133 二重介在物問題への Mori-Tanaka 定理の拡張

概要

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The Mori-Tanaka theorem is one of the powerful methods for a heterogeneous material which contains many inhomogeneous inclusions to homogenize a homogeneous one. The expression for the interaction stress occurred in such a heterogeneous material can be derived by using the Mori-Tanaka theorem. Unfortunately, for the case of a so-called double inclusion which consists of a nested sequence of two inhomogeneous inclusions, the Mori-Tanaka theorem can not be applicable in evaluating the interaction stress. Along the line of the derivation of the Mori-Tanaka theorem, the interaction stress occurred in the material containing many double inhomogeneous inclusions is examined in the present study. The resultant expression of the interaction stress is consistent with the ordinary Mori-Tanaka's result. Moreover, the modified equivalent expression for a double inhomogeneous inclusion is derived by using the interaction stress obtained.
社団法人日本機械学会の論文
2002-10-10