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

[EN] 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...

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Bibliographic Details
Authors: Latorre, Marcos|||0000-0003-4142-0207, Montáns, Francisco Javier
Format: article
Publication Date:2016
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/191442
Online Access:https://riunet.upv.es/handle/10251/191442
Access Level:Open access
Keyword:Viscoelasticity
Hyperelasticity
Logarithmic strains
Anisotropy
Polymers
Biological tissues
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Description
Summary:[EN] 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. (C) 2015 Elsevier Ltd. All rights reserved.