Mechanics of Time-Dependent Materials

, Volume 1, Issue 4, pp 357–396

Theoretical and Numerical Aspects in the Thermo-Viscoelastic Material Behaviour of Rubber-Like Polymers

  • Stefanie Reese
  • Sanjay Govindjee

DOI: 10.1023/A:1009795431265

Cite this article as:
Reese, S. & Govindjee, S. Mechanics of Time-Dependent Materials (1997) 1: 357. doi:10.1023/A:1009795431265


Most current models for finite deformation thermo-viscoelasticity are restricted to linear evolution laws for the viscous behaviour and to thermorheologically simple materials. In this paper, we extend a model for finite deformation viscoelasticity that utilizes a nonlinear evolution law to include thermal effects. In particular, we present a thermodynamically consistent framework for the model and give a detailed form for then on-equilibrium Helmholtz free energy of the material in terms of the isothermal free energy function. The use of the model in a computational setting is addressed and it is shown that an efficient predictor-correct oralgorithm can be used to integrate the evolution equation of the proposed constitutive model. The integration algorithm makes crucial use of the exponential map as has been done previously in elastoplasticity. Numerical examples are presented to show some interesting features of the new model.

finite element method large deformation thermo-viscoelasticity non-linear evolution law thermo-mechanical coupling phenomena time integration algorithm 

Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • Stefanie Reese
    • 1
  • Sanjay Govindjee
    • 2
  1. 1.Institut für MechanikTechnische Hochschule DarmstadtDarmstadtGermany
  2. 2.Structural Engineering, Mechanics and Materials, Department of Civil and Environmental EngineeringUniversity of California at BerkeleyBerkeleyU.S.A

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