Article,
Formulation and implementation of three-dimensional viscoelasticity at small and finite strains
COMPUTATIONAL MECHANICS, 19 (3): 228-239 (February 1997)
DOI: {10.1007/s004660050171}
Abstract
Purely elastic material models have a limited validity. Generally, a
certain amount of energy absorbing behaviour can be observed
experimentally for nearly any material. A large class of dissipative
materials is described by a time- and frequency-dependent viscoelastic
constitutive model. Typical representatives of this type are polymeric
rubber materials. A linear viscoelastic approach at small and large
strains is described in detail and this makes a very efficient numerical
formulation possible. The underlying constitutive structure is the
generalized Maxwell-element. The derivation of the numerical model is
given. It will be shown that the developed isotropic algorithmic
material tensor is even valid for the current configuration in the case
of large strains. Aspects of evaluating experimental investigations as
well as parameter identification are considered. Finally, finite element
simulations of time-dependent deformations of rubber structures using
mixed elements are presented.
