Mesh Coarsening Method Based on Multi-point Constraints for Large Deformation Finite Element Analysis of Almost Incompressible Hyperelastic Material

摘要

In this study, we propose a mesh coarsening method based on the multi-point constraints for large deformation finite element analysis. In this coarsening method, a distorted element and the neighbor quality elements is combined into one element. We analyze large deformation of mixture of almost incompressible Mooney-Rivlin material using the u/p formulation in the total Lagrangian description and St. Venant-Kirchhoff material with a large Young's modulus. In a finite element analysis of such materials, mesh distortion arises near the material interface because of the difference of Young's modulus and it leads to termination of a finite element analysis program. From the numerical results, it is confirmed that the mesh coarsening method is effective for mesh distortion in the vicinity of singularity. With the present method, it is possible to improve the Jacobian values of elements around the coarsened elements and continue further computation.