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

TL;DR

This paper introduces a new anisotropic finite visco-hyperelasticity model using a reversed multiplicative decomposition and logarithmic strains, enabling better representation of anisotropic viscous effects.

Contribution

It presents a novel reversed multiplicative decomposition for anisotropic viscoelasticity combined with logarithmic strains, enhancing modeling capabilities over previous approaches.

Findings

Model captures anisotropic viscous effects more accurately.

Examples demonstrate improved performance compared to existing models.

Enhanced ability to simulate complex anisotropic behaviors.

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.