English

A cyclic stress softening model for the Mullins effect

Soft Condensed Matter 2020-05-19 v1

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

Keywords

Cite

@article{arxiv.2005.08556,
  title  = {A cyclic stress softening model for the Mullins effect},
  author = {S. R. Rickaby and N. H. Scott},
  journal= {arXiv preprint arXiv:2005.08556},
  year   = {2020}
}

Comments

25 pages, 16 figures

R2 v1 2026-06-23T15:37:06.797Z