单轴拉伸作用下不等长裂纹相互影响的断裂力学分析

doi:10.13722/j.cnki.jrme.2014.s2.029

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摘要岩石中不同尺寸裂纹之间的相互作用是导致岩石破坏的一个关键因素。针对岩体中存在的众多不等长裂纹相互作用的问题，基于经典Kachanov方法，推导2条共线不等长裂纹受远场拉伸时的应力强度因子表达式，分析2条不等长共线裂纹间的相互作用和影响规律。计算求得的应力强度因子与应力强度因子手册上的结果能很好地吻合，验证所推表达式的正确性。研究结果表明，当小裂纹长度小于裂纹间距时，对大裂纹基本没影响；当大裂纹长度大于裂纹间距时，开始对小裂纹产生明显影响；当裂纹间距增大到等于大裂纹长度时，大裂纹对小裂纹几乎无影响。

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关键词 ：岩石力学, 不等长裂纹, Kachanov法, 相互作用, 应力强度因子

Abstract：The interaction of different sizes of cracks in the rock is one of the key factors leading to the damage of rock. Aiming at the interaction problem of many unequal cracks existing in the rock mass，the expressions for the stress intensity factors at the crack tip of two collinear unequal cracks under far field tension were derived by Kachanov method. The interaction and the influence of two unequal cracks were analyzed. The stress intensity factors obtained by the expressions were in good agreement with the handbook of stress intensity factors. So it verified the rationality of the obtained expressions. Results show that the small crack almost has no impact on the large crack when its length is shorter than the distance between the cracks. The large crack begins to have obvious influence on the small crack when its length is longer than the distance between cracks. When the distance between two cracks reaches the length of large crack，the large crack almost has no influence on the small one.

Key words： rock mechanics unequal cracks Kachanov method interaction stress intensity factors(SIF)

引用本文:

席婧仪，陈忠辉，张伟. 单轴拉伸作用下不等长裂纹相互影响的断裂力学分析[J]. 岩石力学与工程学报, 2014, 33(S2): 3625-3630.
XI Jingyi，CHEN Zhonghui，ZHANG Wei. FRACTURE MECHANICS ANALYSIS OF UNEQUAL CRACKS INTERACTION UNDER UNIAXIAL TENSION. , 2014, 33(S2): 3625-3630.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2014.s2.029 或 https://rockmech.whrsm.ac.cn/CN/Y2014/V33/IS2/3625

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