanotubes (SWCNTs) embedded on elastic medium based on three-dimensional theory of elasticity. To accounting the size effect of carbon nanotubes, nonlocal theory is adopted to shell model. The nonlocal parameter is incorporated into all constitutive equations in three dimensions. The surrounding medium is modeled as two-parameter elastic foundation. By using Fourier series expansion in axial and circumferential direction, the set of coupled governing equations are reduced to the ordinary differential equations in thickness direction. Then, the state-space method as an efficient and accurate method is used to solve the resulting equations analytically. Comprehensive parametric studies are carried out to show the influences of the nonlocal parameter, radial and shear elastic stiffness, thickness-to-radius ratio and radius-to-length ratio. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=carbon%20nanotubes" title="carbon nanotubes">carbon nanotubes</a>, <a href="https://publications.waset.org/abstracts/search?q=embedded" title=" embedded"> embedded</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal" title=" nonlocal"> nonlocal</a>, <a href="https://publications.waset.org/abstracts/search?q=free%20vibration" title=" free vibration "> free vibration </a> </p> <a href="https://publications.waset.org/abstracts/10246/three-dimensional-vibration-analysis-of-carbon-nanotubes-embedded-in-elastic-medium" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/10246.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">450</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">375</span> Simulation of Propagation of Cos-Gaussian Beam in Strongly Nonlocal Nonlinear Media Using Paraxial Group Transformation </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Keshavarz">A. Keshavarz</a>, <a href="https://publications.waset.org/abstracts/search?q=Z.%20Roosta"> Z. Roosta</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, propagation of cos-Gaussian beam in strongly nonlocal nonlinear media has been stimulated by using paraxial group transformation. At first, cos-Gaussian beam, nonlocal nonlinear media, critical power, transfer matrix, and paraxial group transformation are introduced. Then, the propagation of the cos-Gaussian beam in strongly nonlocal nonlinear media is simulated. Results show that beam propagation has periodic structure during self-focusing effect in this case. However, this simple method can be used for investigation of propagation of kinds of beams in ABCD optical media. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=paraxial%20group%20transformation" title="paraxial group transformation">paraxial group transformation</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal%20nonlinear%20media" title=" nonlocal nonlinear media"> nonlocal nonlinear media</a>, <a href="https://publications.waset.org/abstracts/search?q=cos-Gaussian%20beam" title=" cos-Gaussian beam"> cos-Gaussian beam</a>, <a href="https://publications.waset.org/abstracts/search?q=ABCD%20law" title=" ABCD law"> ABCD law</a> </p> <a href="https://publications.waset.org/abstracts/52660/simulation-of-propagation-of-cos-gaussian-beam-in-strongly-nonlocal-nonlinear-media-using-paraxial-group-transformation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/52660.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">342</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">374</span> Torsional Vibration of Carbon Nanotubes via Nonlocal Gradient Theories</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mustafa%20Arda">Mustafa Arda</a>, <a href="https://publications.waset.org/abstracts/search?q=Metin%20Aydogdu"> Metin Aydogdu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Carbon nanotubes (CNTs) have many possible application areas because of their superior physical properties. Nonlocal Theory, which unlike the classical theories, includes the size dependency. Nonlocal Stress and Strain Gradient approaches can be used in nanoscale static and dynamic analysis. In the present study, torsional vibration of CNTs was investigated according to nonlocal stress and strain gradient theories. Effects of the small scale parameters to the non-dimensional frequency were obtained. Results were compared with the Molecular Dynamics Simulation and Lattice Dynamics. Strain Gradient Theory has shown more weakening effect on CNT according to the Stress Gradient Theory. Combination of both theories gives more acceptable results rather than the classical and stress or strain gradient theory according to Lattice Dynamics. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=torsional%20vibration" title="torsional vibration">torsional vibration</a>, <a href="https://publications.waset.org/abstracts/search?q=carbon%20nanotubes" title=" carbon nanotubes"> carbon nanotubes</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal%20gradient%20theory" title=" nonlocal gradient theory"> nonlocal gradient theory</a>, <a href="https://publications.waset.org/abstracts/search?q=stress" title=" stress"> stress</a>, <a href="https://publications.waset.org/abstracts/search?q=strain" title=" strain"> strain</a> </p> <a href="https://publications.waset.org/abstracts/48828/torsional-vibration-of-carbon-nanotubes-via-nonlocal-gradient-theories" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/48828.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">389</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">373</span> Nonlocal Phenomena in Quantum Mechanics</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kazim%20G.%20Atman">Kazim G. Atman</a>, <a href="https://publications.waset.org/abstracts/search?q=H%C3%BCseyin%20Sirin"> Hüseyin Sirin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In theoretical physics, nonlocal phenomena has always been subject of debate. However, in the conventional mathematical approach where the developments of the physical systems are investigated by using the standard mathematical tools, nonlocal effects are not taken into account. In order to investigate the nonlocality in quantum mechanics and fractal property of space, fractional derivative operators are employed in this study. In this manner, fractional creation and annihilation operators are introduced and Einstein coefficients are taken into account as an application of concomitant formalism in quantum field theory. Therefore, each energy mode of photons are considered as fractional quantized harmonic oscillator hereby Einstein coefficients are obtained. Nevertheless, wave function and energy eigenvalues of fractional quantum mechanical harmonic oscillator are obtained via the fractional derivative order α which is a measure of the influence of nonlocal effects. In the case α = 1, where space becomes homogeneous and continuous, standard physical conclusions are recovered. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Einstein%E2%80%99s%20Coefficients" title="Einstein’s Coefficients">Einstein’s Coefficients</a>, <a href="https://publications.waset.org/abstracts/search?q=Fractional%20Calculus" title=" Fractional Calculus"> Fractional Calculus</a>, <a href="https://publications.waset.org/abstracts/search?q=Fractional%20Quantum%20Mechanics" title=" Fractional Quantum Mechanics"> Fractional Quantum Mechanics</a>, <a href="https://publications.waset.org/abstracts/search?q=Nonlocal%20Theories" title=" Nonlocal Theories"> Nonlocal Theories</a> </p> <a href="https://publications.waset.org/abstracts/124566/nonlocal-phenomena-in-quantum-mechanics" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/124566.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">170</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">372</span> Complex Fuzzy Evolution Equation with Nonlocal Conditions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Abdelati%20El%20Allaoui">Abdelati El Allaoui</a>, <a href="https://publications.waset.org/abstracts/search?q=Said%20Melliani"> Said Melliani</a>, <a href="https://publications.waset.org/abstracts/search?q=Lalla%20Saadia%20Chadli"> Lalla Saadia Chadli</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The objective of this paper is to study the existence and uniqueness of Mild solutions for a complex fuzzy evolution equation with nonlocal conditions that accommodates the notion of fuzzy sets defined by complex-valued membership functions. We first propose definition of complex fuzzy strongly continuous semigroups. We then give existence and uniqueness result relevant to the complex fuzzy evolution equation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Complex%20fuzzy%20evolution%20equations" title="Complex fuzzy evolution equations">Complex fuzzy evolution equations</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal%20conditions" title=" nonlocal conditions"> nonlocal conditions</a>, <a href="https://publications.waset.org/abstracts/search?q=mild%20solution" title=" mild solution"> mild solution</a>, <a href="https://publications.waset.org/abstracts/search?q=complex%20fuzzy%20semigroups" title=" complex fuzzy semigroups"> complex fuzzy semigroups</a> </p> <a href="https://publications.waset.org/abstracts/59900/complex-fuzzy-evolution-equation-with-nonlocal-conditions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/59900.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">282</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">371</span> A Refined Nonlocal Strain Gradient Theory for Assessing Scaling-Dependent Vibration Behavior of Microbeams</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Xiaobai%20Li">Xiaobai Li</a>, <a href="https://publications.waset.org/abstracts/search?q=Li%20Li"> Li Li</a>, <a href="https://publications.waset.org/abstracts/search?q=Yujin%20Hu"> Yujin Hu</a>, <a href="https://publications.waset.org/abstracts/search?q=Weiming%20Deng"> Weiming Deng</a>, <a href="https://publications.waset.org/abstracts/search?q=Zhe%20Ding"> Zhe Ding</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A size-dependent Euler–Bernoulli beam model, which accounts for nonlocal stress field, strain gradient field and higher order inertia force field, is derived based on the nonlocal strain gradient theory considering velocity gradient effect. The governing equations and boundary conditions are derived both in dimensional and dimensionless form by employed the Hamilton principle. The analytical solutions based on different continuum theories are compared. The effect of higher order inertia terms is extremely significant in high frequency range. It is found that there exists an asymptotic frequency for the proposed beam model, while for the nonlocal strain gradient theory the solutions diverge. The effect of strain gradient field in thickness direction is significant in low frequencies domain and it cannot be neglected when the material strain length scale parameter is considerable with beam thickness. The influence of each of three size effect parameters on the natural frequencies are investigated. The natural frequencies increase with the increasing material strain gradient length scale parameter or decreasing velocity gradient length scale parameter and nonlocal parameter. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Euler-Bernoulli%20Beams" title="Euler-Bernoulli Beams">Euler-Bernoulli Beams</a>, <a href="https://publications.waset.org/abstracts/search?q=free%20vibration" title=" free vibration"> free vibration</a>, <a href="https://publications.waset.org/abstracts/search?q=higher%20order%20inertia" title=" higher order inertia"> higher order inertia</a>, <a href="https://publications.waset.org/abstracts/search?q=Nonlocal%20Strain%20Gradient%20Theory" title=" Nonlocal Strain Gradient Theory"> Nonlocal Strain Gradient Theory</a>, <a href="https://publications.waset.org/abstracts/search?q=velocity%20gradient" title=" velocity gradient"> velocity gradient</a> </p> <a href="https://publications.waset.org/abstracts/60330/a-refined-nonlocal-strain-gradient-theory-for-assessing-scaling-dependent-vibration-behavior-of-microbeams" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/60330.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">267</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">370</span> Vibration Behavior of Nanoparticle Delivery in a Single-Walled Carbon Nanotube Using Nonlocal Timoshenko Beam Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Haw-Long%20Lee">Haw-Long Lee</a>, <a href="https://publications.waset.org/abstracts/search?q=Win-Jin%20Chang"> Win-Jin Chang</a>, <a href="https://publications.waset.org/abstracts/search?q=Yu-Ching%20Yang"> Yu-Ching Yang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the paper, the coupled equation of motion for the dynamic displacement of a fullerene moving in a (10,10) single-walled carbon nanotube (SWCNT) is derived using nonlocal Timoshenko beam theory, including the effects of rotary inertia and shear deformation. The effects of confined stiffness between the fullerene and nanotube, foundation stiffness, and nonlocal parameter on the dynamic behavior are analyzed using the Runge-Kutta Method. The numerical solution is in agreement with the analytical result for the special case. The numerical results show that increasing the confined stiffness and foundation stiffness decrease the dynamic displacement of SWCNT. However, the dynamic displacement increases with increasing the nonlocal parameter. In addition, result using the Euler beam theory and the Timoshenko beam theory are compared. It can be found that ignoring the effects of rotary inertia and shear deformation leads to an underestimation of the displacement. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=single-walled%20carbon%20nanotube" title="single-walled carbon nanotube">single-walled carbon nanotube</a>, <a href="https://publications.waset.org/abstracts/search?q=nanoparticle%20delivery" title=" nanoparticle delivery"> nanoparticle delivery</a>, <a href="https://publications.waset.org/abstracts/search?q=Nonlocal%20Timoshenko%20beam%20theory" title=" Nonlocal Timoshenko beam theory"> Nonlocal Timoshenko beam theory</a>, <a href="https://publications.waset.org/abstracts/search?q=Runge-Kutta%20Method" title=" Runge-Kutta Method"> Runge-Kutta Method</a>, <a href="https://publications.waset.org/abstracts/search?q=Van%20der%20Waals%20force" title=" Van der Waals force"> Van der Waals force</a> </p> <a href="https://publications.waset.org/abstracts/65037/vibration-behavior-of-nanoparticle-delivery-in-a-single-walled-carbon-nanotube-using-nonlocal-timoshenko-beam-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/65037.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">377</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">369</span> A Mixed 3D Finite Element for Highly Deformable Thermoviscoplastic Materials Under Ductile Damage</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jo%C3%A3o%20Paulo%20Pascon">João Paulo Pascon</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work, a mixed 3D finite element formulation is proposed in order to analyze thermoviscoplastic materials under large strain levels and ductile damage. To this end, a tetrahedral element of linear order is employed, considering a thermoviscoplastic constitutive law together with the neo-Hookean hyperelastic relationship and a nonlocal Gurson`s porous plasticity theory The material model is capable of reproducing finite deformations, elastoplastic behavior, void growth, nucleation and coalescence, thermal effects such as plastic work heating and conductivity, strain hardening and strain-rate dependence. The nonlocal character is introduced by means of a nonlocal parameter applied to the Laplacian of the porosity field. The element degrees of freedom are the nodal values of the deformed position, the temperature and the nonlocal porosity field. The internal variables are updated at the Gauss points according to the yield criterion and the evolution laws, including the yield stress of matrix, the equivalent plastic strain, the local porosity and the plastic components of the Cauchy-Green stretch tensor. Two problems involving 3D specimens and ductile damage are numerically analyzed with the developed computational code: the necking problem and a notched sample. The effect of the nonlocal parameter and the mesh refinement is investigated in detail. Results indicate the need of a proper nonlocal parameter. In addition, the numerical formulation can predict ductile fracture, based on the evolution of the fully damaged zone. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=mixed%20finite%20element" title="mixed finite element">mixed finite element</a>, <a href="https://publications.waset.org/abstracts/search?q=large%20strains" title=" large strains"> large strains</a>, <a href="https://publications.waset.org/abstracts/search?q=ductile%20damage" title=" ductile damage"> ductile damage</a>, <a href="https://publications.waset.org/abstracts/search?q=thermoviscoplasticity" title=" thermoviscoplasticity"> thermoviscoplasticity</a> </p> <a href="https://publications.waset.org/abstracts/171100/a-mixed-3d-finite-element-for-highly-deformable-thermoviscoplastic-materials-under-ductile-damage" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/171100.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">95</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">368</span> Selected Technological Factors Influencing the Modulus of Elasticity of Concrete </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Klara%20Krizova">Klara Krizova</a>, <a href="https://publications.waset.org/abstracts/search?q=Rudolf%20Hela"> Rudolf Hela</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The topic of the article focuses on the evaluation of selected technological factors and their influence on resulting elasticity modulus of concrete. A series of various factors enter into the manufacturing process which, more or less, influences the elasticity modulus. This paper presents the results of concrete in which the influence of water coefficient and the size of maximum fraction of the aggregate on the static elasticity modulus were monitored. Part of selected results of the long-term programme was discussed in which a wide scope of various variants of proposals for the composition of concretes was evaluated. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=mix%20design" title="mix design">mix design</a>, <a href="https://publications.waset.org/abstracts/search?q=water-cement%20ratio" title=" water-cement ratio"> water-cement ratio</a>, <a href="https://publications.waset.org/abstracts/search?q=aggregate" title=" aggregate"> aggregate</a>, <a href="https://publications.waset.org/abstracts/search?q=modulus%20of%20elasticity" title=" modulus of elasticity"> modulus of elasticity</a> </p> <a href="https://publications.waset.org/abstracts/6495/selected-technological-factors-influencing-the-modulus-of-elasticity-of-concrete" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/6495.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">395</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">367</span> Impact of the Quality of Aggregate on the Elasticity Modulus of Concrete</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=K.%20Krizova">K. Krizova</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This objective of this article is to present concrete that differs by the size of the aggregate used. The set of concrete contained six concrete recipes manufactured as traditional vibrated concrete containing identical basic components of concrete. The experiment focused on monitoring the resulting properties of hardened concrete, specifically the primary strength and modulus of the concrete elasticity and the developing parameters from 7 to 180 days were assessed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=aggregate" title="aggregate">aggregate</a>, <a href="https://publications.waset.org/abstracts/search?q=cement" title=" cement"> cement</a>, <a href="https://publications.waset.org/abstracts/search?q=concrete" title=" concrete"> concrete</a>, <a href="https://publications.waset.org/abstracts/search?q=elasticity%20modulus" title=" elasticity modulus"> elasticity modulus</a> </p> <a href="https://publications.waset.org/abstracts/38600/impact-of-the-quality-of-aggregate-on-the-elasticity-modulus-of-concrete" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/38600.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">315</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">366</span> A Phase Field Approach to Model Crack Interface Interaction in Ceramic Matrix Composites</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Dhaladhuli%20Pranavi">Dhaladhuli Pranavi</a>, <a href="https://publications.waset.org/abstracts/search?q=Amirtham%20Rajagopal"> Amirtham Rajagopal</a> </p> <p class="card-text"><strong>Abstract:</strong></p> There are various failure modes in ceramic matrix composites; notable ones are fiber breakage, matrix cracking and fiber matrix debonding. Crack nucleation and propagation in microstructure of such composites requires an understanding of interaction of crack with the multiple inclusion heterogeneous system and interfaces. In order to assess structural integrity, the material parameters especially of the interface that governs the crack growth should be determined. In the present work, a nonlocal phase field approach is proposed to model the crack interface interaction in such composites. Nonlocal approaches help in understanding the complex mechanisms of delamination growth and mitigation and operates at a material length scale. The performance of the proposed formulation is illustrated through representative numerical examples. The model proposed is implemented in the framework of the finite element method. Several parametric studies on interface crack interaction are conducted. The proposed model is easy and simple to implement and works very well in modeling fracture in composite systems. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=composite" title="composite">composite</a>, <a href="https://publications.waset.org/abstracts/search?q=interface" title=" interface"> interface</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal" title=" nonlocal"> nonlocal</a>, <a href="https://publications.waset.org/abstracts/search?q=phase%20field" title=" phase field"> phase field</a> </p> <a href="https://publications.waset.org/abstracts/132562/a-phase-field-approach-to-model-crack-interface-interaction-in-ceramic-matrix-composites" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/132562.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">142</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">365</span> A Timed and Colored Petri Nets for Modeling and Verify Cloud System Elasticity </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Walid%20Louhichi">Walid Louhichi</a>, <a href="https://publications.waset.org/abstracts/search?q=Mouhebeddine%20Berrima"> Mouhebeddine Berrima</a>, <a href="https://publications.waset.org/abstracts/search?q=Narjes%20Ben%20Rajed"> Narjes Ben Rajed</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Elasticity is the essential property of cloud computing. As the name suggests, it constitutes the ability of a cloud system to adjust resource provisioning in relation to fluctuating workload. There are two types of elasticity operations, vertical and horizontal. In this work, we are interested in horizontal scaling, which is ensured by two mechanisms; scaling in and scaling out. Following the sizing of the system, we can adopt scaling in in the event of over-supply and scaling out in the event of under-supply. In this paper, we propose a formal model, based on colored and temporized Petri nets, for the modeling of the duplication and the removal of a virtual machine from a server. This model is based on formal Petri Nets modeling language. The proposed models are edited, verified, and simulated with two examples implemented in CPNtools, which is a modeling tool for colored and timed Petri nets. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=cloud%20computing" title="cloud computing">cloud computing</a>, <a href="https://publications.waset.org/abstracts/search?q=elasticity" title=" elasticity"> elasticity</a>, <a href="https://publications.waset.org/abstracts/search?q=elasticity%20controller" title=" elasticity controller"> elasticity controller</a>, <a href="https://publications.waset.org/abstracts/search?q=petri%20nets" title=" petri nets"> petri nets</a>, <a href="https://publications.waset.org/abstracts/search?q=scaling%20in" title=" scaling in"> scaling in</a>, <a href="https://publications.waset.org/abstracts/search?q=scaling%20out" title=" scaling out"> scaling out</a> </p> <a href="https://publications.waset.org/abstracts/131529/a-timed-and-colored-petri-nets-for-modeling-and-verify-cloud-system-elasticity" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/131529.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">154</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">364</span> Calcium Silicate Bricks – Ultrasonic Pulse Method: Effects of Natural Frequency of Transducers on Measurement Results</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jiri%20Brozovsky">Jiri Brozovsky</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Modulus of elasticity is one of the important parameters of construction materials, which considerably influence their deformation properties and which can also be determined by means of non-destructive test methods like ultrasonic pulse method. However, measurement results of ultrasonic pulse methods are influenced by various factors, one of which is the natural frequency of the transducers. The paper states knowledge about influence of natural frequency of the transducers (54; 82 and 150kHz) on ultrasonic pulse velocity and dynamic modulus of elasticity (Young's Dynamic modulus of elasticity). Differences between ultrasonic pulse velocity and dynamic modulus of elasticity were found with the same smallest dimension of test specimen in the direction of sounding and density their value decreases as the natural frequency of transducers grew. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=calcium%20silicate%20brick" title="calcium silicate brick">calcium silicate brick</a>, <a href="https://publications.waset.org/abstracts/search?q=ultrasonic%20pulse%20method" title=" ultrasonic pulse method"> ultrasonic pulse method</a>, <a href="https://publications.waset.org/abstracts/search?q=ultrasonic%20pulse%20velocity" title=" ultrasonic pulse velocity"> ultrasonic pulse velocity</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20modulus%20of%20elasticity" title=" dynamic modulus of elasticity"> dynamic modulus of elasticity</a> </p> <a href="https://publications.waset.org/abstracts/12508/calcium-silicate-bricks-ultrasonic-pulse-method-effects-of-natural-frequency-of-transducers-on-measurement-results" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/12508.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">416</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">363</span> A Nonlocal Means Algorithm for Poisson Denoising Based on Information Geometry</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Dongxu%20Chen">Dongxu Chen</a>, <a href="https://publications.waset.org/abstracts/search?q=Yipeng%20Li"> Yipeng Li</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents an information geometry NonlocalMeans(NLM) algorithm for Poisson denoising. NLM estimates a noise-free pixel as a weighted average of image pixels, where each pixel is weighted according to the similarity between image patches in Euclidean space. In this work, every pixel is a Poisson distribution locally estimated by Maximum Likelihood (ML), all distributions consist of a statistical manifold. A NLM denoising algorithm is conducted on the statistical manifold where Fisher information matrix can be used for computing distribution geodesics referenced as the similarity between patches. This approach was demonstrated to be competitive with related state-of-the-art methods. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=image%20denoising" title="image denoising">image denoising</a>, <a href="https://publications.waset.org/abstracts/search?q=Poisson%20noise" title=" Poisson noise"> Poisson noise</a>, <a href="https://publications.waset.org/abstracts/search?q=information%20geometry" title=" information geometry"> information geometry</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal-means" title=" nonlocal-means"> nonlocal-means</a> </p> <a href="https://publications.waset.org/abstracts/51221/a-nonlocal-means-algorithm-for-poisson-denoising-based-on-information-geometry" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/51221.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">285</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">362</span> Non-linear Model of Elasticity of Compressive Strength of Concrete</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Charles%20Horace%20Ampong">Charles Horace Ampong</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Non-linear models have been found to be useful in modeling the elasticity (measure of degree of responsiveness) of a dependent variable with respect to a set of independent variables ceteris paribus. This constant elasticity principle was applied to the dependent variable (Compressive Strength of Concrete in MPa) which was found to be non-linearly related to the independent variable (Water-Cement ratio in kg/m3) for given Ages of Concrete in days (3, 7, 28) at different levels of admixtures Superplasticizer (in kg/m3), Blast Furnace Slag (in kg/m3) and Fly Ash (in kg/m3). The levels of the admixtures were categorized as: S1=Some Plasticizer added & S0=No Plasticizer added; B1=some Blast Furnace Slag added & B0=No Blast Furnace Slag added; F1=Some Fly Ash added & F0=No Fly Ash added. The number of observations (samples) used for the research was one-hundred and thirty-two (132) in all. For Superplasticizer, it was found that Compressive Strength of Concrete was more elastic with regards to Water-Cement ratio at S1 level than at S0 level for the given ages of concrete 3, 7and 28 days. For Blast Furnace Slag, Compressive Strength with regards to Water-Cement ratio was more elastic at B0 level than at B1 level for concrete ages 3, 7 and 28 days. For Fly Ash, Compressive Strength with regards to Water-Cement ratio was more elastic at B0 level than at B1 level for Ages 3, 7 and 28 days. The research also tested for different combinations of the levels of Superplasticizer, Blast Furnace Slag and Fly Ash. It was found that Compressive Strength elasticity with regards to Water-Cement ratio was lowest (Elasticity=-1.746) with a combination of S0, B0 and F0 for concrete age of 3 days. This was followed by Elasticity of -1.611 with a combination of S0, B0 and F0 for a concrete of age 7 days. Next, the highest was an Elasticity of -1.414 with combination of S0, B0 and F0 for a concrete age of 28 days. Based on preceding outcomes, three (3) non-linear model equations for predicting the output elasticity of Compressive Strength of Concrete (in %) or the value of Compressive Strength of Concrete (in MPa) with regards to Water to Cement was formulated. The model equations were based on the three different ages of concrete namely 3, 7 and 28 days under investigation. The three models showed that higher elasticity translates into higher compressive strength. And the models revealed a trend of increasing concrete strength from 3 to 28 days for a given amount of water to cement ratio. Using the models, an increasing modulus of elasticity from 3 to 28 days was deduced. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=concrete" title="concrete">concrete</a>, <a href="https://publications.waset.org/abstracts/search?q=compressive%20strength" title=" compressive strength"> compressive strength</a>, <a href="https://publications.waset.org/abstracts/search?q=elasticity" title=" elasticity"> elasticity</a>, <a href="https://publications.waset.org/abstracts/search?q=water-cement" title=" water-cement"> water-cement</a> </p> <a href="https://publications.waset.org/abstracts/48933/non-linear-model-of-elasticity-of-compressive-strength-of-concrete" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/48933.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">293</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">361</span> Vibration of Nonhomogeneous Timoshenko Nanobeam Resting on Winkler-Pasternak Foundation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Somnath%20Karmakar">Somnath Karmakar</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Chakraverty"> S. Chakraverty</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This work investigates the vibration of nonhomogeneous Timoshenko nanobeam resting on the Winkler-Pasternak foundation. Eringen’s nonlocal theory has been used to investigate small-scale effects. The Differential Quadrature method is used to obtain the frequency parameters with various classical boundary conditions. The nonhomogeneous beam model has been considered, where Young’s modulus and density of the beam material vary linearly and quadratically. Convergence of frequency parameters is also discussed. The influence of mechanical properties and scaling parameters on vibration frequencies are investigated for different boundary conditions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Timoshenko%20beam" title="Timoshenko beam">Timoshenko beam</a>, <a href="https://publications.waset.org/abstracts/search?q=Eringen%27s%20nonlocal%20theory" title=" Eringen's nonlocal theory"> Eringen's nonlocal theory</a>, <a href="https://publications.waset.org/abstracts/search?q=differential%20quadrature%20method" title=" differential quadrature method"> differential quadrature method</a>, <a href="https://publications.waset.org/abstracts/search?q=nonhomogeneous%20nanobeam" title=" nonhomogeneous nanobeam"> nonhomogeneous nanobeam</a> </p> <a href="https://publications.waset.org/abstracts/153025/vibration-of-nonhomogeneous-timoshenko-nanobeam-resting-on-winkler-pasternak-foundation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/153025.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">115</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">360</span> 3D Elasticity Analysis of Laminated Composite Plate Using State Space Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Prathmesh%20Vikas%20Patil">Prathmesh Vikas Patil</a>, <a href="https://publications.waset.org/abstracts/search?q=Yashaswini%20Lomte%20Patil"> Yashaswini Lomte Patil</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Laminated composite materials have considerable attention in various engineering applications due to their exceptional strength-to-weight ratio and mechanical properties. The analysis of laminated composite plates in three-dimensional (3D) elasticity is a complex problem, as it requires accounting for the orthotropic anisotropic nature of the material and the interactions between multiple layers. Conventional approaches, such as the classical plate theory, provide simplified solutions but are limited in performing exact analysis of the plate. To address such a challenge, the state space method emerges as a powerful numerical technique for modeling the behavior of laminated composites in 3D. The state-space method involves transforming the governing equations of elasticity into a state-space representation, enabling the analysis of complex structural systems in a systematic manner. Here, an effort is made to perform a 3D elasticity analysis of plates with cross-ply and angle-ply laminates using the state space approach. The state space approach is used in this study as it is a mixed formulation technique that gives the displacements and stresses simultaneously with the same level of accuracy. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=cross%20ply%20laminates" title="cross ply laminates">cross ply laminates</a>, <a href="https://publications.waset.org/abstracts/search?q=angle%20ply%20laminates" title=" angle ply laminates"> angle ply laminates</a>, <a href="https://publications.waset.org/abstracts/search?q=state%20space%20method" title=" state space method"> state space method</a>, <a href="https://publications.waset.org/abstracts/search?q=three-dimensional%20elasticity%20analysis" title=" three-dimensional elasticity analysis"> three-dimensional elasticity analysis</a> </p> <a href="https://publications.waset.org/abstracts/173929/3d-elasticity-analysis-of-laminated-composite-plate-using-state-space-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/173929.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">110</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">359</span> Portfolio Optimization under a Hybrid Stochastic Volatility and Constant Elasticity of Variance Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jai%20Heui%20Kim">Jai Heui Kim</a>, <a href="https://publications.waset.org/abstracts/search?q=Sotheara%20Veng"> Sotheara Veng</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper studies the portfolio optimization problem for a pension fund under a hybrid model of stochastic volatility and constant elasticity of variance (CEV) using asymptotic analysis method. When the volatility component is fast mean-reverting, it is able to derive asymptotic approximations for the value function and the optimal strategy for general utility functions. Explicit solutions are given for the exponential and hyperbolic absolute risk aversion (HARA) utility functions. The study also shows that using the leading order optimal strategy results in the value function, not only up to the leading order, but also up to first order correction term. A practical strategy that does not depend on the unobservable volatility level is suggested. The result is an extension of the Merton's solution when stochastic volatility and elasticity of variance are considered simultaneously. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=asymptotic%20analysis" title="asymptotic analysis">asymptotic analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=constant%20elasticity%20of%20variance" title=" constant elasticity of variance"> constant elasticity of variance</a>, <a href="https://publications.waset.org/abstracts/search?q=portfolio%20optimization" title=" portfolio optimization"> portfolio optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=stochastic%20optimal%20control" title=" stochastic optimal control"> stochastic optimal control</a>, <a href="https://publications.waset.org/abstracts/search?q=stochastic%20volatility" title=" stochastic volatility"> stochastic volatility</a> </p> <a href="https://publications.waset.org/abstracts/50103/portfolio-optimization-under-a-hybrid-stochastic-volatility-and-constant-elasticity-of-variance-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/50103.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">299</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">358</span> Natural Interaction Game-Based Learning of Elasticity with Kinect</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Maryam%20Savari">Maryam Savari</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohamad%20Nizam%20Ayub"> Mohamad Nizam Ayub</a>, <a href="https://publications.waset.org/abstracts/search?q=Ainuddin%20Wahid%20Abdul%20Wahab"> Ainuddin Wahid Abdul Wahab</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Game-based Learning (GBL) is an alternative that provides learners with an opportunity to experience a volatile environment in a safe and secure place. A volatile environment requires a different technique to facilitate learning and prevent injury and other hazards. Subjects involving elasticity are always considered hazardous and can cause injuries,for instance a bouncing ball. Elasticity is a topic that necessitates hands-on practicality for learners to experience the effects of elastic objects. In this paper the scope is to investigate the natural interaction between learners and elastic objects in a safe environment using GBL. During interaction, the potentials of natural contact in the process of learning were explored and gestures exhibited during the learning process were identified. GBL was developed using Kinect technology to teach elasticity to primary school children aged 7 to 12. The system detects body gestures and defines the meanings of motions exhibited during the learning process. The qualitative approach was deployed to constantly monitor the interaction between the student and the system. Based on the results, it was found that Natural Interaction GBL (Ni-GBL) is engaging for students to learn, making their learning experience more active and joyful. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=elasticity" title="elasticity">elasticity</a>, <a href="https://publications.waset.org/abstracts/search?q=Game-Based%20Learning%20%28GBL%29" title=" Game-Based Learning (GBL)"> Game-Based Learning (GBL)</a>, <a href="https://publications.waset.org/abstracts/search?q=kinect%20technology" title=" kinect technology"> kinect technology</a>, <a href="https://publications.waset.org/abstracts/search?q=natural%20interaction" title=" natural interaction "> natural interaction </a> </p> <a href="https://publications.waset.org/abstracts/22347/natural-interaction-game-based-learning-of-elasticity-with-kinect" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22347.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">483</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">357</span> Exact Vibration Analysis of a Rectangular Nano-Plate Using Nonlocal Modified Sinusoidal Shear Deformation Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Korosh%20Khorshidi">Korosh Khorshidi</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohammad%20Khodadadi"> Mohammad Khodadadi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, exact close form solution for out of plate free flexural vibration of moderately thick rectangular nanoplates are presented based on nonlocal modified trigonometric shear deformation theory, with assumptions of the Levy's type boundary conditions, for the first time. The aim of this study is to evaluate the effect of small-scale parameters on the frequency parameters of the moderately thick rectangular nano-plates. To describe the effects of small-scale parameters on vibrations of rectangular nanoplates, the Eringen theory is used. The Levy's type boundary conditions are combination of six different boundary conditions; specifically, two opposite edges are simply supported and any of the other two edges can be simply supported, clamped or free. Governing equations of motion and boundary conditions of the plate are derived by using the Hamilton’s principle. The present analytical solution can be obtained with any required accuracy and can be used as benchmark. Numerical results are presented to illustrate the effectiveness of the proposed method compared to other methods reported in the literature. Finally, the effect of boundary conditions, aspect ratios, small scale parameter and thickness ratios on nondimensional natural frequency parameters and frequency ratios are examined and discussed in detail. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=exact%20solution" title="exact solution">exact solution</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocal%20modified%20sinusoidal%20shear%20deformation%20theory" title=" nonlocal modified sinusoidal shear deformation theory"> nonlocal modified sinusoidal shear deformation theory</a>, <a href="https://publications.waset.org/abstracts/search?q=out%20of%20plane%20vibration" title=" out of plane vibration"> out of plane vibration</a>, <a href="https://publications.waset.org/abstracts/search?q=moderately%20thick%20rectangular%20plate" title=" moderately thick rectangular plate"> moderately thick rectangular plate</a> </p> <a href="https://publications.waset.org/abstracts/36318/exact-vibration-analysis-of-a-rectangular-nano-plate-using-nonlocal-modified-sinusoidal-shear-deformation-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/36318.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">387</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">356</span> Vibration Analysis of Stepped Nanoarches with Defects</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jaan%20Lellep">Jaan Lellep</a>, <a href="https://publications.waset.org/abstracts/search?q=Shahid%20Mubasshar"> Shahid Mubasshar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A numerical solution is developed for simply supported nanoarches based on the non-local theory of elasticity. The nanoarch under consideration has a step-wise variable cross-section and is weakened by crack-like defects. It is assumed that the cracks are stationary and the mechanical behaviour of the nanoarch can be modeled by Eringen’s non-local theory of elasticity. The physical and thermal properties are sensitive with respect to changes of dimensions in the nano level. The classical theory of elasticity is unable to describe such changes in material properties. This is because, during the development of the classical theory of elasticity, the speculation of molecular objects was avoided. Therefore, the non-local theory of elasticity is applied to study the vibration of nanostructures and it has been accepted by many researchers. In the non-local theory of elasticity, it is assumed that the stress state of the body at a given point depends on the stress state of each point of the structure. However, within the classical theory of elasticity, the stress state of the body depends only on the given point. The system of main equations consists of equilibrium equations, geometrical relations and constitutive equations with boundary and intermediate conditions. The system of equations is solved by using the method of separation of variables. Consequently, the governing differential equations are converted into a system of algebraic equations whose solution exists if the determinant of the coefficients of the matrix vanishes. The influence of cracks and steps on the natural vibration of the nanoarches is prescribed with the aid of additional local compliance at the weakened cross-section. An algorithm to determine the eigenfrequencies of the nanoarches is developed with the help of computer software. The effects of various physical and geometrical parameters are recorded and drawn graphically. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=crack" title="crack">crack</a>, <a href="https://publications.waset.org/abstracts/search?q=nanoarches" title=" nanoarches"> nanoarches</a>, <a href="https://publications.waset.org/abstracts/search?q=natural%20frequency" title=" natural frequency"> natural frequency</a>, <a href="https://publications.waset.org/abstracts/search?q=step" title=" step"> step</a> </p> <a href="https://publications.waset.org/abstracts/146785/vibration-analysis-of-stepped-nanoarches-with-defects" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/146785.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">128</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">355</span> A Bayesian Multivariate Microeconometric Model for Estimation of Price Elasticity of Demand</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jefferson%20Hernandez">Jefferson Hernandez</a>, <a href="https://publications.waset.org/abstracts/search?q=Juan%20Padilla"> Juan Padilla</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Estimation of price elasticity of demand is a valuable tool for the task of price settling. Given its relevance, it is an active field for microeconomic and statistical research. Price elasticity in the industry of oil and gas, in particular for fuels sold in gas stations, has shown to be a challenging topic given the market and state restrictions, and underlying correlations structures between the types of fuels sold by the same gas station. This paper explores the Lotka-Volterra model for the problem for price elasticity estimation in the context of fuels; in addition, it is introduced multivariate random effects with the purpose of dealing with errors, e.g., measurement or missing data errors. In order to model the underlying correlation structures, the Inverse-Wishart, Hierarchical Half-t and LKJ distributions are studied. Here, the Bayesian paradigm through Markov Chain Monte Carlo (MCMC) algorithms for model estimation is considered. Simulation studies covering a wide range of situations were performed in order to evaluate parameter recovery for the proposed models and algorithms. Results revealed that the proposed algorithms recovered quite well all model parameters. Also, a real data set analysis was performed in order to illustrate the proposed approach. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=price%20elasticity" title="price elasticity">price elasticity</a>, <a href="https://publications.waset.org/abstracts/search?q=volume" title=" volume"> volume</a>, <a href="https://publications.waset.org/abstracts/search?q=correlation%20structures" title=" correlation structures"> correlation structures</a>, <a href="https://publications.waset.org/abstracts/search?q=Bayesian%20models" title=" Bayesian models"> Bayesian models</a> </p> <a href="https://publications.waset.org/abstracts/122666/a-bayesian-multivariate-microeconometric-model-for-estimation-of-price-elasticity-of-demand" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/122666.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right 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