Dual reciprocity hybrid boundary node method for 2-D elasticity with body force

Engineering Analysis with Boundary Elements

Volumn 32, Issue 9, 2008, Pages 713-725

  Yan, F ^a   Wang, Y H ^a   Tham, L G ^b   Cheung, Y K ^b  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Body force; Dual reciprocity method; Fundamental solution; Hybrid boundary node method; Particular solution; Radial basis function

Indexed keywords

ATTITUDE CONTROL; CONVERGENCE OF NUMERICAL METHODS; CURVE FITTING; ELASTICITY; FEEDFORWARD NEURAL NETWORKS; FUNCTION EVALUATION; IMAGE SEGMENTATION; INTERPOLATION; LEAST SQUARES APPROXIMATIONS; MESH GENERATION; NUMERICAL ANALYSIS; NUMERICAL METHODS; PARAMETER ESTIMATION; PARTIAL DIFFERENTIAL EQUATIONS; RADIAL BASIS FUNCTION NETWORKS; SOLUTIONS;

APPLIED (CO); BODY FORCES; BOUNDARY ELEMENT METHOD (BEM); BOUNDARY ELEMENTS; BOUNDARY VARIABLES; CENTRIFUGAL LOADS; COMPUTATIONAL RESULTS; DISCRETE EQUATIONS; DOMAIN VARIABLES; DUAL RECIPROCITY; DUAL RECIPROCITY METHOD (DRM); ELASTIC PROBLEMS; ELASTICITY PROBLEMS; ELSEVIER (CO); FAST CONVERGENCE; FUNDAMENTAL SOLUTIONS; GENERAL SOLUTIONS; HYBRID BOUNDARY NODE METHOD (HYBRID BNM); INERTIAL FORCES; MESHLESS METHOD (MM); MOVING LEAST-SQUARES (MLS); NON-HOMOGENEOUS; NUMERICAL EXAMPLES; PARTICULAR SOLUTIONS; PRACTICAL PROBLEMS; PRESENT METHOD; RADIAL-BASIS FUNCTION (RBF); SPECIAL TREATMENTS; VARIABLE PARAMETERS; VARIATIONAL FORMULATIONS;

BOUNDARY ELEMENT METHOD;

EID: 47049102854     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2007.11.013     Document Type: Article

References (30)

1. Liu G.R. Mesh free method-moving beyond the finite element method (2003), CRC Press, New York
2. Belytschko T., Krongauz Y., Organ D., Fleming M., and Krysl P. Meshless method: an overview and recent developments. Comput Methods Appl Mech Eng 139 (1996) 3-47
3. Nayroles B., Touzot G., and Villon P. Generalizing the finite element method: diffuse approximation and diffuse element. Comput Mech 10 (1992) 307-318
4. Belytschko T., Lu Y.Y., and Gu L. Element-free Galerkin methods. Int J Num Methods Eng 137 (1994) 229-256
5. Liu G.R., and Gu Y.T. A local point interpolation method for stress analysis of two-dimensional solids. Struct Eng Mech 11 2 (2001) 221-236
6. Atluri S.N., and Zhu T. A new meshless local Petrov-Galerkin approach in computational mechanics. Comput Mech 22 (1998) 117-127
7. Gu Y.T., and Liu G.R. A coupled element free Galerkin/boundary element method for stress analysis of two-dimensional solids. Comput Methods Appl Mech Eng 190 (2001) 4405-4419
8. Zhu T. A new meshless regular local boundary integral boundary integral equation approach. Int J Num Methods Eng 146 (1999) 1237-1252
9. Zhu T., Zhang J., and Atluri S.N. A meshless numerical method based on the local boundary integral equation (LBIE) to solve linear and non-linear boundary value problems. Eng Anal Boundary Elem 23 (1999) 375-389
10. Atluri S.N., and Sladek J. The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity. Comput Mech 25 (2000) 180-198
11. Sladek V., Sladek J., Atluri S.N., and Van Keer R. Numerical integration of singularities in meshless implementation of local boundary integral equations. Comput Mech 25 (2000) 394-403
12. Liew K.M., Yumin C., and Kitipornchai S. Boundary element-free method (BEFM) and its application to two-dimensional elasticity problems. Int J Num Methods Eng 65 8 (2006) 1310-1332
13. Yumin C., and Miaojuan P. Boundary element-free method for elastodynamics. Sci China Ser G Phys Mech Astron 48 6 (2005) 641-657
14. Liew K.M., Yumin C., and Kitipornchai S. Boundary element-free method (BEFM) for two-dimensional elastodynamic analysis using Laplace transform. Int J Num Methods Eng 64 12 (2005) 1610-1627
15. Liew K.M., Yumin C., and Kitipornchai S. Analyzing the 2D fracture problems via the enriched boundary element-free method. Int J Solids Struct 44 (2007) 4220-4233
16. Mukherjee Y.X., and Mukherjee S. The boundary node method for potential problems. Int J Num Methods Eng 140 (1994) 797-815
17. Liu GR, Gu YT. On formulation and application of local point interpolation methods for computational mechanics. In: Proceeding of the first Asia-Pacific congress on computational mechanics, 20-23 November 2001, Sydney, Australia. p. 97-106.
18. Mukherjee Y.X., and Mukherjee S. The boundary node method for potential problems. Int J Num Methods Eng 40 (1997) 797-815
19. Zhang J.M., Yao Z.H., and Li H. A hybrid boundary node method. Int J Num Methods Eng 53 (2002) 751-763
20. Zhang J.M., Yao Z.H., and Masataka T. The meshless regular hybrid boundary node method for 2-D linear elasticity. Eng Anal Boundary Elem 127 (2003) 259-268
21. Zhang J.M., and Yao Z.H. The regular hybrid boundary node method for three-dimensional linear elasticity. Eng Anal Boundary Elem 28 (2004) 525-534
22. Zhang J.M., Masataka T., and Toshiro M. Meshless analysis of potential problems in three dimensions with the hybrid boundary node method. Int J Num Methods Eng 59 (2004) 1147-1168
23. Zhang J.M., and Yao Z.H. Meshless regular hybrid boundary node method. Comput Model Eng Sci 2 (2001) 307-318
24. Miao Y., Wang Y.H., and Yu F. Development of hybrid boundary node method in two-dimensional elasticity. Eng Anal Boundary Elem 29 (2005) 703-712
25. Nardini D, Brebbia CA. A new approach to free vibration analysis using boundary elements. In: Boundary element methods in engineering. Southampton: Computational Mechanics Publications, Berlin and New York: Springer; 1982.
26. Nardini D, Brebbia CA. Transient dynamic analysis by the boundary element method. In: Boundary element methods in engineering. Southampton: Computational Mechanics Publications, Berlin and New York: Springer; 1983.
27. Wrobel L.C., and Brebbia C.A. The dual reciprocity boundary element formulation for non-linear diffusion problems. Comput Methods Appl Mech Eng 65 2 (1987) 147-164
28. Kothnur V.S., Mukherjee S., and Mukherjee Y.X. Two-dimensional linear elasticity by the boundary node method. Int J Solids Struct 36 (1999) 1129-1147
29. Perez-Gavilan J.J., and Aliabadi M.H. A symmetric Galerkin formulation and dual reciprocity for 2D elastostatics. Eng Anal Boundary Elem 25 (2001) 229-235
30. Medeiros G.C., Partridge P.W., and Brandao J.O. The method of fundamental solutions with dual reciprocity for some problems in elasticity. Eng Anal Boundary Elem 28 (2004) 453-461