Nonlinear bending analysis of annular FGM plates using higher-order shear deformation plate theories

Composite Structures

Volumn 93, Issue 2, 2011, Pages 973-982

  Golmakani, M E ^a   Kadkhodayan, M ^a  

^a FERDOWSI UNIVERSITY OF MASHHAD   (Iran)

Author keywords

Annular plate; DR method; FGM; Nonlinear bending

Indexed keywords

ANNULAR PLATE; AXISYMMETRIC; DISCRETIZED EQUATIONS; DR METHOD; DYNAMIC RELAXATION METHOD; FGM; FINITE-DIFFERENCE TECHNIQUES; FUNCTIONALLY GRADED PLATES; HIGHER-ORDER SHEAR DEFORMATION PLATE THEORY; KARMAN THEORY; MATERIAL CONSTANT; MECHANICAL LOADING; NON-LINEAR BENDING; RADIUS RATIO;

BENDING (DEFORMATION); BOUNDARY CONDITIONS; SHEAR DEFORMATION; SHEAR FLOW;

NONLINEAR EQUATIONS;

EID: 79951512355     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2010.06.024     Document Type: Article

References (27)

1. Yamanouchi M, Koizumi M, Hirai T, Shiota I. In: Proceeding of the first international symposium on functionally gradient materials, Sendai, Japan; 1990.
2. Alinia M.M., GhannadPour S.A.M. Nonlinear analysis of pressure loaded FGM plates. Compos Struct 2009, 88:354-359.
3. 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.
4. Navazi H.M., Haddadpour H. Nonlinear cylindrical bending analysis of shear deformable functionally graded plates under different loadings using analytical methods. Int J Mech Sci 2008, 50:1650-1657.
5. Praveen G.N., Reddy J.N. Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates. Int J Solids Struct 1998, 35:4457-4476.
6. 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.
7. Wang C.M., Reddy J.N., Lee K.H. Shear deformable beams and plates, relationships with classical solutions 2000, Elsevier, UK.
8. Ma L.S., Wang T.J. Relationships between axisymmetric bending and buckling solutions of FGM circular plates based on third-order plate theory and classical plate theory. Int J Solids Struct 2004, 41:85-101.
9. Saidi A.R., Rasouli A., Sahraee S. Axisymmetric bending and buckling analysis of thick functionally graded circular plates using unconstrained third-order shear deformation plate theory. Compos Struct 2009, 89:110-119.
10. Reddy J.N. Analysis of functionally graded plates. Int J Numer Methods Eng 2000, 47:663-684.
11. 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.
12. Sarfaraz Khabbaz R., Dehghan Manshadi B., Abedian A. Nonlinear analysis of FGM plates under pressure loads using the higher-order shear deformation theories. Compos Struct 2009, 89:333-344.
13. Mori T., Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall 1973, 21:571-574.
14. Ferreira A.J.M., Batra R.C., Roque C.M.C., Qian L.F., Martins P.A.L.S. Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method. Compos Struct 2005, 69:449-457.
15. Reddy J.N. A simple higher-order theory for laminated composite plates. Trans ASME, J Appl Mech 1984, 51:745-752.
16. Reddy J.N. Mechanics of laminated composite plates, theory and analysis 1997, CRC, Boca Raton.
17. Day A.S. An introduction to dynamic relaxation. The Engineer 1965, 219:218-221.
18. Otter J.R.H., Cassell A.C., Hobbs R.E. Dynamic relaxation. Proc Inst Civil Eng 1966, 35(4):633-656.
19. Rezaiee-Pajand M., Alamatian J. Nonlinear dynamic analysis by dynamic relaxation method. J Struct Eng Mech 2008, 28:549-570.
20. Rezaiee-Pajand M., Alamatian J. The dynamic relaxation method using new formulation for fictitious mass and damping. Struct Eng Mech 2010, 34(1):109-133.
21. Kadkhodayan M., Alamatian J., Turvey G.J. A new fictitious time for the dynamic relaxation (DXDR) method. Int J Numer Methods Eng 2008, 74:996-1018.
22. Salehi M., Aghaei H. Dynamic relaxation large deflection analysis of non-axisymmetric circular viscoelastic plates. Comput Struct 2005, 83:1878-1890.
23. Kadkhodayan M., Zhang L.C., Sowerby R. Analysis of wrinkling and buckling of elastic plates by DXDR method. Comput Struct 1997, 65:561-574.
24. Turvey G.J., Salehi M. Elasto-plastic large deflection response of pressure loaded circular plates stiffened by a single diametral stiffener. Thin-Walled Struct 2008, 46:991-1002.
25. Salehi M., Sobhani A.R. Elastic linear and non-linear analysis of fiber-reinforced symmetrically laminated sector Mindlin plate. Compos Struct 2004, 65:65-79.
26. Zhang L.C., Kadkhodayan M., Mai Y.-W. Development of the maDR method. Comput Struct 1994, 52:1-8.
27. Zhang L.C., Yu T.X. Modified adaptive dynamic relaxation method and application to elastic-plastic bending and wrinkling of circular plate. Comput Struct 1989, 33:609-614.