论文部分内容阅读
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。
The elastoplastic problems of axisymmetric round lane under two different directions of unequal pressure are perturbed and solved. The analytical solution of the second-order trace stress distribution and the perturbation of elastic-plastic boundary in the elastic region is given and applied to the engineering Example for calculation and analysis. The results show that the elastic-plastic boundary of axisymmetric round roadway is approximately elliptical under two-dimensional unequal pressure; the tangential stress and radial stress r of the elastic zone are equal, and the steady value of radial stress is larger than the original rock stress (Lateral pressure coefficient> 1); elastic zone stress and the size of the plastic zone are sensitive to changes. Comparing the non-linear fitting results of perturbed solutions with the existing Д.А. Galin solutions, the results show that the two are highly consistent.