基于断裂力学理论研究了无限大薄板内单一闭合裂纹的破裂规律,从II型断裂准则出发,详细推导了单轴压缩下裂纹破裂强度的解析表达式,且定量的分析了裂纹倾角、长度和摩擦系数对岩体破裂过程的影响,运用数值软件RFPA2D对其进行验证,二者具有较好的一致性。研究结果表明,单轴压缩下,含闭合裂纹岩体的强度是由裂纹强度决定的,且随裂纹倾角的增大呈现出先减小后增大的趋势,裂纹长度越大,摩擦系数越小岩体强度就越小。
The failure laws of single closed crack in an infinite sheet were studied based on the theory of fracture mechanics. Starting from the type II fracture criterion,the analytical expression on failure strength of crack under uniaxial compression was deduced in detail,and the influence of crack angle,crack length and friction coefficient to rock failure process were analyzed quantitatively. Through the verification by the numerical software RFPA2 D,both had good consistency. The results showed that under uniaxial compression,the strength of rick with closed crack is determined by the strength of crack,and shows the trend of decreased first and then increased with the increase of crack angle. The larger the crack length,the smaller the friction coefficient,and the smaller the rock strength.