Equivalence between the Local Boundary Integral Equation and the Mean Value Theorem in the Theory of Elasticity

被引:0
作者
M.Z. Wang
Shuli Sun
机构
[1] Peking University,Department of Mechanics and Engineering Science
来源
Journal of elasticity and the physical science of solids | 2002年 / 67卷
关键词
local boundary integral equation; mean value theorem; companion solution;
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学科分类号
摘要
The boundary element method based on a boundary integral equation has been very successful in computational mechanics. Atluri et al. [4] recently developed a new meshless method using the local boundary integral equations. It eliminates the tedious step of mesh generation and thus greatly simplifies the numerical computation process. This paper shows the equivalence between the local boundary integral equation and the mean value theorem in the theory of elasticity. In addition, it gives new proofs for the mean value theorem of elasticity and its converse based on the concept of a companion solution.
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页码:51 / 59
页数:8
相关论文
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