A Rezoning Procedure for Finite Element Analysis of Rubber-like Materials

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by Takahiro Yamada, Tokyo Inst of Technol, Yokohama, Japan,

Document Type: Proceeding Paper

Part of: Computing in Civil and Building Engineering

Abstract: In this paper, we propose a rezoning procedure for finite element analysis of rubber-like materials. Rezoning procedures connect the distorted mesh and the newly created and undistorted one at a certain deformed state to avoid local distortion of element shapes, which may cause numerical instability as well as degradation of accuracy. In this work, we propose the rezoning procedure based on a variational formulation, in which the left Cauchy-Green deformation tensors on the old mesh are projected on the new mesh in a sense of a least square approximation with constraint conditions. Thus, the present rezoning procedure is suitable for finite element analysis of rubber-like materials, in which the Lagrangian description of motion needs to be considered.

Subject Headings: Finite element method | Rubber | Mesh generation | Deformation (mechanics) | Least squares method | Approximation methods | Lagrangian functions | Distortion (structural) |

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