A cyclic stress softening model for the Mullins effect

Stephen Rickaby, Nigel Scott

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)111-120
Number of pages10
JournalInternational Journal of Solids and Structures
Issue number1
Early online date14 Sep 2012
Publication statusPublished - 1 Jan 2013

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