基于Weibull统计分布的岩石损伤模型

基于岩石内部裂隙和孔隙分布的随机性,运用连续损伤力学理论,建立了围压与轴压共同作用下岩石的统计损伤模型;结合岩石应力应变曲线的特征参量确定了模型参数,增强了模型的适应性;探讨了岩石损伤的演化性态及其宏观表现,并通过试验对模型进行了验证.结果表明:岩石的宏观力学特性取决于内部微裂纹的细观力学响应,其损伤演化途径反映了岩石变形破坏的全过程;模型理论曲线与试验实测曲线具有较高的吻合度,验证了模型的合理性.

Research on rock statistical damage model and determination of parameters

Firstly, using the continum damage mechanics theory, the statistical damage constitutive model of rocks under the interaction of confining pressure and axial compression was established based on the randomness of the rock internal cracks and pore distribution. Secondly, the method for determining the model parameters was established by combing the characteristic parameters of rock stress strain curve, which enhanced the adaptability of the model. Finally, the evolutionary path of the rock damage and its macroeconomic performance were investigated, and the model was verified by the test. The results show that the macro mechanical properties of the rock depend on micromechanics response of the internal micro cracks, its damage evolution approach reflects the whole process of rock deformation and failure. In addition the theoretical curve of model and the experimental measured curve has a high degree of matching which verify the rationality of the model.