有强化弹塑性含椭圆孔板在双轴等强拉伸作用下的一般解

本文论述了借助于复变量伪应力函数求解幂硬化材料平面应力问题的一般方法,给出了由此法得到的关于有强化弹塑性平面应力问题的所有应力、应变和位移分量的复变量形式封闭解表达式。并应用上述一般方法和基本公式,求解并得出了双轴等拉右强化弹塑性含椭圆孔板问题的应力、位移分量的一般解析录达式。为了便于工程应用,文中给出了从该一般解得到的孔口附近的应力分布式,并将其与已有的渐、近、实验解进行了对比。结果表明,作为精确解的本文解是可靠的,可推荐给工程中使

A General Analytical Solution of a Strain-hardening Elastic-plastic Plate With an Elliptical Hole Subjected to Equal-biaxial Tension

At the begining of this paper, the general method of solving the plane stress problems of power-law materials by using the complex pseudo-stress function is described ., and the complex closed-form expressions for the stress,strain,and displacement components in the problems are given herein. Then,by using this general method and the resulting formulae, general solution for the stress and displacement compents of a strain-hardening elasto-plastic plate with an elliptical hole subjected to equal-biaxial tension is obtained. For convenient engineering use, the expressions of stress components around the hole are further derived from the general solution, the results of which are compared with those of a known asymptotic and experimental solution. It is shown that the general solution obtained in this paper as an exact one is reliable and can be recommened for engineering applications.