Large deflection analysis of thermo-mechanical loaded annular FGM plates on nonlinear elastic foundation via DQM

Composite Structures

Volumn 92, Issue 10, 2010, Pages 2369-2378

  Sepahi, O ^a   Forouzan, M R ^a   Malekzadeh, P ^b  

^a ISFAHAN UNIVERSITY OF TECHNOLOGY   (Iran)

^b PERSIAN GULF UNIVERSITY   (Iran)

Author keywords

Annular FGM plates; Differential quadrature method; Geometrically nonlinear; Nonlinear elastic foundation; Thermo mechanical loading

Indexed keywords

AXISYMMETRIC; DIFFERENTIAL QUADRATURE METHODS; ELASTIC FOUNDATION; FIRST-ORDER SHEAR DEFORMATION THEORY; GEOMETRICALLY NONLINEAR; GOVERNING EQUATIONS; LARGE DEFLECTION; LARGE DEFLECTION ANALYSIS; MATHEMATICAL MODELING; MECHANICAL AND THERMAL PROPERTIES; NONLINEAR ELASTIC FOUNDATION; NONUNIFORM TEMPERATURE; NUMERICAL TECHNIQUES; POWER LAW DISTRIBUTION; SIMPLY SUPPORTED; THERMO-MECHANICAL; THERMO-MECHANICAL LOADING; THICKNESS DIRECTION; UNIFORM LOADING; VOLUME FRACTION INDEX; VON KARMAN;

BIOLOGICAL ORGANS; DIFFERENTIATION (CALCULUS); FOUNDATIONS; MECHANICAL PROPERTIES; PLATES (STRUCTURAL COMPONENTS); SHEAR DEFORMATION; THERMODYNAMIC PROPERTIES; TITRATION;

NONLINEAR EQUATIONS;

DEFORMATION; ELASTICITY; MATHEMATICAL MODEL; MECHANICAL PROPERTY; SHEAR PROPERTY; STIFFNESS; STRUCTURAL ANALYSIS; TEMPERATURE; THERMAL PROPERTY;

EID: 77952429492     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2010.03.011     Document Type: Article

References (26)

1. Yamanoushi M, Koizumi M, Hiraii T, Shiota I. editors. Proceedings of the first international symposium on functionally gradient materials, Japan; 1990.
2. Koizumi M. The concept of FGM. Ceram Trans Funct Grad Mater 1993, 34:3-10.
3. Feldman E., Aboudi J. Buckling analysis of functionally graded plates subjected to uniaxial loading. Compos Struct 1997, 38:29-36.
4. Shariat B.A.S., Eslami M.R. Buckling of thick functionally graded plates under mechanical and thermal loads. Compos Struct 2007, 78:433-439.
5. Zhao X., Lee Y.Y., Liew K.M. Mechanical and thermal buckling analysis of functionally graded plates. Compos Struct 2009, 90:161-171.
6. Shariat B.A.S., Javaheri R., Eslami M.R. Buckling of imperfect functionally graded plates under in-plane compressive loading. Thin-Wall Struct 2005, 43:1020-1036.
7. Praveen G.N., Reddy J.N. Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates. Int J Solids Struct 1998, 35:4457-4476.
8. Zhao X., Liew K.M. Geometrically nonlinear analysis of functionally graded plates using the element-free kp-Ritz method. Comput Meth Appl Mech Eng 2009, 198:2796-2811.
9. Wu T.L., Shukla K.K., Huang J.H. Post-buckling analysis of functionally graded rectangular plates. Compos Struct 2007, 81:1-10.
10. Yang J., Shen H.S. Nonlinear bending analysis of shear deformable functionally graded plates subjected to thermo-mechanical loads under various boundary conditions. Composites Part B 2003, 34:103-115.
11. Shen H.S. Thermal post-buckling behavior of shear deformable FGM plates with temperature-dependent properties. Int J Mech Sci 2007, 49:466-478.
12. Alinia M.M., Ghannadpour S.A.M. Nonlinear analysis of pressure loaded FGM plates. Compos Struct 2009, 88:354-359.
13. Reddy J.N., Wang C.M., Kitipornchai S. Axisymmetric bending of functionally graded circular and annular plates. Eur J Mech A: Solids 1999, 18:185-199.
14. Rashed Y.F. An alternative treatment of body forces in the BEM for thick plates resting on elastic foundations. Eng Anal Bound Elem 2000, 24:491-501.
15. Mian M.A., Spencer A.J.M. Exact solution for functionally graded and laminated elastic materials. J Mech Phys Solid 1998, 46:2283-2295.
16. Ma L.S., Wang T.J. Relationships between the solutions of axisymmetric bending and buckling of functionally graded circular plates based on the third-order plate theory and the classical solutions for isotropic circular plates. Int J Solids Struct 2004, 41:85-101.
17. Najafizadeh M.M., Eslami M.R. Buckling analysis of circular plates of functionally graded materials under uniform radial compression. Int J Mech Sci 2002, 4:2479-2493.
18. Najafizadeh M.M., Heydari H.R. Thermal buckling of functionally graded circular plates based on higher order shear deformation plate theory. Eur J Mech A: Solids 2004, 23:1085-1100.
19. Ma L.S., Wang T.J. Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loadings. Int J Solids Struct 2003, 40:3311-3330.
20. Li S.R., Zhang J.H., Zhao Y.G. Nonlinear thermomechanical post-buckling of circular FGM plate with geometric imperfection. Thin-Wall Struct 2007, 45:528-536.
21. Nosier A., Fallah F. Non-linear analysis of functionally graded circular plates under asymmetric transverse loading. Int J Non Lin Mech 2009, 44:928-942.
22. Malekzadeh P., Setoodeh A.R. Large deformation analysis of moderately thick laminated plates on nonlinear elastic foundations by DQM. Compos Struct 2007, 80:569-579.
23. Malekzadeh P., Farid M. A DQ large deformation analysis of composite plates on nonlinear elastic foundations. Compos Struct 2007, 79:251-260.
24. Malekzadeh P., Fiouz A.R. Large deformation analysis of orthotropic skew plates with nonlinear rotationally restrained edges using DQM. Compos Struct 2007, 80:196-206.
25. Malekzadeh P. Nonlinear free vibration of tapered Mindlin plates with edges elastically restrained against rotation using DQM. Thin-Wall Struct 2008, 46:11-26.
26. Shu C. Differential quadrature and its application in engineering 2000, Springer, London.