Local point interpolation method for stress analysis of two-dimensional solids

Structural Engineering and Mechanics

Volumn 11, Issue 2, 2001, Pages 221-236

  Liu, G R ^a   Gu, Y T ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; ELASTICITY; FINITE ELEMENT METHOD; INTERPOLATION; STRESS ANALYSIS;

LOCAL POINT INTERPOLATION METHOD; MESHLESS METHOD; TWO DIMENSIONAL SOLIDS;

SOLIDS;

EID: 0035251898     PISSN: 12254568     EISSN: None     Source Type: Journal    
DOI: 10.12989/sem.2001.11.2.221     Document Type: Article

References (20)

1. Atluri, S.N., Kim, H.G. and Cho J.Y. (1999), "A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods", Computational Mechanics, 24, 348-372.
2. Atluri, S.N. and Zhu, T. (1998), "A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics", Computational Mechanics, 22, 117-127.
3. Atluri, S.N. and Zhu, T. (2000), "New concepts in meshless methods", Computational Mechanics, 22, 117-127.
4. Belytschko, T., Lu, Y.Y. and Gu, L. (1994), "Element-free Galerkin methods", Int. J. Numer. Methods Engrg., 37, 229-256.
5. Belytschko, T. and Organ, D. (1995), "Coupled finite element-element-free Galerkin method", Computational Mechanics, 17, 186-195.
6. Dolbow, J. and Belytschko, T. (1999), "Numerical itegration of the Galerkin weak form in meshfree methods", Computational Mechanics, 23, 219-230.
7. Gu, Y.T. and Liu, G.R. (2000a), "A coupled element free Galerkin/boundary element method for stress analysis of two-dimensional solids", Computer Methods Appl. Mech. Engrg (in press).
8. Gu, Y.T. and Liu, G.R. (2000b), "A boundary point interpolation method for stress analysis of solids", Computational Mechanics (in press).
9. Hegen, D. (1996), "Element-free Galerkin methods in combination with finite element approaches", Computer. Methods Appl. Mech. Engrg., 135, 143-166.
10. Kothnur, V.S., Mukherjee, S. and Mukherjee, Y.X. (1999), "Two-dimensional linear elasticity by the boundary node method", Int. J. Solids Structures, 36, 1129-1147.
11. Liu, G.R. (1999), "A point assembly method for stress analysis of solids", Impact Response of Materials and Structures, Ed. by Shim, V.P.W., Oxford, 475-480.
12. Liu, G.R. and Gu, Y.T. (1999), "A point interpolation method", Proceedings of the Fourth Asia-Pacific Conference on Computational Mechanics, Singapore, 1009-1014.
13. Liu, G.R. and Gu, Y.T. (2000a), "Coupling element free Galerkin and hybrid boundary element methods using modified variational formulation", Computational Mechanics, 26, 166-173.
14. Liu, G.R. and Gu, Y.T. (2000b), "Coupling of element free Galerkin method with boundary point interpolation method", Proceedings of Advances in Computational Engineering and Science, Los Angeles, 1427-1432.
15. Liu, G.R. and Yan, L. (1999), "A study on numerical integration in element free methods", Proceedings of the Fourth Asia-Pacific Conference on Computational Mechanics, Singapore, 979-984.
16. Liu, G.R. and Yan, L. (2000), "A modified meshless local Petrov-Galerkin method for solids mechanics", Proceedings of Advances in Computational Engineering and Science, Los Angeles, 1374-1379.
17. Liu, G.R. Yang, K.Y. and Wang, J.G. (2000), "A constraint moving least squares method in meshless methods", (submitted).
18. Liu, W.K., Jun, S. and Zhang, Y.F. (1995), "Reproducing kernel particle methods", Int. J. Numer. Methods Engrg., 20, 1081-1106.
19. Nayroles, B., Touzot, G. and Villon, P. (1992), "Generalizing the finite element method: diffuse approximation and diffuse elements", Computational Mechanics, 10, 307-318.
20. Timoshenko, S.P. and Goodier, J.N. (1970), Theory of Elasticity, 3rd Ed., McGraw-Hill, New York.