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Article Dans Une Revue European Journal of Mechanics - A/Solids Année : 2024

A comparison of finite strain viscoelastic models based on the multiplicative decomposition

Résumé

The constitutive equations of several finite strain viscoelastic models, based on the multiplicative decomposition of the deformation gradient tensor and written in a thermodynamically consistent framework, are reviewed to demonstrate their similarities and differences. The proposed analysis shows that dissipation formulations, which may appear different, are similar when formulated in the same configuration, allowing the definition of a unified general model. Then, the general model 's ability to reproduce the main features of the behavior of rubbers is explored. First, by comparing its responses to the ones of finite linear viscoelastic models commonly implemented in commercial finite element codes. Cases of monotonic uniaxial tension and simple shear, relaxation, and sinusoidal simple shear are considered. Second, by confronting a classic generalized Maxwell rheological scheme to a Zener one with a non-constant viscosity and exploring the relevance of both options within the general model 's constitutive equations.
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Dates et versions

hal-04682698 , version 1 (30-08-2024)

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Citer

F. Gouhier, J. Diani. A comparison of finite strain viscoelastic models based on the multiplicative decomposition. European Journal of Mechanics - A/Solids, 2024, 108, pp.105424. ⟨10.1016/j.euromechsol.2024.105424⟩. ⟨hal-04682698⟩
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