906 点対称性を有する周期構造体の均質化解析における解析領域の低減(OS9-(2)オーガナイズドセッション《複合材料の変形と破壊およびマルチスケール計算技術》)

概要

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In this study, the homogenization theory for periodic materials with misaligned internal structures is rebuilt by employing half of a unit cell as an analysis domain, when the unit cell possesses point-symmetry with respect to its cell center. For this, it is shown that the periodic materials with misaligned internal structures consisting of such unit cells possess point-symmetry regarding their internal structures and perturbed velocity fields. Then, using the point-symmetry of perturbed velocity fields as a novel boundary condition, half of a unit cell, i.e., a semiunit cell, is introduced into the homogenization theory, reducing the analysis domain by half. The present method enables the homogenization theory to deal with any internal misalignment using the same semiunit cell. As an application of the present method, the elastic-viscoplastic behavior of unidirectional carbon fiber-reinforced plastics (CFRPs) with four cases of misalignment is analyzed. It is shown that the transverse anisotropy of the unidirectional CFRPs decreases with the increase in misalignment, which agrees with the result obtained by using the whole unit cell.
一般社団法人日本機械学会の論文
2011-08-26