Meshfree method for large deformation analysis–a reproducing kernel particle approach

This work concerns the analysis of large displacement problems using the meshfree approach. Meshless algorithms based on the reproducing kernel particle estimate are proposed and applied to the analysis of typical two-dimensional large displacement problems. Due to the lack of Kronecker delta properties in meshless shape functions, the penalty method is explored and employed to enforce the essential boundary conditions. Results of numerical examples involving both geometrical and material nonlinearities show that the meshless model has at least similar effectiveness and accuracy as compared to the finite element method.