Abstract：To improve the precision of stresses with the mesh-free method，the stresses as well as displacements are interpolated independently. The whole domain is divided into boundary-domain and inside-domain. For the nodes on the boundary，the mesh-free finite volume method is used to establish the discrete equations. For the other nodes inside the domain，the mesh-free finite difference method is employed to discretize the gradients of stress node by node. Under the hypothesis of the small deformation，the hybrid mesh-free finite volume difference method for elasto-plastic analyses is proposed based on the incremental constitutive equations. The course of tunnel excavation is stimulated. Numerical examples show that the proposed incremental hybrid mesh-free finite volumetric difference method has high precision and efficiency，moreover it is of some practical value.
