固有ひずみ場を用いた複合材のマルチスケール解析手法の精度評価とその応用

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In order to estimate the accuracy of multiscale analysis for materials with microstructures based on the eigenstrain fields formulated by Nemat-Nasser and co-workers, we performed the computational simulation employed the piecewise approximation method, so called Subdivisions Method that discretizies inclusion region into the sub-domains where the eignenstrains are taken as constant. Through the numerical evaluation of the overall properties and microscopic deformation behavior of elastic solids that contain periodically distributed hard inclusions in soft matrix, we found that the results significantly depend on the way of discretization of inclusion into subregion. The results of Subdivisions Method with subregions that have the same volume show the excellent agreement with those due to Homogenization Method, whereas, those with the different volume were very poor. Therefore, it has been concluded that Subdivisions Method with the same volume of subregion provide efficient tool for the estimation of the macroscopic mechanical properties of the materials with periodic microstructures. The Subdivisions Method with the same volume of subregion is applied to investigate the overall complex properties and microstrain of unidirectional/short-fiber reinforced composite materials and the effect of the location of reinforcements under a constant volume fraction on its macroscopic mechanical properties are clarified.
一般社団法人日本機械学会の論文
2001-04-25

固有ひずみ場を用いた複合材のマルチスケール解析手法の精度評価とその応用

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