Numerical analysis Model for Discontinuous Rock Mass with Consideration of Frictional Contact Behavior of Cracks

岩体的力学性质在很大程度上取决于由分布的裂隙和各种岩石材料组成的微观结构。为了评价此类岩体的变形能力和强度，提出了基于均匀化方法和断裂力学分析方法的多尺度数值计算方案。为了验证所提出的模型，进行了一系列的矩形石膏砂浆试件的强度测试，包括阵列裂纹，而这些强度预测的数值分析所提出的方法。基于均匀化分析的预测强度低于实测强度，而基于断裂力学的预测强度大于实际强度。从这一结果可以看出，预测结果与实验结果之间的差异可能是由于一些因素，对微观破坏定义的假设和基于图像的模型的数值误差，以及一些有待克服的问题，在不久的将来清楚地揭示。

Mechanical properties of rock mass are strongly governed by the microscopic structure that consists of distributed cracks and various rock materials. In order to evaluate the deformability and the strength of such rock mass, the numerical scheme of multi-scale, which is based on both the homogenization method and the analysis method by the fracture mechanics, is proposed. For the validation of the proposed model, a series of strength tests of rectangular gypsum mortar specimens including array cracks are carried out, while those strengths are predicted by numerical analysis by the proposed method. The strengths of the specimens predicted based on the homogenization analysis are lower than those of measured, while strengths predicted based on the fracture mechanics are greater than those of actual specimens. Prom this results it is recognized that these difference between predicted and experimented results may due to a few elements, the assumption on the definition of microscopic failure and numerical error from image based model, and some problems to be overcome in the near future are clearly revealed.