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Updated: May 31, 2026

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
Mathematical and numerical model for nonlinear viscoplasticity
1Université d'Aix-Marseille and C.N.R.S. U.M.R. 6595, IUSTI, Project SMASH, 5 rue Enrico Fermi, 13453 Marseille Cedex 13, France.
Abstract:
A macroscopic model describing elastic-plastic solids is derived in a special case of the internal specific energy taken in separable form: it is the sum of a hydrodynamic part depending only on the density and entropy, and a shear part depending on other invariants of the Finger tensor. In particular, the relaxation terms are constructed compatible with the von Mises yield criteria. In addition, Maxwell-type material behaviour is shown up: the deviatoric part of the stress tensor decays during plastic deformations. Numerical examples show the ability of this model to deal with real physical phenomena.
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