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arXiv · 2005.08556

A cyclic stress softening model for the Mullins effect

S. R. Rickaby·N. H. Scott
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Abstract

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

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S. R. Rickaby, N. H. Scott. 2020-05-18. A cyclic stress softening model for the Mullins effect. https://doi.org/10.1016/j.ijsolstr.2012.09.006

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