Geometrical and different physical nonlinearities have to be taken into acc
ount in order to model elastomeric material. In the present contribution, a
novel approach of rubber elasticity is introduced. The approach considers
the topological constraints as well as the limited extensibility of network
chains in filled rubber. Subsequently, a formulation of finite viscoelasti
c damage is derived. With this description at hand. softening effects as we
ll as time and frequency dependency of the material can be characterized. T
he goal of the present paper is twofold. Firstly, the constitutive formulat
ions are introduced. Moreover. computational aspects are stressed. The show
n approaches are presented in a format ready for a finite element implement
ation. (C) 2001 Elsevier Science Ltd. All rights reserved.