Nonsingular BEM formulations for thin-walled structures and elastostatic crack problems
Nonsingular BEM formulations for thin-walled structures and elastostatic crack problems
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DOI：
10.1007/bf01177243
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发表时间：
1993-03
期刊：
影响因子：
2.7
通讯作者：
V. Sládek;J. Sládek;M. Tanaka
中科院分区：
文献类型：
--
作者：
V. Sládek;J. Sládek;M. Tanaka
本文提出了一种独特的方法，称为“数学正则化”，以消除近奇异和奇异积分出现在边界积分公式的解决方案与“病态”的积分边界，由于总边界的非常接近或重合的部分的边界值问题。推导了薄壁结构问题的非奇异边界积分方程。对于裂纹类问题，我们给出了二次场的两种非奇异积分表示和导数边界积分方程。
This paper presents a unique approach, named “mathematical regularization”, to remove the nearly-singular and singular integrals occurring in the boundary integral formulations for the solution of the boundary value problems with a “pathologica” integration boundary due to the very near or coinciding parts of the total boundary. Nonsingular boundary integral equations are derived for thin-walled structure problems. In the case of crack-like problems, we present two kinds of the nonsingular integral representations of the secondary fields and the derivative boundary integral equations.