非圧縮性構成要素を含む複合材料に対する等価式の検討

概要

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The equivalent eigenstrain is difficult to determine for a incompressible reinforcement in a composite material since its bulk modulus becomes infinite in the equivalent expression to the hydrostatic component of stress. Same difficulty may occur for the case of an incompressible matrix. In the present study, the methods to determine the hydrostatic component of the equivalent eigenstrain are examined for these two cases. For the incompressible reinforcement, the physical condition that the volumetric strain in the reinforcement is zero in value is used instead of the equivalent expression in order to determine the hydrostatic equivalent eigenstrain. For the incompressible matrix, the Eshelby tensors are rearranged with respect to the Poisson's ratio of the matrix and these are substituting into the equivalent expression. As a result, the bulk modulus of the matrix in the equivalent expression is canceled by these Eshelby tensors and the equivalent eigenstrain can be determined successfully. Moreover, both techniques are used for the case that all constituents are incompressible. The resultant hydrostatic component of the equivalent eigenstrain becomes zero.
一般社団法人日本機械学会の論文
2005-01-25