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ISSN Druckformat: 1543-1649
ISSN Online: 1940-4352
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A Fast Multipole Boundary Integral Equation Method for Periodic Boundary Value Problems in Three-Dimensional Elastostatics and its Application to Homogenization
ABSTRAKT
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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