Three-dimensional superconvergent patch recovery method and its application to data transferring in small-strain plasticity

Abstract

In this paper, a 3D Superconvergent Patch Recovery (SPR) method is developed for data transferring in elasto-plasticity. The transfer operators are presented for mapping of the state and internal variables between different meshes. In order to transfer the history-dependent variables from old mesh to new one, the internal variables are firstly mapped from the Gauss points to nodal points of old mesh, the variables are then transferred from nodal points of old mesh to nodal points of new mesh, and the values are finally transferred from the nodal points to Gauss points of new mesh. As the solution procedure cannot be re-computed from the initial state, it is continued from the previously computed state. Aspects of the transfer operators are presented in 3D superconvergent patch recovery technique by fitting the best polynomial function with C0, C1 and C2 continuity. Finally, the efficiency of the proposed model and computational algorithms is demonstrated by several numerical examples.