Static response of functionally graded plates and doubly-curved shells based on a higher order shear deformation theory

European Journal of Mechanics, A/Solids

Volumn 36, Issue , 2012, Pages 163-172

  Oktem, A S ^a   Mantari, J L ^a   Soares, C Guedes ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

Analytical solution; Boundary discontinuous Fourier; Fully simply supported; Functionally graded plates shells; Higher order theory; Static analysis

Indexed keywords

DOUBLE FOURIER SERIES; FINITE ELEMENT SOLUTION; FOURIER; FUNCTIONALLY GRADED PLATES; HIGHER ORDER SHEAR DEFORMATION THEORY; HIGHER-ORDER THEORY; INHOMOGENEITIES; LAMINATED SHELL; LINEAR PARTIAL DIFFERENTIAL EQUATIONS; NUMERICAL RESULTS; POWER LAW DISTRIBUTION; SIMPLY SUPPORTED; SOLUTION METHODOLOGY; STATIC RESPONSE; THICKNESS DIRECTION;

FOURIER SERIES; MECHANICAL PROPERTIES; PARTIAL DIFFERENTIAL EQUATIONS; SHEAR DEFORMATION; STATIC ANALYSIS;

SHELLS (STRUCTURES);

EID: 84859895905     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2012.03.002     Document Type: Article

References (24)

1. M.M. Aghdam, K. Bigdelli, and N. Shahmansouri A semi-analytical solution for bending of moderately thick curved functionally graded panels Mech. Adv. Mater. Struct. 17 2010 320 327
2. V. Birman, and L.W. Byrd Modeling and analysis of functionally graded materials and structures ASME Appl. Mech. Rev. 60 2007 195 216
3. Y. Bo, D. Hao-jiang, and C. Wei-qiu Elasticity solutions for functionally graded plates in cylindrical bending Appl. Math. Mech. 29 8 2008 999 1004
4. R.A. Chaudhuri On boundary-discontinuous double Fourier series solution to a system of completely coupled P.D.E.'S Int. J. Eng. Sci. 27 9 1989 1005 1022
5. R.A. Chaudhuri On the roles of complementary and admissible boundary constraints in Fourier solutions to boundary-value problems of completely coupled rth order P.D.E.'s J. Sound Vib. 251 2002 261 313
6. Z.Q. Cheng, and R.C. Batra Deflection relationships between the homogeneous Kirchhoff plate theory and different functionally graded plate theories Arch. Mech. 52 2000 143 158
7. I. Elishakoff Three-dimensioanl analysis of an all-round clamped plate made of functionally graded materials Acta Mech. 180 2005 21 36
8. A.J.M. Ferreira, R.C. Batra, C.M.C. Roque, L.F. Qian, and P.A.L.S. Martins Static analysis of functionally graded plates using third-order shear deformation theory Compos. Struct. 69 2005 449 457
9. M. Kashtalyan Three-dimensional elasticity solution for bending of functionally graded plates Eur. J. Mech. A/Solid 23 2004 853 864
10. R.S. Khabbaz, B.D. Manshadi, and A. Abedian Nonlinear analysis of fgm plates under pressure loads using the higher-order shear deformation theories Compos. Struct. 89 2009 333 344
11. H. Matsunaga Stress analysis of functionally graded plates subjected to thermal and mechanical loadings Compos. Struct. 87 2009 344 357
12. A.S. Oktem, and R.A. Chaudhuri Levy type Fourier analysis of thick cross-ply doubly-curved panels Compos. Struct. 80 2007 475 488
13. A.S. Oktem, and R.A. Chaudhuri Fourier analysis of thick cross-ply levy type clamped doubly-curved panels Compos. Struct. 80 2007 489 503
14. A.S. Oktem, and R.A. Chaudhuri Sensitivity of the response of thick doubly curved cross-ply panels to edge clamping Compos. Struct. 87 2009 293 306
15. A.S. Oktem, and R.A. Chaudhuri Higher-order theory based boundary-discontinuous Fourier analysis of simply supported thick cross-ply doubly curved panels Compos. Struct. 89 2009 448 458
16. A.S. Oktem, and C. Guedes Soares Boundary discontinuous Fourier solution for plates and doubly curved panels using a higher order theory Compos. Part B: Eng. 42 4 2011 842 850
17. F. Ramirez, P.R. Heyliger, and E. Pan Static analysis of functionally graded elastic anisotropic plates using a discrete layer approach Compos:Part B 37 2006 10 20
18. J.N. Reddy, and C.F. Liu A higher-order shear deformation theory of laminated elastic shells Int. J. Eng. Sci. 23 1985 319 330
19. J.N. Reddy Analysis of functionally graded plates Int. J. Numer. Meth. Eng. 47 2000 663 684
20. J. Sladek, V. Sladek, C.H. Hellmich, and J. Eberhardsteiner Analysis of thick functionally graded plates by local integral equation Commun. Numer. Meth. Eng. 23 2007 733 754
21. M. Talha, and B.N. Singh Static response and free vibration analysis of fgm plates using higher order shear deformation theory Appl. Math. Model. 34 2010 3991 4011
22. R. Vaghefi, G.H. Baradaran, and H. Koohkan Three-dimensioanl static analysis of thick functionally graded plates by using meshless local Petrov-Galerkin (MLPG) method Eng. Analy. Boun. Elem. 34 2010 564 573
23. C.P. Wu, and H.Y. Li An rmvt-based third-order shear deformation theory of multilayered functionally graded material plates Compos. Struct. 92 2010 2591 2605
24. A.M. Zenkour Generalized shear deformation theory for bending analysis of functionally graded plates Appl. Math. Model. 30 2006 67 84