Inelastic constitutive equation on the basis of the distribution function of yield stress. 1st Report. Formulation of plastic constitutive equation.

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  • 降伏応力の分布関数を用いた非弾性構成式　Ｉ　　塑性構成式の定式化
  • コウフク オウリョク ノ ブンプ カンスウ オ モチイタ ヒ ダンセイ コウセ

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Abstract

In this paper, we propose the distribution function of the yield stress to characterize the inelastic behavior of metal. This inelastic model is consisted with infinite small cells of the ideal plastic material, which are placed in parallel. The distribution function of the yield stress means the content of infinite small cells. The integral constitutive equation for this model is derived under combined stress state. The stress strain relations for several strain histories, which include the sharp corner of the strain paths, are calculated. It is shown that this constitutive equation can simulate Bauschinger's effect and the delay phenomenon.

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