Coupling of finite element method with material point method by local multi-mesh contact method |
| |
| Authors: | Y.P. Lian X. Zhang Y. Liu |
| |
| Affiliation: | 1. Department of Engineering, Geotechnical and Environmental Research Group, University of Cambridge, CB2 1PZ, United Kingdom;2. Department of Civil and Environmental Engineering, University of California-Berkeley, Berkeley 94720, USA;1. Delft University of Technology, Mekelweg 4, 2628 CD Delft, the Netherlands;2. Deltares, Boussinesqweg 1, 2629 HV Delft, the Netherlands;1. Computational Physics Division, Eulerian Codes Group, XCP-2, K784, USA;2. Theoretical Division, Fluid Dynamics and Solid Mechanics Group, T-3, B216, Los Alamos National Laboratory, Los Alamos, NM 87545, USA |
| |
| Abstract: | As a Lagrangian particle method, the material point method (MPM) has the potential to model extreme deformation of materials, where the traditional finite element method (FEM) often encounters mesh distortion and element entanglement which lead to numerical difficulties. However, FEM is more accurate and efficient than MPM for problems with small deformation. It is therefore desirable to model the body with extreme deformation by MPM and the body with small deformation by FEM, respectively. In this paper, a method to handle the contact interaction between the MPM body and the FEM body is proposed, which is implemented on the background grid of MPM. By this method, FEM is coupled with MPM and a hexahedral element is incorporated into our 3D explicit MPM code MPM3D®. Several numerical examples, including plate impact, sphere rolling, perforation of thick plate, and fluid–structure interaction problems, are studied and the numerical results are in good agreement with analytical solution and results available in the literature. The coupling of FEM and MPM offers advantages of both FEM and MPM. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
