等压圆洞的弹塑性随机场

Analysis of Elasto-plastic Stochastic Field of a Circular Opening

研究了弹塑性介质的随机应力场和位移场．根据随机微分方程的基本理论，导出圆形洞室轴对称条件下，介质服从随机Drucker－Pranger屈服函数的塑性区随机应力场，以及弹塑性随机位移场，并采用二阶展开式探讨了随机场的一阶、二阶矩特征．

This paper studies the stochastic stress field and displacement field ofrandom elastoplastic media. From the basic concepts of random partial differentialequations, solutions to the random plastic stress field, random elastic sttess fieldand random displacement field of a circular opening under symmetric conditionhave been deduced analytically. Meanwhile, the second-order accuracy expan-sions of these stochastic fields have been used to deal with the characteristics oftheir first - moment and second - moment.