A meshless local natural neighbour interpolation method for stress analysis of solids

Engineering Analysis with Boundary Elements

Volumn 28, Issue 6, 2004, Pages 607-613

  Yongchang, Cai ^a   Hehua, Zhu ^a  

^a TONGJI UNIVERSITY   (China)

Author keywords

Delaunay triangulation; Local Petrov Galerkin method; Meshless; Natural neighbour interpolation; Nature element

Indexed keywords

BOUNDARY ELEMENT METHOD; CANTILEVER BEAMS; FINITE ELEMENT METHOD; FUNCTIONS; GALERKIN METHODS; HYDRODYNAMICS; INTERPOLATION; STRESS ANALYSIS; TRIANGULATION;

DELAUNAY TRIANGULATION; LOCAL PETROV-GALERKIN METHODS; MESHLESS; NATURAL NEIGHBOUR INTERPOLATION; NATURE ELEMENTS;

SOLIDS;

EID: 2342564947     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2003.10.001     Document Type: Article

References (13)

1. Belytschko T., Lu Y.Y., Gu L. Element-free Galerkin method. Int J Numer Meth Engng. 37:1994;229-256.
2. Belytschko T., Krongauz Y., Organ D. Meshless methods: an overview and recent developments. Comput Meth Appl Mech Engng. 139:1996;3-47.
3. Nagashima T. Node-by-node meshless approach and its applications to structural analyses. Int J Numer Meth Engng. 46:1999;341-385.
4. Zhu T., Zhang J., Atluri S. A new meshless local boundary integral equation method in computational mechanics. Comput Mech. 21:1998;223-235.
5. Zhu T. A new meshless regular local boundary integral equation approach. Int J Numer Meth Engng. 46:1999;1237-1252.
6. Atluri S.N., Zhu T.L. A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Comput Mech. 22:(2):1998;117-127.
7. Long S.Y., Zhang Q. Analysis of thin plates by the local boundary integral equation (LBIE) method. Engng Anal Bound Elem. 26:(10):2002;889-896.
8. Long S.Y. A research on the companion solution for a thin plate in the meshless local boundary integral equation method. Engng Anal Bound Elem. 26:(6):2002;505-509.
9. Braun J., Sambridge M. A numerical method for solving partial differential equations on highly irregular evolving grids. Nature. 376:1995;655-660.
10. Sukumar N., Moran B., Belytschko T. The natural element method in solid mechanics. Int J Numer Meth Engng. 43:1998;839-887.
11. Cueto E., Doblare M., Gracia L. Imposing essential boundary conditions in the natural element method by means of density-scaled α-shapes. Int J Numer Meth Engng. 49:2000;519-546.
12. Sukumar N. The natural element method in solid mechanics. PhD Dissertation. Northwestern University, Evanston, Illinois; 1998.
13. Watson D.F., Philip G.M. Neighborhood-based interpolation. Geobyte. 2:1987;12-16.