{"title":"Analytical Solution of Stress Distribution ona Hollow Cylindrical Fiber of a Composite with Cylindrical Volume Element under Axial Loading","authors":"M. H. Kargarnovin, K. Momeni","volume":12,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":113,"pagesEnd":121,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9237","abstract":"The study of the stress distribution on a hollow\r\ncylindrical fiber placed in a composite material is considered in this\r\nwork and an analytical solution for this stress distribution has been\r\nconstructed. Finally some parameters such as fiber-s thickness and\r\nfiber-s length are considered and their effects on the distribution of\r\nstress have been investigated. For finding the governing relations,\r\ncontinuity equations for the axisymmetric problem in cylindrical\r\ncoordinate (r,o,z) are considered. Then by assuming some conditions\r\nand solving the governing equations and applying the boundary\r\nconditions, an equation relates the stress applied to the representative\r\nvolume element with the stress distribution on the fiber has been\r\nfound.","references":"[1] H. L.Cox, \"The Elasticity And Strength of Paper and Other Fibrous\r\nMaterials\", J. Appl. Phys. vol. 3, pp. 72-79, 1952.\r\n[2] B. W., Rosen, N. F., Dow, Z., Hashin, \"Mechanical Properties of Fibrous\r\nComposites\", General Electric Co. report, Philadelphia, PA., p. 157, Apr\r\n1964.\r\n[3] T., Okabe N., Takeda \"Estimation of Strength Distribution For A Fiber\r\nEmbedded In a Single-Fiber Composite: Experiments And Statistical\r\nSimulation Based On The Elasto-Plastic Shear-Lag Approach\",\r\nComposites Science and Technology, vol. 61, pp.1789-1800, 2001.\r\n[4] Brighenti R., \"A mechanical model for fiber reinforced composite\r\nmaterials with elasto-plastic matrix and interface debond\",\r\nComputational Materials Science, vol. 29, pp. 475-493, 2004.\r\n[5] G. Anagnostopoulos, J. Parthenios, A.G. Andreopoulos, C. Galiotis, \"An\r\nexperimental and theoretical study of the stress transfer problem in\r\nfibrous composites\", Acta Materialia, vol. 53, pp. 4173-4183, 2005.\r\n[6] T. Okabea, N. Takedab, \"Elastoplastic shear-lag analysis of single-fiber\r\ncomposites and strength prediction of unidirectional multi-fiber\r\ncomposites\", Composites: Part A, Vol. 33 ,pp. 1327-1335, 2002.\r\n[7] Z. Xia, W.A. Curtin, T. Okabe, \"Green-s function vs. shear-lag models\r\nof damage and failure in fiber composites\", Composites Science and\r\nTechnology, vol. 62, pp. 1279-1288, 2002.\r\n[8] M. Homayonifar, S.M. Zebarjad, \"Investigation of the effect of matrix\r\nvolume fraction on fiber stress distribution in polypropylene fiber\r\ncomposite using a simulation method\", Materials and Design, vol. 28,\r\npp. 1386-1392, 2007.\r\n[9] Vittorio Sansalone , Patrizia Trovalusci, Fabrizio Cleri, \"Multiscale\r\nmodeling of materials by a multifield approach: Microscopic stress and\r\nstrain distribution in fiber-matrix composites\", Acta Materialia, vol. 54,\r\npp. 3485-3492, 2006.\r\n[10] A. B. Morais, \"Stress distribution along broken fibres in polymer-matrix\r\ncomposites\", Composites Science and Technology, vol. 61, pp.1571-\r\n1580, 2001.\r\n[11] P. Boresi, and K P. Chong, \"Elasticity in Engineering Mechanics\", John\r\nWiley, 2000.\r\n[12] Mallick, P., \"Composites Engineering Handbook\", Marcel Dekker, 1997.\r\n[13] Roylance, D., \"Introduction to Composite Materials\", Department of\r\nMaterials Science and Engineering, Massachusetts Institute of\r\nTechnology, March 2004.\r\n[14] Spragg, C. J. and Drzal, L. T., \"Fiber, Matrix, and Interface Properties\",\r\npub. ASTM, 1996.\r\n[15] Kelly, A. and Tyson, W. J., \"Tensile Properties of Fiber-Reinforced\r\nMetals: copper\/tungsten and copper\/molybdenum\", Mech. Phys. Solids,\r\nVol. 13, 1965, pp. 329-50.\r\n[16] Boresi, P. and Chong, K P., \"Elasticity in Engineering Mechanics\", John\r\nWiley, 2000.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 12, 2007"}