A meshfree radial point interpolation method for analysis of functionally graded material (FGM) plates

Computational Mechanics

Volumn 34, Issue 3, 2004, Pages 213-223

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

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Functionally graded material (FGM); Meshfree method; Plate; Radial basis function

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; INTERPOLATION; MATHEMATICAL MODELS; OPTIMIZATION; PROBLEM SOLVING; RADIAL BASIS FUNCTION NETWORKS; THERMAL STRESS;

FUNCTIONALLY GRADED MATERIALS (FGM); MESHFREE METHOD; SOLID MECHANICS;

PLATES (STRUCTURAL COMPONENTS);

EID: 5444221867     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-004-0566-0     Document Type: Article

References (29)

1. Atluri SN, Zhu T (1998) A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Comput. Mech. 22: 117-127
2. Belytschko T, Lu YY, Gu L (1994) Element-free Galerkin methods. Int. J. Numer. Meth. Engrg. 37: 229-256
3. Dai KY, Liu GR, Lim KY (2002) A radial point interpolation method for static and free vibration analysis of shear-deformable thick laminated composite plates. In: Sun CT et al. (eds), Proc. Ame. Soc. Compos, 17th Technical Conference. West Lafayette, IN
4. Lam KY, Peng XQ, Liu GR, Reddy JN (1997) A finite-element model for piezoelectric composite laminates. Smart Mater. Struct. 6: 583-591
5. Liu GR (2002) Mesh free methods: moving beyond the finite element method. CRC Press, New York
6. Liu GR, Dai KY, Lim KM, Gu YT (2002) A point interpolation meshfree method for static and frequency analysis of two-dimensional piezoelectric structures Comput. Mech. 29(6): 510-519
7. Liu GR, Gu YT (2001a) A point interpolation method for two dimensional solids. Int. J. Numer. Meth. Engrg. 50: 937-951
8. Liu GR, Gu YT (2001b) A local point interpolation method for stress analysis of two-dimensional solids. Struct. Engng. Mech. 11(2): 221-236
9. Liu GR, Peng XQ, Lam KY, Tani J (1999) Vibration control simulation of laminated composite plates with integrated piezoelectrics. J. Sound Vib. 220(5): 827-846
10. Liu GR, Tani J (1991) 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. 57(A)(541): 2122-2133
11. Liu GR, Tani J (1994) Surface waves in functionally gradient piezoelectric plates. Transact. ASME. 116: 440-448
12. Liu GR, Tani J, Ohyoshi T (1990) Lamb wave propagation in anisotropic functionally gradient material plates. In: Yamanouchi et al. (eds), First international symposium on functionally gradient materials. Sendai, Japan
13. Liu GR, Tani J, Ohyoshi, T (1991) 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): 603-611
14. Lucy L (1977) A numerical approach to testing the fission hypothesis. Astron. J. 82: 1013-1024
15. Obata. Y, Nosa N (1993) Transient thermal stresses in a plate of functionally gradient material. Ceramic Transactions, Funct. Grad. Mater. 34: 403-410
16. Obata Y, Nosa N (1996) Optimum material design for functionally gradient material plate. Arch. Appl. Mech. 66: 581-589
17. Ochoa OO, Reddy JN (1992) Finite element analysis of composite laminates. Kluwer, Netherlands
18. Peng XQ, Lam KY, Liu GR (1998) Active vibration control of composite beams with piezoelectrics: a finite element model with third order theory. J. Sound Vib. 209(4): 635-650
19. Powell MJD (1992) The theory of radial basis function approximation in 1990. In: Will Light (ed) Advances in numerical analysis, vol. II, Oxford University Press, Oxford
20. Praveen GN, Reddy JN (1998) Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates. Inter. J. Solids Struct. 35: 4457-4476
21. Reddy JN (1997) Mechanics of laminated composite plates theory and analysis. CRC press, New York, NJ
22. Reddy JN (2000) Analysis of functionally graded plates. Int. J. Numer. Meth. Engrg. 47: 663-684
23. Sasaki M, Wang Y, Hirano T, Hirai T (1989) Design of SiC/C functionally gradient material and its propagation by chemical vapor deposition. J. Ceramic Society of Japna (in Japanese) 97 (5): 539-543
24. Schaback R, Wendland H (2002) Characterization and construction of radial basis functions. In: Dyn N, Leviatan D, Levin D, Pinkus A (eds) Multivariate approximation and applications, Cambridge University Press, Cambridge
25. Wang JG, Liu GR (2002a) A point interpolation meshless method based on radial basis functions. Int. J. Numer. Meth. Engrg. 54: 1623-1648
26. Wang JG, Liu GR (2002b) On the optimal shape parameters of radial basis functions used for 2-D meshless method. Comput. Methods Appl. Mech. Engrg. 191: 2611-2630
27. Wang JG, Liu GR, Lin P (2001) Numerical analysis of Biot's consolidation process by radial point interpolation method. Int. J. Solids Struct. 39(6): 1557-1573
28. Watanabe R, Kawasaki A (1990) Overall view of the P/M fabrication of functionally gradient materials. In: Yamanouchi et al (eds) First international symposium on functionally gradient materials, Sendai, Japan, pp107-113
29. Yamanouchi M, Hirai T, Shiota I (1990) Overall view of the P/M fabrication of functionally gradient materials. In: Yamanouchi et al. (eds), Proceedings of first international symposium on functionally gradient materials, Sendai, Japan, pp. 59-64