S. Reese et P. Wriggers, A MATERIAL MODEL FOR RUBBER-LIKE POLYMERS EXHIBITING PLASTIC-DEFORMATION - COMPUTATIONAL ASPECTS AND A COMPARISON WITH EXPERIMENTAL RESULTS, Computer methods in applied mechanics and engineering, 148(3-4), 1997, pp. 279-298
A finite element formulation is derived, which accounts for materials
exhibiting plastic flow after large elastic deformation. Such material
behaviour can be observed, for example, in certain kinds of rubber us
eful in practical situations due to their high tensile strength and re
sistance to aging. For these materials, then, both the elastic and pla
stic behaviour must be described by a non-linear material model. Becau
se of this, the return mapping algorithm used in this work requires th
e solution of several non-linear equations in every Gauss point, which
is carried out here via Newton iteration. The fitting of the material
model to experimental results demonstrates the necessity of incoporat
ing finite elasticity into the material model in order to successfully
account for the observed material behaviour. The conseqence of using
an oversimplified elastic material model is demonstrated by means of e
xamples.