基于边界元法各向异性岩石的裂纹传播路径分析

BOUNDARY ELEMENT ANALYSIS OF CRACK PROPAGATION PATHS IN ANISOTROPIC ROCK

利用边界元法来探讨各向异性大理岩的裂纹传播特性,如应力强度因子与裂纹倾角及材料各向异性的关系、裂纹初始开裂角度与裂纹传播路径的预测及仿真分析。将边界元法结合最大围压断裂准则来预测各向异性材料的裂纹初始开裂角度及模拟各向异性材料的裂纹传播路径,并将数值分析结果与前人的初始开裂角度及试验所观察的传播路径得到的结果进行比较,研究结果表明,数值分析结果与试验结果均较为吻合。因此,所提出的裂纹传播方式可准确地分析各向同性及各向异性材料的裂纹传播特性。

The development of a unified numerical framework based on the boundary element method（BEM） for modeling crack propagation behavior in anisotropic rock is presented. The BEM formulation combined with the maximum circumferential stress criterion is used to predict the crack initiation angles and to simulate the crack propagation paths. To demonstrate the proposed BEM procedure to predict crack propagation in anisotropic rock, the propagation path in cracked straight-through Brazilian disc（CSTBD） specimen is numerically predicted and compared with the actual laboratory observations. Good agreement is found between the two approaches. It is therefore concluded that the proposed BEM procedure can accurately simulate the process of crack propagation for anisotropic rock.