M. Kaliske et H. Rothert, FORMULATION AND IMPLEMENTATION OF 3-DIMENSIONAL VISCOELASTICITY AT SMALL AND FINITE STRAINS, Computational mechanics, 19(3), 1997, pp. 228-239
Purely elastic material models have a limited validity. Generally, a c
ertain amount of energy absorbing behaviour can be observed experiment
ally for nearly any material. A large class of dissipative materials i
s described by a time- and frequency-dependent viscoelastic constituti
ve model. Typical representatives of this type are polymeric rubber ma
terials. A linear viscoelastic approach at small and large strains is
described in detail and this makes a very efficient numerical formulat
ion possible. The underlying constitutive structure is the generalized
Maxwell-element. The derivation of the numerical model is given. It w
ill be shown that the developed isotropic algorithmic material tensor
is even valid for the current configuration in the case of large strai
ns. Aspects of evaluating experimental investigations as well as param
eter identification are considered. Finally, finite element simulation
s of time-dependent deformations of rubber structures using mixed elem
ents are presented.