Mechanical and thermal buckling analysis of functionally graded plates

Composite Structures

Volumn 90, Issue 2, 2009, Pages 161-171

  Zhao, X ^a   Lee, Y Y ^a   Liew, K M ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Element free Ritz method; Functionally graded materials; Functionally graded plates; Thermal and buckling analysis

Indexed keywords

ARBITRARY GEOMETRIES; BENDING STIFFNESS; BUCKLING STRENGTHS; CIRCULAR HOLES; DISPLACEMENT FIELDS; ELEMENT-FREE RITZ METHOD; FIRST-ORDER SHEAR DEFORMATIONS; FUNCTIONALLY GRADED; FUNCTIONALLY GRADED PLATES; HOLE GEOMETRIES; HOLE SIZES; INTEGRATION METHODS; INTEGRATION TECHNIQUES; MATERIAL PROPERTIES; MESH-FREE; SHEAR LOCKING EFFECTS; THERMAL AND BUCKLING ANALYSIS; THERMAL BUCKLING; THIN PLATES;

BUCKLING; COMPUTATIONAL MECHANICS; CRACK INITIATION; PLATES (STRUCTURAL COMPONENTS);

FUNCTIONALLY GRADED MATERIALS;

BENDING; BUCKLING; DEFORMATION; MECHANICAL PROPERTY; STIFFNESS; STRUCTURAL PROPERTY;

EID: 67349258477     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2009.03.005     Document Type: Article

References (40)

1. Noda N. Thermal stresses in materials with temperature-dependent properties. Appl Mech Rev 44 (1991) 383-397
2. Reddy J.N., and Chin C.D. Thermomechanical analysis of functionally graded cylinders and plates. J Therm Stresses 21 (1998) 593-626
3. He X.Q., Ng T.Y., Sivashanker S., and Liew K.M. Active control of FGM plates with integrated piezoelectric sensors and actuators. Int J Solids Struct 38 (2001) 1641-1655
4. Liew K.M., He X.Q., Ng T.Y., and Kitipornchai S. Finite element piezothermoelasticity analysis and the active control of FGM plates with integrated piezoelectric sensors and actuators. Comput Mech 31 (2003) 350-358
5. Reddy J.N. Analysis of functionally graded plates. Int J Numer Meth Eng 47 (2000) 663-684
6. Efraim E., and Eisenberger M. Exact vibration analysis of variable thickness thick annular isotropic and FGM plates. J Sound Vib 299 (2007) 720-738
7. Vel S.S., Batra R.C., and Three-dimensional exact solution for the vibration of functionally graded rectangular p. J Sound Vib 272 (2004) 703-730
8. Feldman E., and Aboudi J. Buckling analysis of functionally graded plates subjected to uniaxial loading. Compos Struct 38 (1997) 29-36
9. Birman V. Buckling of functionally graded hybrid composite plates. In: Proceedings of the 10th conference on engineering mechanics, vol. 2; 1995. p. 1199-292.
10. Javaheri R., and Eslami M.R. Thermal buckling of functionally graded plates based on higher order theory. J Therm Stresses 25 (2002) 603-625
11. Liew K.M., Yang J., and Kitipornchai S. Postbuckling of piezoelectric FGM plates subject to thermo-electro-mechanical loading. Int J Solids Struct 40 (2003) 3869-3892
12. Liew K.M., Yang J., and Kitipornchai S. Thermal post-buckling of laminated plates comprising FGM with temperature-dependent properties. Trans ASME, J Appl Mech 71 (2004) 839-850
13. Yang J., and Shen H.S. Non-linear analysis of functionally graded plates under transverse and in-plane loads. Int J Non-Linear Mech 38 (2003) 467-482
14. Woo J., Merguid S.A., Stranart J.C., and Liew K.M. Thermomechanical postbuckling analysis of moderately thick functionally graded plates and shallow shells. Int J Mech Sci 47 (2005) 1147-1171
15. Krysl P., and Belytschko T. Analysis of thin shells by the element-free Galerkin method. Int J Numer Meth Eng 33 (1996) 3057-3080
16. Li S., Hao W., and Liu W.K. Numerical simulations of large deformation of thin shell structures using meshfree method. Comput Mech 25 (2000) 102-116
17. Chen J.S., Pan C., Wu C.T., and Liu W.K. Reproducing kernel particle methods for large deformation analysis of nonlinear structures. Comput Meth Appl Mech Eng 139 (1996) 237-262
18. Gilhooley D.F., Batra R.C., Xiao J.R., McCarthy M.A., and Gillespie Jr. J.W. Analysis of thick functionally graded plates by using higher-order shear and normal deformable plate theory and MLPG method with radial basis functions. Compos Struct 80 (2007) 539-552
19. Qian L.F., and Batra R.C. Transient thermoelastic deformations of a thick functionally graded plate. J Therm Stresses 27 (2004) 705-740
20. Dai K.Y., Liu G.R., Lim K.M., Han X., and Du S.Y. A meshfree radial point interpolation method for analysis of functionally graded material (FGM) plates. Computat Mech 34 (2004) 213-223
21. Zhao X., Li Q., Liew K.M., and Ng T.Y. The element-free kp-Ritz method for vibration analysis of conical shell panels. J Sound Vib 295 (2006) 906-922
22. Zhao X., Yang Y., and Liew K.M. Geometrically nonlinear analysis of cylindrical shells using the element-free kp-Ritz method. Eng Anal Bound Elem 31 (2007) 783-792
23. Liew K.M., Hu Y.G., Zhao X., and Ng T.Y. Dynamic stability analysis of composite laminated cylindrical shells via the mesh-free kp-Ritz method. Comput Meth Appl Mech Eng 196 (2006) 147-160
24. Liew K.M., Lee Y.Y., Ng T.Y., and Zhao X. Dynamic stability analysis of composite laminated cylindrical panels via the mesh-free kp-Ritz method. Int J Mech Sci 49 (2007) 1156-1165
25. Touloukian Y.S. Properties of high temperature solid materials (1967), McMillan, New York
26. Reddy J.N. Mechanics of laminated composite plates and shells: theory and analysis. 2nd ed. (2004), CRC Press, Boca Raton, FL
27. Liu W.K., Jun S., and Zhan Y.F. Reproducing kernel particle methods. Int J Numer Meth Eng 20 (1995) 1081-1106
28. Belytschko T., Lu Y.Y., and Gu L. Element-free Galerkin method. Int J Numer Meth Eng 20 (1995) 1081-1106
29. Chen J.S., Wu C.T., Yoon S., and You Y. A stabilized conforming nodal integration for Galerkin mesh-free methods. Int J Numer Meth Eng 50 (2001) 435-466
30. Chen J.S., and Wang D.D. Locking-free stabilized conforming nodal integration for meshfree Mindlin-Reisner plate formulation. Comput Meth Appl Mech Eng 193 (2004) 1065-1083
31. Liu G.R., Li Y., Dai K.Y., Luan M.T., and Xue W. A linearly conforming RPIM for solids mechanics problems. Int J Comput Meth 3 (2006) 401-428
32. Kim N.H., Choi K.K., Chen J.S., and Botkin M.E. Mesh-free analysis and design sensitivity analysis for shell structures. Int J Numer Meth Eng 53 9 (2002) 2087-2116
33. Timoshenko S., and Gere J. Theory of elastic stability. 2nd ed. (1961), McGraw-Hill, New York
34. Ritchie D., and Rhodes J. Buckling and postbuckling behaviour of plates with holes. Aeronaut Quart 26 (1974) 281-296
35. Kaiwai T, Ohtsubo H. A method of solution for the complicated buckling problems of elastic plates with combined use of Rayleigh-Ritz procedure in the finite element method. In: Proceedings of the second conference matrix methods in structural mechanics, AFFDL-TR-68-150, NASA; 1968. p. 967-94.
36. Robot V6 ver2.00. User's manual. Cracow-Greboble: Robobat; 1994.
37. Czmochowski J. Buckling analysis of sandwich plates by the finite element method. D. Th., Inst. construction and machine exploitation. Wroclaw Technology University, Preprint No 006/83, Wroclaw; 1983 [in Polish].
38. Waszczyszyn Z., Cichoń C., and Radwańska M. Stability of structures by finite element methods (1994), Elsevier, Amsterdam
39. Noor A.K., and Burton W.S. Three-dimensional solutions for the thermal buckling and sensitivity derivatives of temperature-sensitive multilayered angle-ply plates. Trans ASME, J Appl Mech 59 (1992) 848-856
40. Matsunaga H. Thermal buckling of cross-ply laminated composite and sandwich plates according to a global higher-order deformation theory. Compos Struct 68 (2005) 439-454