单材料V型切口尖端应力奇异性问题分析

从建立单材料V型切口问题的微分方程着手,采用数值分析的方法,研究了切口问题的弹塑性应力奇异性和切口尖端附近应力场,提出了解决该微分方程的可行方法.讨论切口的几何参数和硬化指数以及切口两边的约束条件及切口角度对应力奇异性的影响,提出了估算应力奇异性的近似表达式.

Singularity Stress Analysis Near the Tip of V-notch in Homogeneou s Materials

From the point of building differential equations of V-notch in homogeneous materials,the problem of elastoplast stress singularity and stress field near the tip of V-notch is not only studied in the way of numeric analysis,but also a feasible solution to those equations is presented.According to the numerical results,the effects of the hardening power of materials and the geometry of V-notch on the singularity are discussed.An approximate expression is presented to evaluate the plastic stress singularity for free clamped edges.