Abstract

The authors construct an exact solution to the problem on the stress–strain behavior of rock mass at the boundary of an underground excavation of an arbitrary geometry if the vectors of the Cauchy stresses and displacements are assigned simultaneously at this boundary. All explicit components of stress and strain tensors, as well as the components of rotation vector are determined as functions of the elastic characteristics of rocks, values of the preset functions and differential properties of the boundary.

中文翻译：

---

来自地下开挖边界柯西应力和位移矢量测量的岩石应力-应变行为

摘要

如果柯西应力和位移的矢量在此边界上同时指定，则作者针对任意几何形状的地下开挖边界处岩体的应力-应变行为问题构建了精确解。应力和应变张量的所有显式分量以及旋转矢量的分量都被确定为岩石弹性特性、预设函数值和边界微分性质的函数。