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Search results for: elastic field

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for: elastic field</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">9028</span> Finding the Elastic Field in an Arbitrary Anisotropic Media by Implementing Accurate Generalized Gaussian Quadrature Solution</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hossein%20Kabir">Hossein Kabir</a>, <a href="https://publications.waset.org/abstracts/search?q=Amir%20Hossein%20Hassanpour%20Mati-Kolaie"> Amir Hossein Hassanpour Mati-Kolaie</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the current study, the elastic field in an anisotropic elastic media is determined by implementing a general semi-analytical method. In this specific methodology, the displacement field is computed as a sum of finite functions with unknown coefficients. These aforementioned functions satisfy exactly both the homogeneous and inhomogeneous boundary conditions in the proposed media. It is worth mentioning that the unknown coefficients are determined by implementing the principle of minimum potential energy. The numerical integration is implemented by employing the Generalized Gaussian Quadrature solution. Furthermore, with the aid of the calculated unknown coefficients, the displacement field, as well as the other parameters of the elastic field, are obtainable as well. Finally, the comparison of the previous analytical method with the current semi-analytical method proposes the efficacy of the present methodology. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=anisotropic%20elastic%20media" title="anisotropic elastic media">anisotropic elastic media</a>, <a href="https://publications.waset.org/abstracts/search?q=semi-analytical%20method" title=" semi-analytical method"> semi-analytical method</a>, <a href="https://publications.waset.org/abstracts/search?q=elastic%20field" title=" elastic field"> elastic field</a>, <a href="https://publications.waset.org/abstracts/search?q=generalized%20gaussian%20quadrature%20solution" title=" generalized gaussian quadrature solution"> generalized gaussian quadrature solution</a> </p> <a href="https://publications.waset.org/abstracts/74780/finding-the-elastic-field-in-an-arbitrary-anisotropic-media-by-implementing-accurate-generalized-gaussian-quadrature-solution" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/74780.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">321</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">9027</span> Effect of Adjacent Footings on Elastic Settlement of Shallow Foundations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mustafa%20Aytekin">Mustafa Aytekin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, impact of adjacent footings is considered on the estimation of elastic settlement of shallow foundations. In the estimation of elastic settlement, the Schmertmann’s method that is a very popular method in the elastic settlement estimation of shallow foundations is employed. In order to consider affect of neighboring footings on elastic settlement of main footing in different configurations, a MATLAB script has been generated. Elastic settlements of the various configurations are estimated by the script and several conclusions have been reached. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=elastic%20%28immediate%29%20settlement" title="elastic (immediate) settlement">elastic (immediate) settlement</a>, <a href="https://publications.waset.org/abstracts/search?q=Schmertman%20Method" title=" Schmertman Method"> Schmertman Method</a>, <a href="https://publications.waset.org/abstracts/search?q=adjacent%20footings" title=" adjacent footings"> adjacent footings</a>, <a href="https://publications.waset.org/abstracts/search?q=shallow%20foundations" title=" shallow foundations"> shallow foundations</a> </p> <a href="https://publications.waset.org/abstracts/3005/effect-of-adjacent-footings-on-elastic-settlement-of-shallow-foundations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/3005.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">467</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">9026</span> Formulating the Stochastic Finite Elements for Free Vibration Analysis of Plates with Variable Elastic Modulus</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mojtaba%20Aghamiri%20Esfahani">Mojtaba Aghamiri Esfahani</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohammad%20Karkon"> Mohammad Karkon</a>, <a href="https://publications.waset.org/abstracts/search?q=Seyed%20Majid%20Hosseini%20Nezhad"> Seyed Majid Hosseini Nezhad</a>, <a href="https://publications.waset.org/abstracts/search?q=Reza%20Hosseini-Ara"> Reza Hosseini-Ara </a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, the effect of uncertainty in elastic modulus of a plate on free vibration response is investigated. For this purpose, the elastic modulus of the plate is modeled as stochastic variable with normal distribution. Moreover, the distance autocorrelation function is used for stochastic field. Then, by applying the finite element method and Monte Carlo simulation, stochastic finite element relations are extracted. Finally, with a numerical test, the effect of uncertainty in the elastic modulus on free vibration response of a plate is studied. The results show that the effect of uncertainty in elastic modulus of the plate cannot play an important role on the free vibration response. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=stochastic%20finite%20elements" title="stochastic finite elements">stochastic finite elements</a>, <a href="https://publications.waset.org/abstracts/search?q=plate%20bending" title=" plate bending"> plate bending</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=Monte%20Carlo" title=" Monte Carlo"> Monte Carlo</a>, <a href="https://publications.waset.org/abstracts/search?q=Neumann%20expansion%20method." title=" Neumann expansion method. "> Neumann expansion method. </a> </p> <a href="https://publications.waset.org/abstracts/45285/formulating-the-stochastic-finite-elements-for-free-vibration-analysis-of-plates-with-variable-elastic-modulus" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/45285.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">9025</span> Effect of Built in Polarization on Thermal Properties of InGaN/GaN Heterostructures</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bijay%20Kumar%20Sahoo">Bijay Kumar Sahoo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> An important feature of InₓGa₁-ₓN/GaN heterostructures is strong built-in polarization (BIP) electric field at the hetero-interface due to spontaneous (sp) and piezoelectric (pz) polarizations. The intensity of this electric field reaches several MV/cm. This field has profound impact on optical, electrical and thermal properties. In this work, the effect of BIP field on thermal conductivity of InₓGa₁-ₓN/GaN heterostructure has been investigated theoretically. The interaction between the elastic strain and built in electric field induces additional electric polarization. This additional polarization contributes to the elastic constant of InₓGa₁-ₓN alloy. This in turn modifies material parameters of InₓGa₁-ₓN. The BIP mechanism enhances elastic constant, phonon velocity and Debye temperature and their bowing constants in InₓGa₁-ₓN alloy. These enhanced thermal parameters increase phonon mean free path which boost thermal conduction process. The thermal conductivity (k) of InxGa1-xN alloy has been estimated for x=0, 0.1, 0.3 and 0.9. Computation finds that irrespective of In content, the room temperature k of InₓGa₁-ₓN/GaN heterostructure is enhanced by BIP mechanism. Our analysis shows that at a certain temperature both k with and without BIP show crossover. Below this temperature k with BIP field is lower than k without BIP; however, above this temperature k with BIP field is significantly contributed by BIP mechanism leading to k with BIP field become higher than k without BIP field. The crossover temperature is primary pyroelectric transition temperature. The pyroelectric transition temperature of InₓGa₁-ₓN alloy has been predicted for different x. This signature of pyroelectric nature suggests that thermal conductivity can reveal pyroelectricity in InₓGa₁-ₓN alloy. The composition dependent room temperature k for x=0.1 and 0.3 are in line with prior experimental studies. The result can be used to minimize the self-heating effect in InₓGa₁-ₓN/GaN heterostructures. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=built-in%20polarization" title="built-in polarization">built-in polarization</a>, <a href="https://publications.waset.org/abstracts/search?q=phonon%20relaxation%20time" title=" phonon relaxation time"> phonon relaxation time</a>, <a href="https://publications.waset.org/abstracts/search?q=thermal%20properties%20of%20In%E2%82%93Ga%E2%82%81-%E2%82%93N%20%2FGaN%20heterostructure" title=" thermal properties of InₓGa₁-ₓN /GaN heterostructure"> thermal properties of InₓGa₁-ₓN /GaN heterostructure</a>, <a href="https://publications.waset.org/abstracts/search?q=self-heating" title=" self-heating"> self-heating</a> </p> <a href="https://publications.waset.org/abstracts/70242/effect-of-built-in-polarization-on-thermal-properties-of-ingangan-heterostructures" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/70242.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">411</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">9024</span> Stress Distribution in Axisymmetric Indentation of an Elastic Layer-Substrate Body</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kotaro%20Miura">Kotaro Miura</a>, <a href="https://publications.waset.org/abstracts/search?q=Makoto%20Sakamoto"> Makoto Sakamoto</a>, <a href="https://publications.waset.org/abstracts/search?q=Yuji%20Tanabe"> Yuji Tanabe</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We focus on internal stress and displacement of an elastic axisymmetric contact problem for indentation of a layer-substrate body. An elastic layer is assumed to be perfectly bonded to an elastic semi-infinite substrate. The elastic layer is smoothly indented with a flat-ended cylindrical indenter. The analytical and exact solutions were obtained by solving an infinite system of simultaneous equations using the method to express a normal contact stress at the upper surface of the elastic layer as an appropriate series. This paper presented the numerical results of internal stress and displacement distributions for hard-coating system with constant values of Poisson&rsquo;s ratio and the thickness of elastic layer. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=indentation" title="indentation">indentation</a>, <a href="https://publications.waset.org/abstracts/search?q=contact%20problem" title=" contact problem"> contact problem</a>, <a href="https://publications.waset.org/abstracts/search?q=stress%20distribution" title=" stress distribution"> stress distribution</a>, <a href="https://publications.waset.org/abstracts/search?q=coating%20materials" title=" coating materials"> coating materials</a>, <a href="https://publications.waset.org/abstracts/search?q=layer-substrate%20body" title=" layer-substrate body"> layer-substrate body</a> </p> <a href="https://publications.waset.org/abstracts/116384/stress-distribution-in-axisymmetric-indentation-of-an-elastic-layer-substrate-body" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/116384.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">156</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">9023</span> A Study on Application of Elastic Theory for Computing Flexural Stresses in Preflex Beam</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Nasiri%20Ahmadullah">Nasiri Ahmadullah</a>, <a href="https://publications.waset.org/abstracts/search?q=Shimozato%20Tetsuhiro"> Shimozato Tetsuhiro</a>, <a href="https://publications.waset.org/abstracts/search?q=Masayuki%20Tai"> Masayuki Tai</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents the step-by-step procedure for using Elastic Theory to calculate the internal stresses in composite bridge girders prestressed by the Preflexing Technology, called Prebeam in Japan and Preflex beam worldwide. Elastic Theory approaches preflex beams the same way as it does the conventional composite girders. Since preflex beam undergoes different stages of construction, calculations are made using different sectional and material properties. Stresses are calculated in every stage using the properties of the specific section. Stress accumulation gives the available stress in a section of interest. Concrete presence in the section implies prestress loss due to creep and shrinkage, however; more work is required to be done in this field. In addition to the graphical presentation of this application, this paper further discusses important notes of graphical comparison between the results of an experimental-only research carried out on a preflex beam, with the results of simulation based on the elastic theory approach, for an identical beam using Finite Element Modeling (FEM) by the author. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=composite%20girder" title="composite girder">composite girder</a>, <a href="https://publications.waset.org/abstracts/search?q=Elastic%20Theory" title=" Elastic Theory"> Elastic Theory</a>, <a href="https://publications.waset.org/abstracts/search?q=preflex%20beam" title=" preflex beam"> preflex beam</a>, <a href="https://publications.waset.org/abstracts/search?q=prestressing" title=" prestressing"> prestressing</a> </p> <a href="https://publications.waset.org/abstracts/64680/a-study-on-application-of-elastic-theory-for-computing-flexural-stresses-in-preflex-beam" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/64680.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">279</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">9022</span> Modeling and Shape Prediction for Elastic Kinematic Chains</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jiun%20Jeon">Jiun Jeon</a>, <a href="https://publications.waset.org/abstracts/search?q=Byung-Ju%20Yi"> Byung-Ju Yi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper investigates modeling and shape prediction of elastic kinematic chains such as colonoscopy. 2D and 3D models of elastic kinematic chains are suggested and their behaviors are demonstrated through simulation. To corroborate the effectiveness of those models, experimental work is performed using a magnetic sensor system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=elastic%20kinematic%20chain" title="elastic kinematic chain">elastic kinematic chain</a>, <a href="https://publications.waset.org/abstracts/search?q=shape%20prediction" title=" shape prediction"> shape prediction</a>, <a href="https://publications.waset.org/abstracts/search?q=colonoscopy" title=" colonoscopy"> colonoscopy</a>, <a href="https://publications.waset.org/abstracts/search?q=modeling" title=" modeling"> modeling</a> </p> <a href="https://publications.waset.org/abstracts/4177/modeling-and-shape-prediction-for-elastic-kinematic-chains" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/4177.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">605</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">9021</span> Comparison for Some Elastic and Mechanical Properties of Plutonium Dioxide</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Guler">M. Guler</a>, <a href="https://publications.waset.org/abstracts/search?q=E.%20Guler"> E. Guler</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We report some elastic parameters of cubic fluorite type neptunium dioxide (NpO2) with a recent EAM type interatomic potential through geometry optimization calculations. Typical cubic elastic constants, bulk modulus, shear modulus, young modulus and other relevant elastic parameters were also calculated during research. After calculations, we have compared our results with the available theoretical data. Our results agree well with the previous theoretical findings of the considered quantities of NpO2. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=NpO2" title="NpO2">NpO2</a>, <a href="https://publications.waset.org/abstracts/search?q=elastic%20properties" title=" elastic properties"> elastic properties</a>, <a href="https://publications.waset.org/abstracts/search?q=bulk%20modulus" title=" bulk modulus"> bulk modulus</a>, <a href="https://publications.waset.org/abstracts/search?q=mechanical%20properties" title=" mechanical properties"> mechanical properties</a> </p> <a href="https://publications.waset.org/abstracts/35281/comparison-for-some-elastic-and-mechanical-properties-of-plutonium-dioxide" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/35281.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">337</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">9020</span> Nonstationary Waves Excited by the Rigid Cylinder in Elastic Medium </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Tukeaban%20Hasanova">Tukeaban Hasanova</a>, <a href="https://publications.waset.org/abstracts/search?q=Jamila%20Imamalieva"> Jamila Imamalieva</a> </p> <p class="card-text"><strong>Abstract:</strong></p> By the operational method, the problem on two-dimensional wave propagation in elastic medium excited by the round cylinder is solved. An analytical solution responding to instantaneous application of speed to the inclusion at its subsequent change is constructed. The two-dimensional problem on wave propagation in an elastic medium is considered. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=cylinder" title="cylinder">cylinder</a>, <a href="https://publications.waset.org/abstracts/search?q=inclusion" title=" inclusion"> inclusion</a>, <a href="https://publications.waset.org/abstracts/search?q=wave" title=" wave"> wave</a>, <a href="https://publications.waset.org/abstracts/search?q=elastic%20medium" title=" elastic medium"> elastic medium</a>, <a href="https://publications.waset.org/abstracts/search?q=speed" title=" speed"> speed</a> </p> <a href="https://publications.waset.org/abstracts/101749/nonstationary-waves-excited-by-the-rigid-cylinder-in-elastic-medium" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/101749.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">163</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">9019</span> A Benchmark for Some Elastic and Mechanical Properties of Uranium Dioxide</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=E.%20G%C3%BCler">E. Güler</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20G%C3%BCler"> M. Güler</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We present some elastic parameters of cubic fluorite type uranium dioxide (UO2) with a recent EAM type interatomic potential through geometry optimization calculations. Typical cubic elastic constants, bulk modulus, shear modulus, young modulus and other related elastic parameters were calculated during research. After calculations, we compared our results not only with the available theoretical data but also with previous experimental results. Our results are consistent with experiments and compare well the former theoretical results of the considered parameters of UO2. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=UO2" title="UO2">UO2</a>, <a href="https://publications.waset.org/abstracts/search?q=elastic%20constants" title=" elastic constants"> elastic constants</a>, <a href="https://publications.waset.org/abstracts/search?q=bulk%20modulus" title=" bulk modulus"> bulk modulus</a>, <a href="https://publications.waset.org/abstracts/search?q=mechanical%20properties" title=" mechanical properties"> mechanical properties</a> </p> <a href="https://publications.waset.org/abstracts/35108/a-benchmark-for-some-elastic-and-mechanical-properties-of-uranium-dioxide" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/35108.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">412</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">9018</span> A Comparison for Some Elastic and Mechanical Properties of Neptunium Dioxide </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=E.%20G%C3%BCler">E. Güler</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20G%C3%BCler"> M. Güler</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We report some elastic quantities of cubic fluorite type plutonium dioxide (PuO2) with a recent EAM type interatomic potential through geometry optimization calculations. Typical cubic elastic constants, bulk modulus, shear modulus, young modulus and other related elastic quantities were calculated during present research. After present calculations, we have compared our results with the existing theoretical data of literature. Our results are consistent with previous theoretical findings of the considered parameters of PuO2. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=PuO2" title="PuO2">PuO2</a>, <a href="https://publications.waset.org/abstracts/search?q=elastic%20properties" title=" elastic properties"> elastic properties</a>, <a href="https://publications.waset.org/abstracts/search?q=bulk%20modulus" title=" bulk modulus"> bulk modulus</a>, <a href="https://publications.waset.org/abstracts/search?q=mechanical%20properties" title=" mechanical properties"> mechanical properties</a> </p> <a href="https://publications.waset.org/abstracts/35323/a-comparison-for-some-elastic-and-mechanical-properties-of-neptunium-dioxide" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/35323.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">309</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">9017</span> A Dislocation-Based Explanation to Quasi-Elastic Release in Shock Loaded Aluminum</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Song%20L.%20Yao">Song L. Yao</a>, <a href="https://publications.waset.org/abstracts/search?q=Ji%20D.%20Yu"> Ji D. Yu</a>, <a href="https://publications.waset.org/abstracts/search?q=Xiao%20Y.%20Pei"> Xiao Y. Pei</a> </p> <p class="card-text"><strong>Abstract:</strong></p> An explanation is introduced to study the quasi-elastic release phenomenon in shock compressed aluminum. A dislocation-based model, taking into account of dislocation substructures and evolutions, is applied to simulate the elastic-plastic response of both single crystal and polycrystalline aluminum. Simulated results indicate that dislocation immobilization during dynamic deformation results in a smooth increase of yield stress, which leads to the quasi-elastic release. While the generation of dislocations caused by plastic release wave results in the appearance of transition point between the quasi-elastic release and the plastic release in the profile. The quantities of calculated shear strength and dislocation density are in accordance with experimental result, which demonstrates the accuracy of our simulations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dislocation%20density" title="dislocation density">dislocation density</a>, <a href="https://publications.waset.org/abstracts/search?q=quasi-elastic%20release" title=" quasi-elastic release"> quasi-elastic release</a>, <a href="https://publications.waset.org/abstracts/search?q=wave%20profile" title=" wave profile"> wave profile</a>, <a href="https://publications.waset.org/abstracts/search?q=shock%20wave" title=" shock wave"> shock wave</a> </p> <a href="https://publications.waset.org/abstracts/70941/a-dislocation-based-explanation-to-quasi-elastic-release-in-shock-loaded-aluminum" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/70941.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">9016</span> First-Principles Calculations and Thermo-Calc Study of the Elastic and Thermodynamic Properties of Ti-Nb-ZR-Ta Alloy for Biomedical Applications</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Madigoe">M. Madigoe</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20Modiba"> R. Modiba</a> </p> <p class="card-text"><strong>Abstract:</strong></p> High alloyed beta (β) phase-stabilized titanium alloys are known to have a low elastic modulus comparable to that of the human bone (≈30 GPa). The β phase in titanium alloys exhibits an elastic Young’s modulus of about 60-80 GPa, which is nearly half that of α-phase (100-120 GPa). In this work, a theoretical investigation of structural stability and thermodynamic stability, as well as the elastic properties of a quaternary Ti-Nb-Ta-Zr alloy, will be presented with an attempt to lower Young’s modulus. The structural stability and elastic properties of the alloy were evaluated using the first-principles approach within the density functional theory (DFT) framework implemented in the CASTEP code. The elastic properties include bulk modulus B, elastic Young’s modulus E, shear modulus cʹ and Poisson’s ratio v. Thermodynamic stability, as well as the fraction of β phase in the alloy, was evaluated using the Thermo-Calc software package. Thermodynamic properties such as Gibbs free energy (Δ?⁰?) and enthalpy of formation will be presented in addition to phase proportion diagrams. The stoichiometric compositions of the alloy is Ti-Nbx-Ta5-Zr5 (x = 5, 10, 20, 30, 40 at.%). An optimum alloy composition must satisfy the Born stability criteria and also possess low elastic Young’s modulus. In addition, the alloy must be thermodynamically stable, i.e., Δ?⁰? < 0. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=elastic%20modulus" title="elastic modulus">elastic modulus</a>, <a href="https://publications.waset.org/abstracts/search?q=phase%20proportion%20diagram" title=" phase proportion diagram"> phase proportion diagram</a>, <a href="https://publications.waset.org/abstracts/search?q=thermo-calc" title=" thermo-calc"> thermo-calc</a>, <a href="https://publications.waset.org/abstracts/search?q=titanium%20alloys" title=" titanium alloys"> titanium alloys</a> </p> <a href="https://publications.waset.org/abstracts/141420/first-principles-calculations-and-thermo-calc-study-of-the-elastic-and-thermodynamic-properties-of-ti-nb-zr-ta-alloy-for-biomedical-applications" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/141420.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">186</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">9015</span> Shear Surface and Localized Waves in Functionally Graded Piezoactive Electro-Magneto-Elastic Media</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Karen%20B.%20Ghazaryan">Karen B. Ghazaryan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Recently, the propagation of coupled electromagnetic and elastic waves in magneto-electro-elastic (MEE) structures attracted much attention due to the wide range of application of these materials in smart structures. MEE materials are a class of new artificial composites that consist of simultaneous piezoelectric and piezomagnetic phases. Magneto-electro-elastic composites are built up by combining piezoelectric and piezomagnetic phases to obtain a smart composite that presents not only the electromechanical and magneto-mechanical coupling but also a strong magnetoelectric coupling, which makes such materials highly valuable in technological usage. In the framework of quasi-static approach shear surface and localized waves are considered in magneto-electro-elastic piezo-active structure consisting of functionally graded 6mm hexagonal symmetry group crystals. Assuming that in a functionally graded material the elastic and electromagnetic properties vary in the same proportion in direction perpendicular to the MEE polling direction, special classes of inhomogeneity functions were found, admitting exact solutions for coupled electromagnetic and elastic wave fields. Based on these exact solutions, defining the coupled shear wave field in magneto-electro-elastic composites several modal problems are considered: shear surface waves propagation along surface of a MEE half-space, interfacial wave propagation in a MEE oppositely polarized bi-layer, Love type waves in a functionally graded MEE layer overlying a homogeneous elastic half-space. For the problems under consideration corresponding dispersion equations are deduced analytically in an explicit form and for the BaTiO₃–CoFe₂O₄ crystal numerical results estimating effects of inhomogeneity and piezo effect are carried out. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=surface%20shear%20waves" title="surface shear waves">surface shear waves</a>, <a href="https://publications.waset.org/abstracts/search?q=magneto-electro-elastic%20composites" title=" magneto-electro-elastic composites"> magneto-electro-elastic composites</a>, <a href="https://publications.waset.org/abstracts/search?q=piezoactive%20crystals" title=" piezoactive crystals"> piezoactive crystals</a>, <a href="https://publications.waset.org/abstracts/search?q=functionally%20graded%20elastic%20materials" title=" functionally graded elastic materials"> functionally graded elastic materials</a> </p> <a href="https://publications.waset.org/abstracts/77434/shear-surface-and-localized-waves-in-functionally-graded-piezoactive-electro-magneto-elastic-media" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/77434.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">215</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">9014</span> A Design of Active Elastic Metamaterial with Extreme Anisotropic Stiffness</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Conner%20Side">Conner Side</a>, <a href="https://publications.waset.org/abstracts/search?q=Hunter%20Pearce"> Hunter Pearce</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Traditional elastic metamaterials have difficulties in achieving independent tunable working frequency in two orthogonal directions. In this work, we proposed a pragmatic active elastic metamaterial to obtain extreme anisotropic stiffness with a tunable working frequency range. Piezoelectric patches shunted with variable conductance are properly proposed in the microstructure unit cell to manipulate the effective elastic stiffness along two principal directions at the subwavelength scale. Simulation of manipulation of wave propagation in such metamaterials is performed. An experimental study is also conducted to validate the design, and the results are in good agreement with mathematic analysis and numerical predictions. The proposed active elastic metamaterial will bring forth significant guidelines for ultrasonic imaging technique, and the results are expected to offer novel and general design methodology for elastic metamaterials. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=microstructure" title="microstructure">microstructure</a>, <a href="https://publications.waset.org/abstracts/search?q=active%20elastic%20metamaterials" title=" active elastic metamaterials"> active elastic metamaterials</a>, <a href="https://publications.waset.org/abstracts/search?q=piezoelectric%20patches" title=" piezoelectric patches"> piezoelectric patches</a>, <a href="https://publications.waset.org/abstracts/search?q=experimental%20study" title=" experimental study"> experimental study</a> </p> <a href="https://publications.waset.org/abstracts/163676/a-design-of-active-elastic-metamaterial-with-extreme-anisotropic-stiffness" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/163676.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">94</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">9013</span> Evaluation of Static Modulus of Elasticity Depending on Concrete Compressive Strength</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 paper is focused on monitoring of dependencies of different composition concretes on elastic modulus values. To obtain a summary of elastic modulus development independence of concrete composition design variability was the objective of the experiment. Essential part of this work was initiated as a reaction to building practice when questions of elastic moduli arose at the same time and which mostly did not obtain the required and expected values from concrete constructions. With growing interest in this theme the elastic modulus questions have been developing further. <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=modulus%20%0D%0Aof%20elasticity" title=" modulus of elasticity"> modulus of elasticity</a>, <a href="https://publications.waset.org/abstracts/search?q=EuroCode%202" title=" EuroCode 2"> EuroCode 2</a> </p> <a href="https://publications.waset.org/abstracts/30167/evaluation-of-static-modulus-of-elasticity-depending-on-concrete-compressive-strength" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/30167.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">455</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">9012</span> A Study of a Plaque Inhibition Through Stenosed Bifurcation Artery considering a Biomagnetic Blood Flow and Elastic Walls</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20A.%20Anwar">M. A. Anwar</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20Iqbal"> K. Iqbal</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Razzaq"> M. Razzaq</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Background and Objectives: This numerical study reflects the magnetic field's effect on the reduction of plaque formation due to stenosis in a stenosed bifurcated artery. The entire arterythe wall is assumed as linearly elastic, and blood flow is modeled as a Newtonian, viscous, steady, incompressible, laminar, biomagnetic fluid. Methods: An Arbitrary Lagrangian-Eulerian (ALE) technique is employed to formulate the hemodynamic flow in a bifurcated artery under the effect of the asymmetric magnetic field by two-way Fluid-structure interaction coupling. A stable P2P1 finite element pair is used to discretize thenonlinear system of partial differential equations. The resulting nonlinear system of algebraic equations is solved by the Newton Raphson method. Results: The numerical results for displacement, velocity magnitude, pressure, and wall shear stresses for Reynolds numbers, Re = 500, 1000, 1500, 2000, in the presence of magnetic fields are presented graphically. Conclusions: The numerical results show that the presence of the magnetic field influences the displacement and flows velocity magnitude considerably. The magnetic field reduces the flow separation, recirculation area adjacent to stenosis and gives rise to wall shear stress. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=bifurcation" title="bifurcation">bifurcation</a>, <a href="https://publications.waset.org/abstracts/search?q=elastic%20walls" title=" elastic walls"> elastic walls</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20element" title=" finite element"> finite element</a>, <a href="https://publications.waset.org/abstracts/search?q=wall%20shear%20stress" title=" wall shear stress"> wall shear stress</a>, <a href="https://publications.waset.org/abstracts/search?q=" title=""></a> </p> <a href="https://publications.waset.org/abstracts/142091/a-study-of-a-plaque-inhibition-through-stenosed-bifurcation-artery-considering-a-biomagnetic-blood-flow-and-elastic-walls" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/142091.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">179</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">9011</span> Development of Sound Tactile Interface by Use of Human Sensation of Stiffness</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=K.%20Doi">K. Doi</a>, <a href="https://publications.waset.org/abstracts/search?q=T.%20Nishimura"> T. Nishimura</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Umeda"> M. Umeda</a> </p> <p class="card-text"><strong>Abstract:</strong></p> There are very few sound interfaces that both healthy people and hearing handicapped people can use to play together. In this study, we developed a sound tactile interface that makes use of the human sensation of stiffness. The interface comprises eight elastic objects having varying degrees of stiffness. Each elastic object is shaped like a column. When people with and without hearing disabilities press each elastic object, different sounds are produced depending on the stiffness of the elastic object. The types of sounds used were “Do Re Mi sounds.” The interface has a major advantage in that people with or without hearing disabilities can play with it. We found that users were able to recognize the hardness sensation and relate it to the corresponding Do Re Mi sounds. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=tactile%20sense" title="tactile sense">tactile sense</a>, <a href="https://publications.waset.org/abstracts/search?q=sound%20interface" title=" sound interface"> sound interface</a>, <a href="https://publications.waset.org/abstracts/search?q=stiffness%20perception" title=" stiffness perception"> stiffness perception</a>, <a href="https://publications.waset.org/abstracts/search?q=elastic%20object" title=" elastic object"> elastic object</a> </p> <a href="https://publications.waset.org/abstracts/13051/development-of-sound-tactile-interface-by-use-of-human-sensation-of-stiffness" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/13051.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">9010</span> Modeling Nanomechanical Behavior of ZnO Nanowires as a Function of Nano-Diameter</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=L.%20Achou">L. Achou</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Doghmane"> A. Doghmane </a> </p> <p class="card-text"><strong>Abstract:</strong></p> Elastic performances, as an essential property of nanowires (NWs), play a significant role in the design and fabrication of modern nanodevices. In this paper, our interest is focused on ZnO NWs to investigate wire diameter (D<sub>wire </sub>&le; 400 nm) effects on elastic properties. The plotted data reveal that a strong size dependence of the elastic constants exists when the wire diameter is smaller than ~ 100 nm. For larger diameters (D<sub>wire</sub> &gt; 100 nm), these ones approach their corresponding bulk values. To enrich this study, we make use of the scanning acoustic microscopy simulation technique. The calculation methodology consists of several steps: determination of longitudinal and transverse wave velocities, calculation of refection coefficients, calculation of acoustic signatures and Rayleigh velocity determination. Quantitatively, it was found that changes in ZnO diameters over the ranges 1 nm &le; D<sub>wire</sub> &le; 100 nm lead to similar exponential variations, for all elastic parameters, of the from: A = a + b exp(-D<sub>wire</sub>/c) where a, b, and c are characteristic constants of a given parameter. The developed relation can be used to predict elastic properties of such NW by just knowing its diameter and vice versa. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=elastic%20properties" title="elastic properties">elastic properties</a>, <a href="https://publications.waset.org/abstracts/search?q=nanowires" title=" nanowires"> nanowires</a>, <a href="https://publications.waset.org/abstracts/search?q=semiconductors" title=" semiconductors"> semiconductors</a>, <a href="https://publications.waset.org/abstracts/search?q=theoretical%20model" title=" theoretical model"> theoretical model</a>, <a href="https://publications.waset.org/abstracts/search?q=ZnO" title=" ZnO"> ZnO</a> </p> <a href="https://publications.waset.org/abstracts/77870/modeling-nanomechanical-behavior-of-zno-nanowires-as-a-function-of-nano-diameter" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/77870.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">169</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">9009</span> Estimation of Elastic Modulus of Soil Surrounding Buried Pipeline Using Multi-Response Surface Methodology</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Won%20Mog%20Choi">Won Mog Choi</a>, <a href="https://publications.waset.org/abstracts/search?q=Seong%20Kyeong%20Hong"> Seong Kyeong Hong</a>, <a href="https://publications.waset.org/abstracts/search?q=Seok%20Young%20Jeong"> Seok Young Jeong </a> </p> <p class="card-text"><strong>Abstract:</strong></p> The stress on the buried pipeline under pavement is significantly affected by vehicle loads and elastic modulus of the soil surrounding the pipeline. The correct elastic modulus of soil has to be applied to the finite element model to investigate the effect of the vehicle loads on the buried pipeline using finite element analysis. The purpose of this study is to establish the approach to calculating the correct elastic modulus of soil using the optimization process. The optimal elastic modulus of soil, which minimizes the difference between the strain measured from vehicle driving test at the velocity of 35km/h and the strain calculated from finite element analyses, was calculated through the optimization process using multi-response surface methodology. Three elastic moduli of soil (road layer, original soil, dense sand) surrounding the pipeline were defined as the variables for the optimization. Further analyses with the optimal elastic modulus at the velocities of 4.27km/h, 15.47km/h, 24.18km/h were performed and compared to the test results to verify the applicability of multi-response surface methodology. The results indicated that the strain of the buried pipeline was mostly affected by the elastic modulus of original soil, followed by the dense sand and the load layer, as well as the results of further analyses with optimal elastic modulus of soil show good agreement with the test. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=pipeline" title="pipeline">pipeline</a>, <a href="https://publications.waset.org/abstracts/search?q=optimization" title=" optimization"> optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=elastic%20modulus%20of%20soil" title=" elastic modulus of soil"> elastic modulus of soil</a>, <a href="https://publications.waset.org/abstracts/search?q=response%20surface%20methodology" title=" response surface methodology"> response surface methodology</a> </p> <a href="https://publications.waset.org/abstracts/44795/estimation-of-elastic-modulus-of-soil-surrounding-buried-pipeline-using-multi-response-surface-methodology" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/44795.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">386</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">9008</span> Effect of Elastic Modulus Anisotropy on Helical Piles Behavior in Sandy Soil</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Reza%20Ziaie%20Moayed">Reza Ziaie Moayed</a>, <a href="https://publications.waset.org/abstracts/search?q=Javad%20Shamsi%20Soosahab"> Javad Shamsi Soosahab</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Helical piles are being used extensively in engineering applications all over the world. There are insufficient studies on the helical piles' behavior in anisotropic soils. In this paper, numerical modeling was adopted to investigate the effect of elastic modulus anisotropy on helical pile behavior resting on anisotropic sand by using a finite element limit analysis. The load-displacement behavior of helical piles under compression and tension loads is investigated in different relative densities of soils, and the effect of the ratio of horizontal elastic modulus with respect to vertical elastic modulus (EH/EV) is evaluated. The obtained results illustrate that in sandy soils, the anisotropic ratio of elastic modulus (EH/EV) has notable effect on bearing capacity of helical piles in different relative density. Therefore, it may be recommended that the effect of anisotropic condition of soil elastic modulus should be considered in helical piles behavior. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=helical%20piles" title="helical piles">helical piles</a>, <a href="https://publications.waset.org/abstracts/search?q=bearing%20capacity" title=" bearing capacity"> bearing capacity</a>, <a href="https://publications.waset.org/abstracts/search?q=numerical%20modeling" title=" numerical modeling"> numerical modeling</a>, <a href="https://publications.waset.org/abstracts/search?q=soil%20anisotropy" title=" soil anisotropy"> soil anisotropy</a> </p> <a href="https://publications.waset.org/abstracts/126818/effect-of-elastic-modulus-anisotropy-on-helical-piles-behavior-in-sandy-soil" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/126818.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">163</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">9007</span> Vibration Analysis of Functionally Graded Engesser-Timoshenko Beams Subjected to Axial Load Located on a Continuous Elastic Foundation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Karami%20Khorramabadi">M. Karami Khorramabadi</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20R.%20Nezamabadi"> A. R. Nezamabadi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper studies free vibration of functionally graded beams Subjected to Axial Load that is simply supported at both ends lies on a continuous elastic foundation. The displacement field of beam is assumed based on Engesser-Timoshenko beam theory. The Young's modulus of beam is assumed to be graded continuously across the beam thickness. Applying the Hamilton's principle, the governing equation is established. Resulting equation is solved using the Euler's Equation. The effects of the constituent volume fractions and foundation coefficient on the vibration frequency are presented. To investigate the accuracy of the present analysis, a compression study is carried out with a known data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=functionally%20graded%20beam" title="functionally graded beam">functionally graded beam</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=elastic%20foundation" title=" elastic foundation"> elastic foundation</a>, <a href="https://publications.waset.org/abstracts/search?q=Engesser-Timoshenko%20beam%20theory" title=" Engesser-Timoshenko beam theory"> Engesser-Timoshenko beam theory</a> </p> <a href="https://publications.waset.org/abstracts/15081/vibration-analysis-of-functionally-graded-engesser-timoshenko-beams-subjected-to-axial-load-located-on-a-continuous-elastic-foundation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/15081.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">418</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">9006</span> Elastic Constants of Fir Wood Using Ultrasound and Compression Tests</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ergun%20Guntekin">Ergun Guntekin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Elastic constants of Fir wood (Abies cilicica) have been investigated by means of ultrasound and compression tests. Three modulus of elasticity in principal directions (EL, ER, ET), six Poisson’s ratios (ʋLR, ʋLT, ʋRT, ʋTR, ʋRL, ʋTL) and three shear modules (GLR, GRT, GLT) were determined. 20 x 20 x 60 mm samples were conditioned at 65 % relative humidity and 20ºC before testing. Three longitudinal and six shear wave velocities propagating along the principal axes of anisotropy, and additionally, three quasi-shear wave velocities at 45° angle with respect to the principal axes of anisotropy were measured. 2.27 MHz longitudinal and 1 MHz shear sensors were used for obtaining sound velocities. Stress-strain curves of the samples in compression tests were obtained using bi-axial extensometer in order to calculate elastic constants. Test results indicated that most of the elastic constants determined in the study are within the acceptable range. Although elastic constants determined from ultrasound are usually higher than those determined from compression tests, the values of EL and GLR determined from compression tests were higher in the study. The results of this study can be used in the numerical modeling of elements or systems under load using Fir wood. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=compression%20tests" title="compression tests">compression tests</a>, <a href="https://publications.waset.org/abstracts/search?q=elastic%20constants" title=" elastic constants"> elastic constants</a>, <a href="https://publications.waset.org/abstracts/search?q=fir%20wood" title=" fir wood"> fir wood</a>, <a href="https://publications.waset.org/abstracts/search?q=ultrasound" title=" ultrasound"> ultrasound</a> </p> <a href="https://publications.waset.org/abstracts/92992/elastic-constants-of-fir-wood-using-ultrasound-and-compression-tests" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/92992.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">217</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">9005</span> Relationship between Matrix Metalloproteases and Tissue Inhibitor of Matrix Metalloproteinase Levels and Elastic Moduli of Ascending Aneurysms</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Khalil%20Khanafer">Khalil Khanafer</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The objective of this study is to determine if there is a correlation between the biological levels of matrix metalloproteinases and tissue inhibitor of matrix metalloproteinase (TIMP) and the elastic moduli of the ascending aortic wall in patients with ascending thoracic aortic aneurysms (ATAA). Methods: Circumferential specimens from twelve patients with ATAA were obtained from the greater curvature, and their tensile properties (maximum elastic modulus) were tested uniaxially. The levels of MMP2, 3, and 9, as well as TIMP1, were determined in these aortic wall specimens using MMP/TIMP antibodies array. Direct relations were found between MMP2 and the elastic modulus of the ascending aorta wall and between MMP9 and TIMP1. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=elastic%20modulus" title="elastic modulus">elastic modulus</a>, <a href="https://publications.waset.org/abstracts/search?q=MMPs%2FTIMPs%20levels" title=" MMPs/TIMPs levels"> MMPs/TIMPs levels</a>, <a href="https://publications.waset.org/abstracts/search?q=Ascending%20Thoracic%20Aortic%20Aneurysm" title=" Ascending Thoracic Aortic Aneurysm"> Ascending Thoracic Aortic Aneurysm</a> </p> <a href="https://publications.waset.org/abstracts/91310/relationship-between-matrix-metalloproteases-and-tissue-inhibitor-of-matrix-metalloproteinase-levels-and-elastic-moduli-of-ascending-aneurysms" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/91310.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">160</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">9004</span> Determination of the Local Elastic Moduli of Shungite by Laser Ultrasonic Spectroscopy</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Elena%20B.%20Cherepetskaya">Elena B. Cherepetskaya</a>, <a href="https://publications.waset.org/abstracts/search?q=Alexander%20A.Karabutov"> Alexander A.Karabutov</a>, <a href="https://publications.waset.org/abstracts/search?q=Vladimir%20A.%20Makarov"> Vladimir A. Makarov</a>, <a href="https://publications.waset.org/abstracts/search?q=Elena%20A.%20Mironova"> Elena A. Mironova</a>, <a href="https://publications.waset.org/abstracts/search?q=Ivan%20A.%20Shibaev"> Ivan A. Shibaev</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In our study, the object of laser ultrasonic testing was plane-parallel plate of shungit (length 41 mm, width 31 mm, height 15 mm, medium exchange density 2247 kg/m3). We used laser-ultrasonic defectoscope with wideband opto-acoustic transducer in our investigation of the velocities of longitudinal and shear elastic ultrasound waves. The duration of arising elastic pulses was less than 100 ns. Under known material thickness, the values of the velocities were determined by the time delay of the pulses reflected from the bottom surface of the sample with respect to reference pulses. The accuracy of measurement was 0.3% in the case of longitudinal wave velocity and 0.5% in the case of shear wave velocity (scanning pitch along the surface was 2 mm). On the base of found velocities of elastic waves, local elastic moduli of shungit (Young modulus, shear modulus and Poisson's ratio) were uniquely determined. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=laser%20ultrasonic%20testing" title="laser ultrasonic testing ">laser ultrasonic testing </a>, <a href="https://publications.waset.org/abstracts/search?q=local%20elastic%20moduli" title=" local elastic moduli"> local elastic moduli</a>, <a href="https://publications.waset.org/abstracts/search?q=shear%20wave%20velocity" title=" shear wave velocity"> shear wave velocity</a>, <a href="https://publications.waset.org/abstracts/search?q=shungit" title=" shungit"> shungit</a> </p> <a href="https://publications.waset.org/abstracts/54585/determination-of-the-local-elastic-moduli-of-shungite-by-laser-ultrasonic-spectroscopy" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/54585.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">308</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">9003</span> Studying the Temperature Field of Hypersonic Vehicle Structure with Aero-Thermo-Elasticity Deformation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Geng%20Xiangren">Geng Xiangren</a>, <a href="https://publications.waset.org/abstracts/search?q=Liu%20Lei"> Liu Lei</a>, <a href="https://publications.waset.org/abstracts/search?q=Gui%20Ye-Wei"> Gui Ye-Wei</a>, <a href="https://publications.waset.org/abstracts/search?q=Tang%20Wei"> Tang Wei</a>, <a href="https://publications.waset.org/abstracts/search?q=Wang%20An-ling"> Wang An-ling</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The malfunction of thermal protection system (TPS) caused by aerodynamic heating is a latent trouble to aircraft structure safety. Accurately predicting the structure temperature field is quite important for the TPS design of hypersonic vehicle. Since Thornton&rsquo;s work in 1988, the coupled method of aerodynamic heating and heat transfer has developed rapidly. However, little attention has been paid to the influence of structural deformation on aerodynamic heating and structural temperature field. In the flight, especially the long-endurance flight, the structural deformation, caused by the aerodynamic heating and temperature rise, has a direct impact on the aerodynamic heating and structural temperature field. Thus, the coupled interaction cannot be neglected. In this paper, based on the method of static aero-thermo-elasticity, considering the influence of aero-thermo-elasticity deformation, the aerodynamic heating and heat transfer coupled results of hypersonic vehicle wing model were calculated. The results show that, for the low-curvature region, such as fuselage or center-section wing, structure deformation has little effect on temperature field. However, for the stagnation region with high curvature, the coupled effect is not negligible. Thus, it is quite important for the structure temperature prediction to take into account the effect of elastic deformation. This work has laid a solid foundation for improving the prediction accuracy of the temperature distribution of aircraft structures and the evaluation capacity of structural performance. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=aerothermoelasticity" title="aerothermoelasticity">aerothermoelasticity</a>, <a href="https://publications.waset.org/abstracts/search?q=elastic%20deformation" title=" elastic deformation"> elastic deformation</a>, <a href="https://publications.waset.org/abstracts/search?q=structural%20temperature" title=" structural temperature"> structural temperature</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-field%20coupling" title=" multi-field coupling"> multi-field coupling</a> </p> <a href="https://publications.waset.org/abstracts/22907/studying-the-temperature-field-of-hypersonic-vehicle-structure-with-aero-thermo-elasticity-deformation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22907.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">341</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">9002</span> Effects of Elastic, Plyometric and Strength Training on Selected Anaerobic Factors in Sanandaj Elite Volleyball Players</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Majed%20Zobairy">Majed Zobairy</a>, <a href="https://publications.waset.org/abstracts/search?q=Fardin%20Kalvandi"> Fardin Kalvandi</a>, <a href="https://publications.waset.org/abstracts/search?q=Kamal%20Azizbaigi"> Kamal Azizbaigi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This research was carried out for evaluation of elastic, plyometric and resistance training on selected anaerobic factors in men volleyball players. For these reason 30 elite volleyball players of Sanandaj city randomly divided into 3 groups as follow: elastic training, plyometric training and resistance training. Pre-exercise tests which include vertical jumping, 50 yard speed running and scat test were done and data were recorded. Specific exercise protocol regimen was done for each group and then post-exercise tests again were done. Data analysis showed that there were significant increases in exercise test in each group. One way ANOVA analysis showed that increases in speed records in elastic group were significantly higher than the other groups (p<0/05),based on research data it seems that elastic training can be a useful method and new approach in improving functional test and training regimen. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=elastic%20training" title="elastic training">elastic training</a>, <a href="https://publications.waset.org/abstracts/search?q=plyometric%20training" title=" plyometric training"> plyometric training</a>, <a href="https://publications.waset.org/abstracts/search?q=strength%20training" title=" strength training"> strength training</a>, <a href="https://publications.waset.org/abstracts/search?q=anaerobic%20power" title=" anaerobic power"> anaerobic power</a> </p> <a href="https://publications.waset.org/abstracts/25432/effects-of-elastic-plyometric-and-strength-training-on-selected-anaerobic-factors-in-sanandaj-elite-volleyball-players" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/25432.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">528</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">9001</span> Simplified Modelling of Visco-Elastic Fluids for Use in Recoil Damping Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Prasad%20Pokkunuri">Prasad Pokkunuri</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Visco-elastic materials combine the stress response properties of both solids and fluids and have found use in a variety of damping applications – both vibrational and acoustic. Defense and automotive applications, in particular, are subject to high impact and shock loading – for example: aircraft landing gear, firearms, and shock absorbers. Field responsive fluids – a class of smart materials – are the preferred choice of energy absorbents because of their controllability. These fluids’ stress response can be controlled by the application of a magnetic or electric field, in a closed loop. Their rheological properties – elasticity, plasticity, and viscosity – can be varied all the way from that of a liquid such as water to a hard solid. This work presents a simplified model to study the impulse response behavior of such fluids for use in recoil damping systems. The well-known Burger’s equation, in conjunction with various visco-elastic constitutive models, is used to represent fluid behavior. The Kelvin-Voigt, Upper Convected Maxwell (UCM), and Oldroyd-B constitutive models are implemented in this study. Using these models in a one-dimensional framework eliminates additional complexities due to geometry, pressure, body forces, and other source terms. Using a finite difference formulation to numerically solve the governing equation(s), the response to an initial impulse is studied. The disturbance is confined within the problem domain with no-inflow, no-outflow boundary conditions, and its decay characteristics studied. Visco-elastic fluids typically involve a time-dependent stress relaxation which gives rise to interesting behavior when subjected to an impulsive load. For particular values of viscous damping and elastic modulus, the fluid settles into a stable oscillatory state, absorbing and releasing energy without much decay. The simplified formulation enables a comprehensive study of different modes of system response, by varying relevant parameters. Using the insights gained from this study, extension to a more detailed multi-dimensional model is considered. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Burgers%20Equation" title="Burgers Equation">Burgers Equation</a>, <a href="https://publications.waset.org/abstracts/search?q=Impulse%20Response" title=" Impulse Response"> Impulse Response</a>, <a href="https://publications.waset.org/abstracts/search?q=Recoil%20Damping%20Systems" title=" Recoil Damping Systems"> Recoil Damping Systems</a>, <a href="https://publications.waset.org/abstracts/search?q=Visco-elastic%20Fluids" title=" Visco-elastic Fluids"> Visco-elastic Fluids</a> </p> <a href="https://publications.waset.org/abstracts/68315/simplified-modelling-of-visco-elastic-fluids-for-use-in-recoil-damping-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/68315.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">292</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">9000</span> Further Investigation of α+12C and α+16O Elastic Scattering</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sh.%20Hamada">Sh. Hamada</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The current work aims to study the rainbow like-structure observed in the elastic scattering of alpha particles on both <sup>12</sup>C and <sup>16</sup>O nuclei. We reanalyzed the experimental elastic scattering angular distributions data for α+<sup>12</sup>C and α+<sup>16</sup>O nuclear systems at different energies using both optical model and double folding potential of different interaction models such as: CDM3Y1, DDM3Y1, CDM3Y6 and BDM3Y1. Potential created by BDM3Y1 interaction model has the shallowest depth which reflects the necessity to use higher renormalization factor (<strong><em>N<sub>r</sub></em></strong>). Both optical model and double folding potential of different interaction models fairly reproduce the experimental data. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=density%20distribution" title="density distribution">density distribution</a>, <a href="https://publications.waset.org/abstracts/search?q=double%20folding" title=" double folding"> double folding</a>, <a href="https://publications.waset.org/abstracts/search?q=elastic%20scattering" title=" elastic scattering"> elastic scattering</a>, <a href="https://publications.waset.org/abstracts/search?q=nuclear%20rainbow" title=" nuclear rainbow"> nuclear rainbow</a>, <a href="https://publications.waset.org/abstracts/search?q=optical%20model" title=" optical model"> optical model</a> </p> <a href="https://publications.waset.org/abstracts/61332/further-investigation-of-a12c-and-a16o-elastic-scattering" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/61332.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">237</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">8999</span> Some Basic Problems for the Elastic Material with Voids in the Case of Approximation N=1 of Vekua&#039;s Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Bakur%20Gulua">Bakur Gulua</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work, we consider some boundary value problems for the plate. The plate is the elastic material with voids. The state of plate equilibrium is described by the system of differential equations that is derived from three-dimensional equations of equilibrium of an elastic material with voids (Cowin-Nunziato model) by Vekua's reduction method. Its general solution is represented by means of analytic functions of a complex variable and solutions of Helmholtz equations. The problem is solved analytically by the method of the theory of functions of a complex variable. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=the%20elastic%20material%20with%20voids" title="the elastic material with voids">the elastic material with voids</a>, <a href="https://publications.waset.org/abstracts/search?q=boundary%20value%20problems" title=" boundary value problems"> boundary value problems</a>, <a href="https://publications.waset.org/abstracts/search?q=Vekua%27s%20reduction%20method" title=" Vekua&#039;s reduction method"> Vekua&#039;s reduction method</a>, <a href="https://publications.waset.org/abstracts/search?q=a%20complex%20variable" title=" a complex variable"> a complex variable</a> </p> <a href="https://publications.waset.org/abstracts/148861/some-basic-problems-for-the-elastic-material-with-voids-in-the-case-of-approximation-n1-of-vekuas-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/148861.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">127</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">&lsaquo;</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=elastic%20field&amp;page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=elastic%20field&amp;page=3">3</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=elastic%20field&amp;page=4">4</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=elastic%20field&amp;page=5">5</a></li> <li class="page-item"><a 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