Transversely isotropic cyclic stress-softening model for the Mullins effect
Abstract
This paper models stress softening during cyclic loading and unloading of an elastomer. The paper begins by remodelling the primary loading curve to include a softening function and goes on to derive non-linear transversely isotropic constitutive equations for the elastic response, stress relaxation, residual strain and creep of residual strain. These ideas are combined with a transversely isotropic version of the Arruda-Boyce eight-chain model to develop a constitutive relation that is capable of accurately representing the Mullins effect during cyclic stress-softening for a transversely isotropic, hyperelastic material, in particular a carbon-filled rubber vulcanizate. Keywords: Mullins effect, stress-softening, hysteresis, stress relaxation, residual strain, creep of residual strain, transverse isotropy. MSC codes: 74B20, 74D10, 74L15
Cite
@article{arxiv.2005.08563,
title = {Transversely isotropic cyclic stress-softening model for the Mullins effect},
author = {S. R. Rickaby and N. H. Scott},
journal= {arXiv preprint arXiv:2005.08563},
year = {2020}
}
Comments
17 pages, 4 figures. arXiv admin note: text overlap with arXiv:2005.08556