受压状态下裂纹扩展的数值分析

NUMERICALANALYSISOFCRACK PROPAGATION UNDER COMPRESSION

根据线弹性断裂力学原理， 引入改进的拉格朗日乘子法处理材料界面的接触摩擦， 通过围线积分法计算裂纹尖端的应力强度因子， 利用数值流形方法追踪岩体试件受压裂纹扩展的过程。该方法所得结果与实验值相符， 同时就不同方向角裂纹试件裂纹的扩展进行了数值分析。

Based on the theory of linear elastic fracture m echanics(LEFM), the crack propagation of rock specim en is sim ulated through num ericalm anifold m ethod(NMM). Meanw hile, contact-friction ofthe inter- faces ofm aterials is m odeled by m eans ofim proved Lagarangian m ethod, and stress intensity factors are ob- tained by a path independent contour integralm ethod. Both the trajectories of crack propagation and the loads of different stages determ ined from this analysis are sim ilar to experim entalresults. Then num erical tests are carried out for differentinclination ofpreexisting crack.