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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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first_indexed 2018-04-30T13:54:35Z
last_indexed 2018-04-30T13:54:35Z
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spelling 2018-04-30T10:52:32.2393392 v2 39636 2018-04-30 A theory of finite deformation magneto-viscoelasticity 140f4aa5c5ec18ec173c8542a7fddafd 0000-0002-4616-1104 Mokarram Hossain Mokarram Hossain true false 2018-04-30 GENG 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. Journal Article International Journal of Solids and Structures 50 24 3886 3897 Magneto-viscoelasticity, Nonlinear elasticity, Viscoelasticity 1 11 2013 2013-11-01 10.1016/j.ijsolstr.2013.07.024 COLLEGE NANME General Engineering COLLEGE CODE GENG Swansea University 2018-04-30T10:52:32.2393392 2018-04-30T10:51:00.6495746 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - General Engineering Prashant Saxena 1 Mokarram Hossain 0000-0002-4616-1104 2
title A theory of finite deformation magneto-viscoelasticity
spellingShingle A theory of finite deformation magneto-viscoelasticity
Mokarram Hossain
title_short A theory of finite deformation magneto-viscoelasticity
title_full A theory of finite deformation magneto-viscoelasticity
title_fullStr A theory of finite deformation magneto-viscoelasticity
title_full_unstemmed A theory of finite deformation magneto-viscoelasticity
title_sort A theory of finite deformation magneto-viscoelasticity
author_id_str_mv 140f4aa5c5ec18ec173c8542a7fddafd
author_id_fullname_str_mv 140f4aa5c5ec18ec173c8542a7fddafd_***_Mokarram Hossain
author Mokarram Hossain
author2 Prashant Saxena
Mokarram Hossain
format Journal article
container_title International Journal of Solids and Structures
container_volume 50
container_issue 24
container_start_page 3886
publishDate 2013
institution Swansea University
doi_str_mv 10.1016/j.ijsolstr.2013.07.024
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - General Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - General Engineering
document_store_str 0
active_str 0
description 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.
published_date 2013-11-01T03:50:23Z
_version_ 1763752461601865728
score 11.037056

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