多結晶体の弾塑性変形における結晶粒の回転と表面あれのモデル解析

概要

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Deformation of inhomogeneous materials such as polycrystals is usually quite complex. The present study attempts to clarify some aspects of deformation behavior during elastic-plastic deformation of polycrystalline materials. A simple plane model of polycrystals was employed, in which three kinds of rectangular and octagonal grains having respective stress-strain relations were assumed to exist regularly. The differences in Young's modulus, yield stress and work-hardening rate were expressed with the parameters of inhomogeneity. The finite element method was used for the numerical calculaion, where the von Mises yield criterion and the Prandtl-Reuss stress-strain increment relation were assumed. The applied load was uniaxial tension. The rotation of grain resulting from the inhomogeneous deformation of surrounding grains and the roughening of free surface were mainly studied, and discussion was made on the influences of the material constants on the rotation and the roughening.
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