期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 294, 期 -, 页码 168-188出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2015.06.003
关键词
Composite materials; Homogenization; Lippmann-Schwinger equation; FFT
资金
- German Research Foundation (DFG), Federal Cluster of Excellence [EXC 1075]
FFT-based homogenization methods operate on regular voxel grids. In general, such grids cannot resolve interfaces exactly. In this article we assign voxels containing an interface a stiffness different from the constituent materials in a systematic fashion. More precisely, we characterize the class of these so-called composite voxels leading to convergence of the discretizations. Considering the interface in the composite voxel as linear, we furnish the voxel with the corresponding laminate stiffness. These laminate voxels are shown to increase both the accuracy of the calculated effective properties and the local quality of the strain and stress fields dramatically. (C) 2015 Elsevier B.V. All rights reserved.
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