中文摘要：

采用自适应无网格-有限元耦合方法研究多层介质表面弹塑性接触问题。将基于应变能梯度的自适应无网格法与线性规划-增量初应力法相结合,给出模型计算理论和算法实现,并在计算中考虑了材料的塑性应变。研究了一种涂层表面和圆柱体表面、粗糙表面的弹塑性接触,并分别与其均匀密化解进行比较。结果表明：在同等条件下采用自适应无网格方法对弹性-理想塑性接触问题进行计算能在较小的计算耗费下取得较好的计算结果。

英文摘要：

An adaptive element-free Galerkin-finite element（EFG-FE） coupling method is adopted to investigate elasto-plastic contact problem for multi-layered media. In view of the plastic strain in the computation,the adaptive element-free Galerkin method based on strain-energy gradient and linear programming technique with the initial stiffness method are combined. Elasto-plastic analyses of a rigid cylinder contacting with a layered plane and a rough surface contacting with a layered plane are carried out. Computational results are compared with those of uniformly refined nodes distribution solutions. The results show that under the same circumstances,the adaptive EFGFE method works better for solving the elasto-perfectly plastic contact problems. It also ensures the calculation precision and improves the computational efficiency.