【摘要】 对两向不等压条件下轴对称圆巷的弹塑性问题进行摄动求解,给出弹性区域考虑二阶微量的应力分布和弹塑性交界线的摄动解析表达式,并应用该理论对工程实例进行计算分析。结果表明:两向不等压条件下轴对称圆巷的弹塑性交界线近似于椭圆;弹性区的切向应力和径向应力r有相等的情况,且径向应力的稳定值大于原岩应力(侧压力系数>1);弹性区应力和塑性区域的大小对的变化敏感。将摄动解的非线性拟合结果与已有的Д.А.加林解进行对比,结果显示两者具有高度的一致性。更多还原

【Abstract】 The perturbation solution of axisymmetric round well under unequal compression in two directions was studied. The elastic stress distribution considering the second order infinitesimal and analytic dynamics of elasto-plastic boundary line was raised,and the perturbation solution through engineering example was analyzed. Results show that elasto-plastic boundary line is similar to ellipse,tangential stress and radial stress r are equal in certain angles,and the stabilized value of r is greater than in-situ stress(>1). Research results are analyzed through the example of project,and compared with Д. А. Galindo solution to prove the reliability of the perturbation method,which are remarkably consistent.更多还原