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基于无限大体深埋平片状椭圆形裂纹的变形场及其扩展条件,分别推导了脆性岩石材料内部具有任意空间取向的单个张开型或闭合型椭圆形微裂纹及其扩展引起的附加柔度张量;考虑微裂纹系统对材料变形的影响,引入了概率密度函数,得到了任意应力状态下脆性岩石材料的宏细观损伤模型;分析了椭圆形微裂纹的短长轴比率对材料损伤的影响。计算结果显示:材料损伤随着短长轴比率的增大而增大,短长轴比率对材料损伤的影响会随着载荷的增大而提高。将本文模型应用于混凝土的单轴拉伸和花岗岩的单轴压缩,结果表明本文模型能够对实验现象给予很好地解释。
Based on the deformation field and the expanding conditions of an infinitely deep flat plate-shaped oval crack, a single open or closed oval microcracks with arbitrary spatial orientation inside the brittle rock material and their additional flexibility Tensor. Considering the effect of microcrack system on material deformation, the probability density function was introduced to obtain the macroscopic and meso-damage model of brittle rock under arbitrary stress state. The effect of the ratio of short major axis of elliptical microcracks to the damage of material influences. The calculated results show that the material damage increases with the increase of the ratio of short axis to long axis, and the effect of short axis ratio on the material damage increases with the increase of load. Applying this model to uniaxial tensioning of concrete and uniaxial compression of granite, the results show that our model can give a good explanation of the experimental phenomena.