境界要素法による均質化法解析 : 弾性解析における定式化とコンピュータインプリメンテーション

概要

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In this paper, formulations for homogenization method using the boundary element method (BEM) for unit cell analysis are presented. Unlike the finite element method (FEM),the application of BEM for the homogenization analyses is not fully explored. Possible formulations, a full knowledge of numerical implementation and appropriate expressions for the effective elastic moduli, when BEM is employed in unit cell analysis, are not fully explored yet. The purpose of present paper is to discuss possible equation formulations, numerical implementations and formulations for the effective elastic moduli, which are suited for BEM unit cell analysis. Two different BEM formulations for unit cell analysis (multi-region and single-region with volume integral) are presented. Periodic boundary conditions and numerical procedures are discussed, and then formulas for effective elastic moduli are presented. Finally some numerical examples are presented.
一般社団法人日本機械学会の論文
2002-02-25