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A theory of finite deformation magneto-viscoelasticity

Prashant Saxena, Mokarram Hossain Orcid Logo

International Journal of Solids and Structures, Volume: 50, Issue: 24, Pages: 3886 - 3897

Swansea University Author: Mokarram Hossain Orcid Logo

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DOI (Published version): 10.1016/j.ijsolstr.2013.07.024

Abstract

This paper deals with the mathematical modelling of large strain magneto-viscoelastic deformations. Energy dissipation is assumed to occur both due to the mechanical viscoelastic effects as well as the resistance offered by the material to magnetisation. Existence of internal damping mechanisms in t...

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Published in: International Journal of Solids and Structures
Published: 2013
URI: https://cronfa.swan.ac.uk/Record/cronfa39636
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Abstract: This paper deals with the mathematical modelling of large strain magneto-viscoelastic deformations. Energy dissipation is assumed to occur both due to the mechanical viscoelastic effects as well as the resistance offered by the material to magnetisation. Existence of internal damping mechanisms in the body is considered by decomposing the deformation gradient and the magnetic induction into ‘elastic’ and ‘viscous’ parts. Constitutive laws for material behaviour and evolution equations for the non-equilibrium fields are derived that agree with the laws of thermodynamics. To illustrate the theory the problems of stress relaxation, magnetic field relaxation, time dependent magnetic induction and strain are formulated and solved for a specific form of the constitutive law. The results, that show the effect of several modelling parameters on the deformation and magnetisation process, are illustrated graphically.
Keywords: Magneto-viscoelasticity, Nonlinear elasticity, Viscoelasticity
College: College of Engineering
Issue: 24
Start Page: 3886
End Page: 3897