FM-BEM Evaluation for Effective Elastic Moduli of Microcracked Solids

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• 作者：Pengbo Wang ; Zhenhan Yao ; Yintao Wei
• 关键词：fast multipole ; boundary element ; microcrack ; effective modulus
• 刊名：Tsinghua Science & Technology
• 出版年：2007
• 出版时间：October 2007
• 年：2007
• 卷：12
• 期：5
• 页码：562-566
• 全文大小：426 K

文摘

A fast multipole boundary element method (FM-BEM) was applied for the analysis of microcracked solids. Both the computational complexity and memory requirement are reduced to O(N), where N is the number of degrees of freedom. The effective elastic moduli of a 2-D solid containing thousands of randomly distributed microcracks were evaluated using the FM-BEM. The results prove that both the differential method and the method proposed by Feng and Yu provide satisfactory estimates to such problems. The effect of a non-uniform distribution of microcracks has been studied using a novel model. The numerical results show that the non-uniform distribution induces a small increase in the global stiffness.