A Visco-Hyperelastic Analysis Scheme by Using a Full Eulerian Finite Element Method for Dynamics of Pressure-Sensitive Adhesives

Abstract

A visco-hyperelastic analysis scheme based on a full Eulerian formulation is proposed for dynamics of pressuresensitive adhesives (PSAs). PSAs are usually based on an elastomer, which has rubber elasticity and viscosity. Young's modulus of PSAs is notably low compared with other solid materials. Thus extremely large deformation of PSAs can be observed. The numerical scheme is based on a full Eulerian finite element method, which allows arbitrarily large deformations and new free surfaces to be created in a natural manner in the spatially fixed mesh. The 3D PLIC-VOF method is used to capture the material interfaces with high accuracy. The constitutive relation of PSAs is described with Simo's viscoelastic model. In this model, rubber elasticity is modeled as Mooney-Rivlin materials as a function of the left Cauchy-Green deformation tensor. To validate the proposed approach, a steel ball impact on acrylic PSAs is simulated and computational results are almost identical with experimental results.

Full Eulerian Finite Element Analysis of Pressure-Sensitive Adhesives

“…Recently, we proposed a visco-hyperelastic analysis scheme [4] based on Eulerian finite element method [5] for the dynamics of PSAs. An Eulerian finite element method can treat arbitrarily large deformations and create new free surfaces in a natural manner in the spatially-fixed mesh [5].…”