Meshfree radial point interpolation method for analysis of viscoplastic problems

Abstract

A truly meshfree radial point interpolation method (RPIM) for analysis of viscoplastic problems is presented. Without recourse to any background cell, a fast and accurate meshfree integration method is employed for computation of the domain integrals in the RPIM. The effects of the total number of nodes and the parameters of the meshfree method on the accuracy of the solutions are studied too. Moreover, the effects of the viscoplastic material parameters on the results are investigated. To demonstrate the accuracy of the proposed method and provide a comprehensive investigation of the viscoplastic and meshfree parameters, several numerical examples are presented. Excellent agreements are observed through comparing the obtained results with those retrieved by the finite element method.