  In this paper the inelastic features of stress relaxation, hysteresis and
residual strain are combined with the Arruda-Boyce eight-chain model of
elasticity, in order to develop a model that is capable of describing the
Mullins effect for cyclic stress-softening of an incompressible hyperelastic
material, in particular a carbon-filled rubber vulcanizate. We have been unable
to identify in the literature any other model that takes into consideration all
the above inelastic features of the cyclic stress-softening of carbon-filled
rubber. Our model compares favourably with experimental data and gives a good
description of stress-softening, hysteresis, stress relaxation, residual strain
and creep of residual strain. Keywords: Mullins effect, stress-softening,
hysteresis, stress relaxation, residual strain, creep of residual strain. MSC
codes: 74B20, 74D10, 74L1
