A viscohyperelastic finite element model for rubber

A recently developed finite deformation internal solid theory for viscoelastic deformations of rubber is reviewed and an axisymmetric finite element implementation of the theory is presented. The theoretical model is a three-dimensional, total Lagrangian, finite deformation generalization of the Max...

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Vydané v:Computer methods in applied mechanics and engineering Ročník 127; číslo 1; s. 163 - 180
Hlavní autori: Johnson, A.R., Quigley, C.J., Freese, C.E.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Amsterdam Elsevier B.V 01.11.1995
Elsevier
Predmet:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Physics
Solid mechanics
Structural and continuum mechanics
Viscoelasticity, plasticity, viscoplasticity
Finite element method
Viscoelasticity
High strain
Three dimensional model
Stress relaxation
Cyclic load
Numerical method
Rubber
Dynamic load
Hyperelasticity
Internal pressure
ISSN:0045-7825, 1879-2138
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Popis
Shrnutí:A recently developed finite deformation internal solid theory for viscoelastic deformations of rubber is reviewed and an axisymmetric finite element implementation of the theory is presented. The theoretical model is a three-dimensional, total Lagrangian, finite deformation generalization of the Maxwell internal solid theory for viscoelasticity. It utilizes time dependent reference shapes for internal hyperelastic solids to approximate the viscous effects found in rubber and is called a viscohyperelastic model. The material constants for the sum of the internal solids' hyperelastic energy functions can be found by performing the classical tensile, biaxial and shear tests as step-strain tests. A nearly incompressible finite element version of the theory is presented. The viscous equations of motion are solved with a predictor-corrector integration scheme. Time dependent pressure loads are applied to the interior of both a thick walled rubber cylinder and sphere to numerically demonstrate the viscohyperelastic finite element algorithm.
ISSN:0045-7825
1879-2138
DOI:10.1016/0045-7825(95)00833-4