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分析了岩石的多孔隙特性、强度实验的全应力-应变曲线、蠕变特性曲线和松弛特性曲线。提出两条基本假定:在极慢速度加载过程中,损伤与外界所做的功成正比;损伤的速率和内平衡状态下的损伤与实际损伤之差成正比。推导了适合于任何应变不减小的加载和卸载过程的损伤演化统一微分方程。给出了几种情况下的计算特性曲线,不仅曲线形状与实测曲线相同,而且在定量关系上也与实际相符,这充分说明了假设的合理性和损伤演化方程的正确性。该损伤演化方程只有三个材料常数,而且这三个常数都可以很容易地根据实验数据确定。该方程对于认识岩石的力学性质有重要意义,对岩石力学的发展及各种岩石工程实际问题的解决都有重要的推动作用。
Porous properties of rocks, total stress-strain curves, creep curves and relaxation curves of rock were analyzed. Two basic assumptions are proposed: During very slow speed loading, the damage is directly proportional to the work done by the outside world; the damage rate is proportional to the difference between the actual damage and the damage at the internal equilibrium. The damage evolution uniform differential equations suitable for loading and unloading processes without any strain reduction are derived. The calculation characteristic curves are given in several cases, which not only the same curve shape but also the quantitative relationship with the actual curve, which fully demonstrates the rationality of the hypothesis and the correctness of the damage evolution equation. The damage evolution equation has only three material constants, and these three constants can be easily determined from the experimental data. The equation is of great significance for understanding the mechanical properties of rocks and plays an important role in promoting the development of rock mechanics and solving various practical problems of rock engineering.