修正的拉应力裂纹扩展准则及裂隙水压对裂纹扩展的影响  

The modified tensile stress crack propagation criterion and influence of cranny hydraulic pressure on crack propagation

作　　者：张敦福[1] 李术才[1,2] 

机构地区：[1]山东大学土建与水利学院工程力学系,济南250061 [2]山东大学岩土与结构工程研究中心,济南250061

出　　处：《计算力学学报》2009年第1期114-119,共6页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(50625927;50574053)资助项目

摘　　要：对脆性材料的第一主应力——拉应力裂纹扩展准则进行了补充和修正,修正的裂纹扩展准则能确定裂纹扩展步长。以平面斜置裂纹扩展为例,利用无网格Galerkin方法,对不含裂隙水压的二维裂纹扩展进行数值模拟,计算结果与试验结果一致,表明最大周向拉应力准则的正确性。在不同裂隙水压条件下,研究了二维裂纹初始破裂,并在给定水压下对二维裂纹扩展路径进行了数值模拟跟踪。结果表明裂隙水压对裂纹初始破裂方向、破裂步长、破裂载荷和裂隙岩体破裂强度有显著影响。有水压和无水压的扩展迹线不同,但后续的扩展趋势相同。The first principal stress tensile stress criterion for brittle material was supplied and modified. The modified crack propagation criterion can give out crack propagation steps. The 2-D sidelong crack propagation was taken as an example. The element free Galerkin method was used. Numerical simulation of 2-D crack propagation without cranny hydraulic pressure was accomplished. The simulation results agree well with experiential results. The correctness of the maximal circumferential tension stress criterion is proved. Following on, the beginning rupture of 2-D crack with different cranny hydraulic pressure was studied. The 2-D crack propagation with given cranny hydraulic pressure was traced numerically. All results show that cranny hydraulic pressure has great influence on crack beginning rupture orientation, rupture step,rupture load and the intensity of rock-mass with crack. The crack propagation traces with and without cranny hydraulic pressure are different. But the upper propagation trend-line with and without cranny hydraulic pressure are uniform.

关 键 词：最大周向拉应力准则 裂隙水压 裂纹扩展 无网格GALERKIN方法 

分 类 号：O346.1[理学—固体力学] O242[理学—力学]