Strong form meshfree collocation method for frictional contact between a rigid pile and an elastic foundation

In this paper, a strong form meshfree collocation method is developed for two-dimensional single-body frictional contact problems. In this approach, a point-wise Taylor series approximation and generalized moving least squares approach is used to construct numerical differential operators at discrete points within the domain. The differential operators are then used to spatially discretize and solve the governing partial differential equations. Contact constraint conditions are formulated with the penalty approach. To demonstrate the efficiency of the method, benchmark problems in frictionless and frictional contact relevant to a rigid pile and an elastic foundation contact are provided. The numerical results are also compared with the finite element solutions to verify robustness and accuracy of the method.