三维约束下幂硬化双材料界面裂尖场分析

ELASTIC PLASTIC ASYMPTOTIC ANALYSIS OF CRACKS ON BIMATERIAL INTERFACE UNDER THREE DIMENSIONAL CONSTRAINT

本文用Ｊ２形变理论分析了三轴应力约束下，由具有不同硬化指数和硬化系数的幂硬化材料构成的界面裂纹问题．通过在本构方程中引入三轴应力约束因子Ｔｚ，我们考虑了三维约束效应对裂尖场的影响．计算结果表明，三轴应力约束对裂尖场的分布，尤其是对径向应力σｒ和有效应力σｅ有重要影响．

An investigation on the near tip fields of cracks lying on the interface of two strain hardening materials has been conducted under three dimensional(3D) stress constraint. By using the J 2deformation theory and cons idering the 3D stress constraint factor T z, an exact asymptotic solution was obtained. It is found that there is strong effect of 3D constraint on the continuities and singularities of radial stress and equivalent stress.