Fully anisotropic finite strain viscoelasticity based on a reverse multiplicative decomposition and logarithmic strains. (15th January 2016)

• Record Type: Journal Article
• Authors: Latorre, Marcos; Montáns, Francisco Javier
• Is Part Of: Computers & structures. Volume 163(2016)
• Page Start: 56
• Page End: 70
• Publication Date: 2016-01-15
• Subjects: Viscoelasticity -- Hyperelasticity -- Logarithmic strains -- Anisotropy -- Polymers -- Biological tissues; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2015.09.001
• Languages: English
• ISSNs: 0045-7949

Abstract

Highlights: We present a novel formulation for fully anisotropic finite strain viscoelasticity. It is based on a reversed multiplicative decomposition respect to Sidoroff's proposal. The stored energy includes anisotropic equilibrated and non-equilibrated addends. The viscosities employed in the formulation may also be anisotropic. Examples show applicability of the model to finite element simulations. 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.