Buckling analysis of functionally graded arbitrary straight-sided quadrilateral plates on elastic foundations

Meccanica

Volumn 47, Issue 2, 2012, Pages 321-333

  Malekzadeh, P ^a   GolbaharHaghighi M R ^a   AlibeygiBeni A ^a  

^a PERSIAN GULF UNIVERSITY   (Iran)

Author keywords

Buckling; Differential quadrature; Elastic foundation; FG quadrilateral plates

Indexed keywords

BIOLOGICAL ORGANS; COMPUTATION THEORY; DIFFERENTIATION (CALCULUS); FOUNDATIONS; NUMERICAL METHODS; PLATES (STRUCTURAL COMPONENTS); SHEAR DEFORMATION;

CRITICAL BUCKLING LOADS; DIFFERENTIAL QUADRATURE; DIFFERENTIAL QUADRATURE METHODS; ELASTIC FOUNDATION; FG QUADRILATERAL PLATES; FIRST-ORDER SHEAR DEFORMATION THEORY; PLATES ON ELASTIC FOUNDATIONS; VOLUME FRACTION INDEX;

BUCKLING;

EID: 84855655794     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11012-011-9436-y     Document Type: Article

References (25)

1. J Ying CF Lü WQ Chen 2008 Two-dimensional elasticity solutions for functionally graded beams on elastic foundations Compos Struct 84 209 219 10.1016/j.compstruct.2007.07.004 (Pubitemid 351396257)
2. ZY Huang CF Lü WQ Chen 2008 Benchmark solutions for functionally graded thick plates resting on Winkler-Pasternak elastic foundations Compos Struct 85 95 104 10.1016/j.compstruct.2007.10.010 (Pubitemid 351598110)
3. P Malekzadeh 2009 Three-dimensional free vibration analysis of thick functionally graded plates on elastic foundations Compos Struct 89 367 373 10.1016/j.compstruct.2008.08.007
4. AM Zenkour 2009 The refined sinusoidal theory for FGM plates on elastic foundations Int J Mech Sci 51 869 880 10.1016/j.ijmecsci.2009.09.026
5. HS Shen ZX Wang 2010 Nonlinear bending of FGM plates subjected to combined loading and resting on elastic foundations Compos Struct 92 2517 2524 10.1016/j.compstruct.2010.02.010
6. AH Sofiyev 2010 The buckling of FGM truncated conical shells subjected to axial compressive load and resting on Winkler-Pasternak foundations Int J Press Vessels Piping 87 753 761 10.1016/j.ijpvp.2010.08.012
7. AH Sofiyev 2010 Buckling analysis of FGM circular shells under combined loads and resting on the Pasternak type elastic foundation Mech Res Commun 37 539 544 10.1016/j.mechrescom.2010.07.019
8. P Malekzadeh MR Golbahar Haghighi MM Atashi 2010 Free vibration analysis of elastically supported functionally graded annular plates subjected to thermal environment Meccanica 10.1007/s11012-010-9345-5
9. J Navin NF Knight DR Ambur 1995 Buckling of arbitrary quadrilateral anisotropic plates AIAA J 33 938 944 10.2514/3.12512 0838.73033 1995AIAAJ..33..938J
10. MM Saadatpour M Azhari MA Bradford 1998 Buckling of arbitrary quadrilateral plates with intermediate supports using the Galerkin method Comput Methods Appl Mech Eng 164 297 306 10.1016/S0045-7825(98)00030-9 0960.74079 1998CMAME.164..297S
11. L Wu W Feng 2003 Differential cubature method for buckling analysis of arbitrary quadrilateral thick plates Struct Eng Mech 16 259 274
12. G Karami SA Shahpari P Malekzadeh 2003 DQM analysis of skewed and trapezoidal laminated plates Compos Struct 59 393 402 10.1016/S0263-8223(02) 00188-5 (Pubitemid 41167839)
13. Birman V (1995) Buckling of functionally graded hybrid composite plates. In: Proceedings of the 10th conference on engineering mechanics, vol 2, pp 1199-1292
14. E Feldman J Aboudi 1997 Buckling analysis of functionally graded plates subjected to uniaxial loading Compos Struct 38 29 36 10.1016/S0263-8223(97) 00038-X (Pubitemid 28058394)
15. J Yang HS Shen 2003 Non-linear analysis of functionally graded plates under transverse and in-plane loads Int J Non-Linear Mech 38 467 482 10.1016/S0020-7462(01)00070-1
16. J Woo SA Merguid JC Stranart KM Liew 2005 Thermomechanical postbuckling analysis of moderately thick functionally graded plates and shallow shells Int J Mech Sci 47 1147 1171 10.1016/j.ijmecsci.2005.04.008 1192.74138 (Pubitemid 40788897)
17. H Matsunaga 2008 Free vibration and stability of functionally graded plates according to 2-D higher-order deformation theory Compos Struct 82 499 512 10.1016/j.compstruct.2007.01.030 (Pubitemid 47543561)
18. X Zhao YY Lee KM Liew 2009 Mechanical and thermal buckling analysis of functionally graded plates Compos Struct 90 161 171 10.1016/j.compstruct.2009. 03.005
19. F Tornabene E Viola 2009 Free vibration analysis of functionally graded panels and shells of revolution Meccanica 44 255 281 10.1007/s11012-008-9167-x
20. CW Bert M Malik 1996 Differential quadrature method in computational mechanics: a review Appl Mech Rev 49 1 27 10.1115/1.3101882 1996ApMRv..49....1B (Pubitemid 126614778)
21. Brush DO, Almroth BO (1975) Buckling of bars, plates, and shells. McGraw-Hill, New York
22. Xiang Y (1993) Numerical developments in solving the buckling and vibration of Mindlin plates. PhD thesis, The University of Queensland, Australia
23. KY Lam CM Wang XQ He 2000 Canonical exact solution for Levy-plates on two parameter foundation using Green's functions Eng Struct 22 364 378 10.1016/S0141-0296(98)00116-3 (Pubitemid 30000080)
24. C Shu BE Richards 1992 Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations Int J Numer Methods Fluids 15 791 798 10.1002/fld.1650150704 0762.76085 (Pubitemid 23557497)
25. E Efraim M Eisenberger 2007 Exact vibration analysis of variable thickness thick annular isotropic and FGM plates J Sound Vib 299 720 738 10.1016/j.jsv.2006.06.068 2007JSV...299..720E (Pubitemid 44692287)