自然ひずみを用いた有限変形解析（純粋剪断におけるひずみ速度の弾塑性分解の定式化と弾性ひずみと塑性ひずみの軌跡について）

概要

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The Natural Strain suggested in this paper is a strain expression, which is obtained by integrating an infinitesimal strain rate on an identical line element in the body. Consequently, the shearing strain becomes pure angular strain which is obtained by removing the rigid body rotation from the rotating angle of a line element. Since the additive law of strain on an identical line element can be satisfied, this strain rate can be clearly decomposed into the elastic component and the plastic component. In this paper, the elasto-plastic decomposition of strain rates in the large pure shear is formulated on the basis of the concepts of the intermediate configuration, which is originally proposed by E.H.Lee, and the geometrical meaning of this formulation is revealed. The strain distributions of the elastic and the plastic strain component and the locus of strain on an identical line element are calculated numerically and the rationality of this formulation is verified.