The boundary contour method for two-dimensional linear elasticity with quadratic boundary elements

被引：0
|
作者：
A.-V. Phan
Subrata Mukherjee
J. R. René Mayer
机构：
[1] Department of Mechanical Engineering,
[2] Ecole Polytechnique,undefined
[3] Montréal,undefined
[4] Canada H3C 3A7,undefined
[5] Department of Theoretical and Applied Mechanics,undefined
[6] Cornell University,undefined
[7] Ithaca,undefined
[8] NY 14853,undefined
[9] USA,undefined
[10] Department of Mechanical Engineering,undefined
[11] Ecole Polytechnique,undefined
[12] Montréal,undefined
[13] Canada H3C 3A7,undefined
来源：
Computational Mechanics | 1997年 / 20卷
关键词：
Rigid Body; Boundary Element; Body Motion; Numerical Evaluation; Linear Elasticity;
D O I：
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中图分类号：
学科分类号：
摘要：
This paper presents a further development of the Boundary Contour Method (BCM) for two-dimensional linear elasticity. The new developments are: (a) explicit use of the rigid body motion solution to regularize the BCM and avoid computation of the corner tensor, (b) quadratic boundary elements compared to linear elements in previous work and (c) evaluation of stresses both inside and on the boundary of a body. This method allows boundary stress computations at regular points (i.e. at points where the boundary is locally smooth) inside boundary elements without the need of any special algorithms for the numerical evaluation of hypersingular integrals. Numerical solutions for illustrative examples are compared with analytical ones. The numerical results are uniformly accurate.
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页码：310 / 319
页数：9
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