周期的に配列された楕円形介在物を有する複合材料の弾性係数の解析

概要

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The elastic constants of a composite material containing periodically arranged elliptic inclusions are numerically analyzed by the body force method. Denoting Youngs modulus and Poissons ratio by (EM, vM) and (EI, vI), where the suffixes M and I indicate the matrix and the inclusion respectively, the numerical analyses are carried out for both cases of EM>EI and EM<EI. First, the method of analysis is explained briefly and the accuracy of the method is checked by comparing the present results with the previous solutions which were obtained for a few simple cases by other researchers. And then, many numerical results are obtained for various shape ratios of elliptic inclusions under square and diagonal configurations. Based on the numerical results, it is concluded that the conventional prediction method of Youngs modulus by the volume fraction of inclusion does not necessarily give good approximations. A more rational method for the approximate prediction of Youngs modulus of a composite material is proposed.
日本複合材料学会の論文