Symmetric Galerkin BEM for bodies with unconstrained contours

Francesco Freddi; Gianni Royer-Carfagni

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Symmetric Galerkin BEM for bodies with unconstrained contours

机译：对称Galerkin BEM用于轮廓不受约束的物体

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摘要

The solution via symmetric Galerkin boundary element method of problems in linear elasticity presents a major difficulty when a whole connected component of the boundary is under Neumann condition. In fact, apart from some special cases here discussed in detail, the resulting boundary integral equations are in general insensitive to the rigid body displacement of unconstrained connected boundary-components, even when the displacement is prescribed on some other boundary portions. A simple procedure is here proposed to solve the aforementioned indeterminacy while preserving the symmetry of the integral operator. Representative examples confirm the numerical effectiveness of the proposed method.

机译：当边界的整个连接部分处于诺伊曼条件下时，通过对称Galerkin边界元方法求解线性弹性问题带来了很大的困难。实际上，除了这里详细讨论的一些特殊情况外，所得边界积分方程通常对不受约束的连接边界分量的刚体位移不敏感，即使在某些其他边界部分规定了位移时也是如此。在此提出一种简单的过程来解决上述不确定性，同时保持积分算子的对称性。代表性实例证实了所提出方法的数值有效性。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2006年第12期|p.961-981|共21页
作者
Francesco Freddi; Gianni Royer-Carfagni;
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作者单位

University of Parma, Department of Civil-Environmental Engineering and Architecture, Parco Area delle Scienze 181/A, I-43100 Parma, Italy;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
关键词
boundary element method; symmetric galerkin; periphractic bodies; infinitesimal rigid body displacement; uniqueness; neumann boundary condition;

机译：边界元法;对称伽勒金;周向体;无限小刚体位移;唯一性;诺伊曼边界条件;

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2. Modeling multicrack propagation by the fast multipole symmetric Galerkin BEM [J] . Dansou Anicet, Mouhoubi Saida, Chazallon Cyrille, Engineering analysis with boundary elements . 2019,第Sepa期

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4. A note on symmetric Galerkin BEM for multi-connected bodies [C] . J.J. Perez-Gavilan, M.H. Aliabadi MIT Conference on Computational Fluid and Solid Mechanics Vol.Ⅰ Jun 12-15, 2001 . 2001

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Symmetric Galerkin BEM for bodies with unconstrained contours

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