Thermomechanical analysis of functionally graded material (FGM) plates using element-free Galerkin method

Computers and Structures

Volumn 83, Issue 17-18, 2005, Pages 1487-1502

  Dai, K Y ^a   Liu, G R ^a   Han, X ^a   Lim, K M ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Active control; Element free Galerkin method; First order shear deformation theory (FSDT); Functionally graded material (FGM); Thermomechanical coupling

Indexed keywords

ALGORITHMS; CLOSED LOOP CONTROL SYSTEMS; DEFLECTION (STRUCTURES); DYNAMIC RESPONSE; FEEDBACK CONTROL; GALERKIN METHODS; MATHEMATICAL MODELS; PIEZOELECTRIC DEVICES; SHEAR DEFORMATION; STRUCTURAL LOADS; VIBRATIONS (MECHANICAL); VOLUME FRACTION;

ACTIVE CONTROL; ELEMENT-FREE GALERKIN (EGF) METHOD; FIRST ORDER SHEAR DEFORMATION THEORY (FSDT); THERMOMECHANICAL COUPLING;

FUNCTIONALLY GRADED MATERIALS;

EID: 17744376563     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2004.09.020     Document Type: Conference Paper

References (35)

1. Yamanouchi M, Hirai T, Shiota I. In: Yamanouchi et al. editors. Proc First Int Symposium on Functionally Gradient Materials. Sendai, Japan, 1990, pp. 59-64
2. M. Sasaki, Y. Wang, T. Hirano, and T. Hirai Design of SiC/C functionally gradient material and its propagation by chemical vapor deposition J Ceramic Soc Japan (in Japanese) 97 5 1989 539 543
3. Watanabe R, Kawasaki A. Overall view of the P/M fabrication of functionally gradient materials. In: Yamanouchi, et al. editors. Proc First Int Symposium on Functionally Gradient Materials. Sendai, Japan, 1990, pp. 107-13
4. Liu GR, Tani J, Ohyoshi T. Lamb wave propagation in anisotropic functionally gradient material plates. In: Yamanouchi et al. editors. Proc First Int Symposium on Functionally Gradient Materials. Sendai, Japan, 1990
5. G.R. Liu, J. Tani, and T. Ohyoshi Lamb waves in a functionally gradient material plates and its transient response, part 1: theory, part 2: calculation results Trans Japan Soc Mech Eng 57(A) 535 1991 603 611
6. G.R. Liu, and J. Tani Characteristics of wave propagation in functionally gradient piezoelectric material plates and its response analysis, part 1: theory, part 2: calculation results Trans Japan Soc Mech Eng Japan 57(A) 541 1991 2122 2133
7. G.R. Liu, and J. Tani Surface waves in functionally gradient piezoelectric plates Trans ASME 116 1994 440 448
8. Y. Fukui, and N. Yamanaka Elastic analysis for thick-walled tubes of functionally graded material subjected to internal pressure Int J Japan Soc Mech Eng Ser A 35 1992 379 385
9. Y. Obata, N. Nosa, and T. Tsuji Steady thermal stresses in a functionally gradient material plate Trans JSME 58 553 1992 1689 1695
10. Y. Obata, and N. Nosa Transient thermal stresses in a plate of functionally gradient material Ceramic Trans, Funct Grad Mater 34 1993 403 410
11. Y. Obata, and N. Nosa Optimum material design for functionally gradient material plate Arch Appl Mech 66 1996 581 589
12. G.N. Praveen, and J.N. Reddy Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates Int J Solids Struct 35 1998 4457 4476
13. J.N. Reddy Analysis of functionally graded plates Int J Numer Meth Engng 47 2000 663 684
14. X. Han, G.R. Liu, Z.C. Xi, and K.Y. Lam Transient waves in a functionally graded cylinder Int J Solids Struct 38 17 2001 3021 3037
15. X. Han, G.R. Liu, and K.Y. Lam Transient waves in plates of functionally graded material Int J Numer Method Eng 52 2001 851 865
16. H.S. Tzou, and C.I. Tseng Distributed piezoelectric sensor/actuator design for dynamic measurement/control of distributed parameter system: a piezoelectric finite element approach J Sound Vib 138 1990 17 34
17. H.S. Tzou Piezoelectric Shells: Distributed Sensing and Control of Continua 1993 Kluwer Academic Publishers Boston
18. W.S. Hwang, and H.C. Park Finite element modeling of a piezoelectric sensors and actuators AIAA J 31 1993 930 937
19. K.Y. Lam, X.Q. Peng, G.R. Liu, and J.N. Reddy A finite-element model for piezoelectric composite laminates Smart Mater Struct 6 1997 583 591
20. X.Q. Peng, K.Y. Lam, and G.R. Liu Active vibration control of composite beams with piezoelectrics: a finite element model with third order theory J Sound Vib 209 4 1998 635 650
21. G.R. Liu, X.Q. Peng, K.Y. Lam, and J. Tani Vibration control simulation of laminated composite plates with integrated piezoelectrics J Sound Vib 220 5 1999 827 846
22. G.R. Liu Mesh Free Methods: Moving Beyond the Finite Element Method 2002 CRC Press New York
23. G.R. Liu, and M.B. Liu Smooth particle hydrodynamics: a meshfree particle method 2003 World Scientific New Jersey
24. L. Lucy A numerical approach to testing the fission hypothesis Astron J 82 1977 1013 1024
25. T. Belytschko, Y.Y. Lu, and L. Gu Element-free Galerkin methods Int J Numer Meth Engng 37 1994 229 256
26. S.N. Atluri, and T. Zhu A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics Comput Mech 22 1998 117 127
27. G.R. Liu, and Y.T. Gu A point interpolation method for two dimensional solids Int J Numer Methods Eng 50 2001 937 951
28. G.R. Liu, and Y.T. Gu A local point interpolation method for stress analysis of two-dimensional solids Struct Eng Mech 11 2 2001 221 236
29. J.G. Wang, and G.R. Liu A point interpolation meshless method based on radial basis functions Int J Numer Method Eng 54 2002 1623 1648
30. T. Belytschko, L. Gu, and Y.Y. Lu Fracture and crack growth by element free galerkin methods Model Simulat Mater Sci Eng 2 1994 519 534
31. P. Krysl, and T. Belytschko Analysis of thin plates by the element-free galerkin method Comput Mech 17 1995 26 35
32. P. Krysl, and T. Belytschko Analysis of thin shells by the element-free Galerkin method Int J Solids Struct 33 1996 3057 3080
33. G.R. Liu, and X.L. Chen A mesh free method for static and free vibration analysis of thin plates of arbitrary shape J Sound Vib 241 5 2001 839 855
34. O.O. Ochoa, and J.N. Reddy Finite Element analysis of composite laminates 1992 Kluwer Netherlands
35. J.N. Reddy Mechanics of laminated composite plates -Theory and analysis 1997 CRC Press New York