中文摘要：

采用偶应力理论描述了层状岩体的特殊本构反应，应用无网格法对层状岩体进行了数值模拟。由于用移动最小二乘近似构造的形函数具有高阶连续特征，应变和曲率可直接由节点位移插值，进而可以方便地建立无网格数值计算框架。对层状岩体地下洞室进行了数值模拟，研究了基于偶应力的无网格法在层状岩体数值模拟中的应用效果，并对尺度因子的影响规律进行了分析。

英文摘要：

In this paper, the couple stress theory is adopted to describe the constitutive response of the layered rock mass, and the mesh-free method is employed to carry out the numerical simulation for the layered rock mass. Since the moving least-square approximation can produce the shape functions with the higher-order continuum, the strain and the curvature are directly interpolated with the nodal displacements, and the mesh-free computational scheme can be eas-ily established. The numerical simulation is carried out for the underground cavity in the layered rock mass, and the effi-ciency of the couple stress theory and mesh-free method is studied and the effect of scale factor is discussed.