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国际多尺度计算工程期刊
影响因子: 1.016 5年影响因子: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN 打印: 1543-1649
ISSN 在线: 1940-4352

国际多尺度计算工程期刊

DOI: 10.1615/IntJMultCompEng.v4.i4.60
pages 487-500

A Fast Multipole Boundary Integral Equation Method for Periodic Boundary Value Problems in Three-Dimensional Elastostatics and its Application to Homogenization

Y. Otani
Department of Applied Analysis and Complex Dynamical Systems, School of Informatics, Kyoto University, Japan
N. Nishimura
Department of Applied Analysis and Complex Dynamical Systems, School of Informatics, Kyoto University, Japan

ABSTRACT

This paper presents a fast multipole method (FMM) for periodic elastostatic problems in three dimensions. The proposed method periodizes the solution by using replica cells, but none of the lattice sums involved are divergent and, hence, there is no mathematical ambiguity in the formulation. We estimate macroscopic elastic constants of composites with rigid inclusions using the periodic FMM and the homogenization theory, which requires solutions of periodic boundary value problems for the microstructure. Good agreement is achieved between the macroscopic elastic constants obtained with the proposed method and those obtained with micromechanics.


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