Document Type: Persian
Authors
^{1} Assistant Professor, Shahid Beheshti University, Tehran, Iran.
^{2} PhD Student, Shahid Beheshti University, Tehran, Iran.
Abstract
Keywords
[1] Koizumi M., The concept of FGM, Ceramic Transactions, Functionally Gradient. Materials, vol. 34, 1993, pp. 3-10.
[2] Aboudi J., Pindera M.J., Arnold S.M., Thermoelastic theory for the response of materials functionally graded in Two Directions, International Journal of Solid and Structures, vol. 33, 1996, pp. 931-966.
[3] Aboudi J., Pindera M.J., Arnold S.M., Elastic response of metal matrix composites with tailores microstructures to thermal gradient, International Journal of Solid and Structures, vol. 31, 1994, pp. 1393-1428.
[4] Aboudi J., Pindera M.J., Arnold S.M., Higher order theory for functionally graded materials, Composites Part B, vol. 30, 1999, pp. 777-832.
[5] Reddy J.N., Praveen G.N., Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates, , International Journal of Solid and Structures, vol. 35, 1998, pp. 4457-4476.
[6] Reddy J.N., Wang C.M., Kitipornchai S., Axisymmetric bending of functionally graded circular and annular plates, , European Journal of Mechanics A/Solids, vol. 18, 1999, pp. 185-199.
[7] Reddy J.N., Analysis of functionally graded plates, International Journal for Numerical Method in Engineering, vol. 47, 2000, pp. 663-684.
[8] Reddy J.N., Cheng Z.Q., Three-dimensional thermo-mechanical deformation of functionally graded rectangular plate, European Journal of Mechanics A/Solids, vol. 20, 2001, pp. 841-855.
[9] Cheng Z.Q., Batra R.C., Three-dimensional deformation of a functionally graded elliptic plate, Composite Part B, vol. 31, 2000, pp. 97-106.
[10] Cheng Z.Q., BatraR.C., Deflection relationships between the homogeneous Kirchhoff plate theory and different functionally graded plate theories, Archive of mechanics, vol. 52, 2000, pp. 143-158.
[11] Kashtalyan M., Three-dimensional elasticity solution for bending of functionally graded rectangular plates,European Journal of Mechanics A/Solids, vol. 23, 2004, pp. 853-864.
[12] Woo J., Meguid S.A., Nonlinear analysis of functionally graded platesand shallow shells,International Journal of Solid and Structures, vol. 38, 2001, pp. 9-21.
[13] Yang J., Shen H.S., Non-linear analysis of functionally graded plates under transverse and in-plane loads, International Journal of Non-linear Mechanics, vol. 38, 2003, pp. 467-482.
[14] Ghannad Pour S.A.M., Alinia M.M., Large deflection behavior of functionally graded plates under pressure loads, Composite Structures, 75, 2006, pp. 67-71.
[15] Alibeigloo A., Exact solution for thermo-elastic response of functionally graded rectangular plates, Composite Structures, vol. 92, 2010, pp. 113-121.
[16] Kumar J.S., Reddy B.S., Reddy C.E., Nonlinear bending analysis of functionally graded plates using higher order theory, International Journal of Engineering Science and Technology, vol. 3, 2012, pp. 3010-3022.
[17] Otter J.R.H., Day A.S., Tidal flow computations, The Engineer, 209, 1960, pp. 177-182.
[18] DayA.S., An introduction to dynamic relaxation, The Engineer, vol. 19, 1965, pp. 218-221.
[19] Otter J.R.H., Computations for prestressed concrete reactor pressure vessels using dynamic relaxation, Nuclear Structural Engineering, vol. 1, 1965, pp. 61-75.
[20] Turvey G.J., Osman M.Y., Elastic large deflection analysis of isotropic rectangular Mindlin plates, International Journal of Mechanical sciences, vol. 32, 1990, pp. 315-328.
[21] Falahatgar S.R., Salehi M., Dynamic relaxation nonlinear viscoelastic analysis of annular sector composite plate, Journal of Composite Materials, vol. 43, 2009, pp. 257-275.
[22] Turvey G.J., Salehi M., DR large deflection analysis of sector plates, Computers and Structures, vol. 34, 1990, pp. 101-112.
[23] Turvey G.J., Salehi M., Computer-generated elasto-plastic design data for pressure loaded circular plates, Computers and Structures, vol. 41, 1991, pp. 1329-1340.
[24] Salehi M., Shahidi A.G., Large deflection analysis of sector Mindlin plates, Computers and Structures, vol. 52, 1994, pp. 987-998.
[25] Turvey G.J., SalehiM., Circular plates with one diametral stiffener-an elastic large deflection analysis, Computersand Structures, vol. 63, 1997, pp. 775-783.
[26] Golmakani E., KadkhodayanM., Nonlinear bending analysis of annular FGM plates using higher-order shear deformation plate Theories, Composite Structures, vol. 93, 2011, pp. 973-982.
[27] Delale F., Erdogan F., The crack problem for a nonhomogeneous plane, ASME Journal of Applied Mechanics, vol. 50, 1983, pp. 609-614.
[28] Reddy J.N., Mechanics of laminated Composite Plates and Shells Theory and Analysis, Second Edition, CRC Press, 2004, Boca Raton, FL.
[29] Chajes A., Principles of Structural Stability Theory, Prentice-Hall, 1974.
[30] Cassel A.C., Hobbs R.E., Numerical stability of dynamic relaxation analysis of non-linear structures, International Journal for Numerical Methods in Engineering, vol. 10, 1976. pp. 1407-1410.