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arXiv · 2104.02192

Fully anisotropic finite strain viscoelasticity based on a reverse multiplicative decomposition and logarithmic strains

M. Latorre·F. J. Montans
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Abstract

In this paper we present a novel formulation for phenomenological anisotropic finite visco-hyperelasticity. The formulation is based on a multiplicative decomposition of the equilibrated deformation gradient into nonequilibrated elastic and viscous contributions. The proposal in this paper is a decomposition reversed respect to that from Sidoroff allowing for anisotropic viscous contributions. Independent anisotropic stored energies are employed for equilibrated and non-equilibrated parts. The formulation uses logarithmic strain measures in order to be teamed with spline-based hyperelasticity. Some examples compare the results with formulations that use the Sidoroff decomposition and also show the enhanced capabilities of the present model.

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M. Latorre, F. J. Montans. 2021-04-05. Fully anisotropic finite strain viscoelasticity based on a reverse multiplicative decomposition and logarithmic strains. https://doi.org/10.1016/j.compstruc.2015.09.001

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