131 非圧縮性構成要素を含む複合材料の巨視的剛性のマイクロメカニックス解析

概要

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Generally, the equivalent eigenstrain for a reinforcement in a composite material is difficult to determine when the composite contains an incompressible constituent, because its bulk modulus becomes infinite in the equivalent expression to the hydrostatic component of stress. All cases are examined in the present study. The first case is for the incompressible reinforcement. The relation that the volumetric strain in the reinforcement is zero in value is used successfully to determine the equivalent eigenstrain instead of the hydrostatic equivalent expression. For the second case of the incompressible matrix, the Eshelby tensors rearranged with respect to the Poisson's ratio of the matrix are used to cancel the bulk modulus in the equivalent expression, so that the equivalent eigenstrain can be determined successfully. When both constituents are incompressible, both equivalent eigenstrains derived from the results of both cases agree with each other, and their hydrostatic components become zero.
一般社団法人日本機械学会の論文
2002-10-10