An h-Adaptive Rigid (Visco) Plastic Meshless Galerkin Method for Large Metal Deformation Analysis

Abstract

In metal forming process analysis, the accuracy loss is inevitable for complex boundary shape, un-uniformly distributed points and high velocity gradient distribution in analysis domain. In order to improve simulation accuracy, an h-adaptive procedure for the background required rigid (visco) plastic meshless Galerkin method is developed. A mixed posteriori error indicator is presented, which consists of a cell energy rate integration error estimator and a cell energy rate approximation error estimator to indicate the integration error and the approximation error, respectively. The corresponding local refinement strategies are developed, and the adaptive refining procedure is given. The adaptive procedure is applied only once in each time step simulation for the consideration of computational efficiency. A bulk forming process with severe metal deformation is analyzed. In comparison with the results obtained by using software Deform-2D, the effectiveness of the method developed in this paper is demonstrated.