Abstract

The authors discuss a mathematical model of rock mass with regard to accumulation and release of stored energy. Self-balancing stresses are described using internal variables introduced. The type of a closed system of equations is examined. An algorithm is proposed for the numerical modeling of softening jumps within a quasi-static problem. The problem on deformation of rock mass around a tunnel is solved using the finite element method. Under certain conditions, self-balancing stresses can be unbalanced, which causes disastrous dynamic phenomena associated with confining pressure.

中文翻译：

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考虑自平衡应力的岩体不稳定变形的数学建模

摘要

作者讨论了关于储存能量积累和释放的岩体数学模型。使用引入的内部变量来描述自平衡应力。检查了封闭方程组的类型。提出了一种用于对准静态问题中的软化跳跃进行数值建模的算法。利用有限元方法解决了隧道周围岩体的变形问题。在某些条件下，自平衡应力可能不平衡，从而导致与围压相关的灾难性动态现象。