孔隙水压力作用下偏心裂纹板的弹塑性分析

Near Crack Line Elastoplastic Solution for an Eccentric Cracks Loaded by the Pore Water Pressure

岩体的变形和破坏与裂隙的成核、扩展和连接密切相关,孔隙水压力显著影响裂隙的成核、扩展和连接。孔隙水压力作用下偏心裂纹板的弹塑性问题比中心裂纹板的弹塑性问题在实际中更为普遍,因此研究孔隙水压力作用下偏心裂纹板的弹塑性问题比中心裂纹板更有实际意义。该文利用裂纹线场方法和Mohr-Coulomb准则对孔隙水压力作用下岩石材料偏心裂纹板的弹塑性问题进行了分析,确定了裂纹线附近的弹性应力场、塑性应力场、弹塑性边界上的单位法向量、裂纹线附近的塑性区长度、裂纹线上的塑性区长度随孔隙水压力的变化规律以及孔隙水压力作用下偏心裂纹板的极限承载力,获得了孔隙水压力作用下偏心裂纹板的弹塑性解析解,并对偏心裂纹板在不同偏心情况下的塑性区长度和贯通情况进行了分析。

By using near crack line analysis method and Mohr-Coulomb strength criterion, the elastic-plastic solution for near crack line of an eccentric cracks loaded by the pore water pressure under large scale yielding condition is analyzed. The elastic stress fields, the plastic stress field, the unit normal vector of the elastic-plastic boundary near the crack line, the elastic-plastic stress fields near crack line are identified. The change pattern of the length of the plastic zone and the pore water pressure is presented. Besides, the elastic- plastic analytical solution for an eccentric cracks loaded by the pore water pressure is obtained.