Abstract
In this paper we investigate the modeling of chemo-physical evolution due to thermo-mechanical loadings at finite strain in soft materials. In particular we discuss the question of a proper and consistent thermodynamical formulation in the case of nearly incompressible materials. The objective of this phenomenological modeling is to represent the thermo–chemo-mechanical aging that occurs in filled rubbers during high-cycle fatigue for some specific loading conditions.
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Notes
Depending on the process considered, chemical evolution can lead to shrinkage or expansion.
Internal variables evolutions are assumed to be independent from each other.
For free hydrostatic pressure conditions, no chemical reactions are assumed to occur if \(\varTheta <\varTheta_{\mathit{ind}}\).
Macaulay brackets are defined by \(\langle f\rangle=f\) if \(f>0\) and \(\langle f\rangle =0\) otherwise.
As we consider constant hydrostatic tests, the dilatation amplitude \(\lambda \) does not explicitly depend on time but only on \(\xi , \varTheta ,p\).
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Lejeunes, S., Eyheramendy, D., Boukamel, A. et al. A constitutive multiphysics modeling for nearly incompressible dissipative materials: application to thermo–chemo-mechanical aging of rubbers. Mech Time-Depend Mater 22, 51–66 (2018). https://doi.org/10.1007/s11043-017-9351-2
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DOI: https://doi.org/10.1007/s11043-017-9351-2