【摘要】 把应力函数引入平面问题的Mises屈状条件后那个二阶非线性偏微分方程分解为两个二阶线性偏微分方程,用柯西积分公式求出这两个方程右端的已知函数,然后解这个方程,由此定出弹塑性区域的分界线和求出塑性区内的各应力分量,给出一个例题说明本文方法的应用.更多还原

【Abstract】 This problem is solved by dividing the quadratic yielding criterion into two linear partial differential equations. With the help of Cauchy’s integral, these two linear equations can easily be solved. An example is given to show the calculation of the stress components in the plastic domain and the determination of the equation of the boundary line between the plastic and elastic domains.更多还原