The traction boundary contour method for linear elasticity

Citation
Sj. Zhou et al., The traction boundary contour method for linear elasticity, INT J NUM M, 46(11), 1999, pp. 1883-1895
Citations number
20
Categorie Soggetti
Engineering Mathematics
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
ISSN journal
00295981 → ACNP
Volume
46
Issue
11
Year of publication
1999
Pages
1883 - 1895
Database
ISI
SICI code
0029-5981(199912)46:11<1883:TTBCMF>2.0.ZU;2-V
Abstract
This paper-presents a further development of the boundary contour method. T he boundary contour method is extended to cover the traction boundary integ ral equation. A traction boundary contour method is proposed for linear ela stostatics. The formulation of traction boundary contour method is regular for points except the ends of the boundary element and corners. The present approach only requires line integrals for three-dimensional problems and f unction evaluations at the ends of boundary elements for two-dimensional ca ses. The implementation of the traction boundary contour method with quadra tic boundary elements is presented for two-dimensional problems. Numerical results are given for some two-dimensional examples, and these are compared with analytical solutions. This method is shown to give excellent results for illustrative examples. Copyright (C) 1999 John Whey & Sons, Ltd.