Open Access

ARTICLE

Numerical Determination on Effective Elastic Moduli of 3-D Solid with a Large Number of Microcracks using FM-DBEM

Hongtao Wang^1,2, Haitao Wang², Lie Jin², Zhenhan Yao³

1 Corresponding author.
Tel: +86 10 6278 4825; fax: +86 10 6279 7136. Email: wanghongtao@tsinghua.edu.cn
2 Institute of Nuclear & New Energy Technology, Tsinghua University, Beijing, 100084, P. R. China.
3 School of Aerospace, Tsinghua University, Beijing, 100084, P. R. China.

Computer Modeling in Engineering & Sciences 2013, 94(6), 529-552. https://doi.org/10.3970/cmes.2013.094.529

Abstract

Since only the boundary of the analyzed domain needs to be discretized, the boundary element method (BEM) inherently has the advantages of solving crack problems. In this paper, a micromechanics BEM scheme is applied to determine the effective elastic moduli of three-dimensional (3-D) solids containing a large number of parallel or randomly oriented microcracks. The 3-D analyses accelerated by the fast multipole method were carried out to investigate the relations between the effective elastic moduli and the microcrack density parameter. Numerical examples show that the results agree well with the available analytical solution and known micromechanics models. From the numerical examples, we can see that the FM-DBEM inherits the virtue of high accuracy from BIE besides dimension reduction. It makes the method be a promising approach for analyzing elastic materials with numerous microcracks of various shapes.

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Keywords

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