A model for the Mullins effect during multicyclic equibiaxial loading

Rickaby, S. R. and Scott, N. H. (2013) A model for the Mullins effect during multicyclic equibiaxial loading. Acta Mechanica, 224 (9). pp. 1887-1900. ISSN 0001-5970

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Abstract

In this paper, we derive a model to describe the cyclic stress softening of a carbon-filled rubber vulcanizate through multiple stress–strain cycles with increasing values of the maximum strain, specializing to equibiaxial loading. Since the carbon-filled rubber vulcanizate is initially isotropic, we can show that following initial equibiaxial loading the material becomes transversely isotropic with preferred direction orthogonal to the plane defined by the equibiaxial loading. This is an example of strain-induced anisotropy. Accordingly, we derive nonlinear transversely isotropic models for the elastic response, stress relaxation, residual strain and creep of residual strain in order to model accurately the inelastic features associated with cyclic stress softening. These ideas are then combined with a transversely isotropic version of the Arruda–Boyce eight-chain model to develop a constitutive relation for the cyclic stress softening of a carbon-filled rubber vulcanizate. The model developed includes the effects of hysteresis, stress relaxation, residual strain and creep of residual strain. The model is found to compare extremely well with experimental data.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
University of East Anglia > Faculty of Science > Research Groups > Fluid and Solid Mechanics
Depositing User: Pure Connector
Date Deposited: 22 Jul 2013 17:14
Last Modified: 25 Jul 2018 08:31
URI: https://ueaeprints.uea.ac.uk/id/eprint/43030
DOI: 10.1007/s00707-013-0854-x

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