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Numerical modelling of thermo-electro-viscoelasticity with field-dependent material parameters

Markus Mehnert, Mokarram Hossain Orcid Logo, Paul Steinmann

International Journal of Non-Linear Mechanics, Volume: 106, Pages: 13 - 24

Swansea University Author: Mokarram Hossain Orcid Logo

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DOI (Published version): 10.1016/j.ijnonlinmec.2018.08.016

Abstract

In this contribution, we propose a mathematical framework and its numerical implementation for thermo-electro-viscoelasticity taking into account field-dependence of the relevant material parameters appearing in the constitutive model. Polymeric materials are typically viscoelastic and highly suscep...

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Published in: International Journal of Non-Linear Mechanics
ISSN: 0020-7462
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa43687
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first_indexed 2018-09-05T12:59:34Z
last_indexed 2018-10-22T19:14:38Z
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spelling 2018-10-22T16:17:40.4623137 v2 43687 2018-09-05 Numerical modelling of thermo-electro-viscoelasticity with field-dependent material parameters 140f4aa5c5ec18ec173c8542a7fddafd 0000-0002-4616-1104 Mokarram Hossain Mokarram Hossain true false 2018-09-05 GENG In this contribution, we propose a mathematical framework and its numerical implementation for thermo-electro-viscoelasticity taking into account field-dependence of the relevant material parameters appearing in the constitutive model. Polymeric materials are typically viscoelastic and highly susceptible to thermal fluctuations. Several experimental studies suggest that major material parameters appearing in a constitutive model of a thermo-electro-mechanically coupled problem evolve with respect to temperature as well as the applied electric field. Hence we propose a framework for the realistic modelling of polymeric materials under coupled thermo-electro-mechanical loads in which the temperature and electric field are not only considered as independent fields but also show an effect on the material parameters. Furthermore we present the numerical discretization of the coupled balance laws within the context of the finite element method. To demonstrate the performance of the proposed thermo-electro-mechanically coupled framework, several boundary value problems are solved numerically. Journal Article International Journal of Non-Linear Mechanics 106 13 24 0020-7462 1 11 2018 2018-11-01 10.1016/j.ijnonlinmec.2018.08.016 COLLEGE NANME General Engineering COLLEGE CODE GENG Swansea University 2018-10-22T16:17:40.4623137 2018-09-05T11:45:30.2079125 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - General Engineering Markus Mehnert 1 Mokarram Hossain 0000-0002-4616-1104 2 Paul Steinmann 3 0043687-05092018114845.pdf mehnert2018.pdf 2018-09-05T11:48:45.5530000 Output 1233498 application/pdf Accepted Manuscript true 2019-09-03T00:00:00.0000000 true eng
title Numerical modelling of thermo-electro-viscoelasticity with field-dependent material parameters
spellingShingle Numerical modelling of thermo-electro-viscoelasticity with field-dependent material parameters
Mokarram Hossain
title_short Numerical modelling of thermo-electro-viscoelasticity with field-dependent material parameters
title_full Numerical modelling of thermo-electro-viscoelasticity with field-dependent material parameters
title_fullStr Numerical modelling of thermo-electro-viscoelasticity with field-dependent material parameters
title_full_unstemmed Numerical modelling of thermo-electro-viscoelasticity with field-dependent material parameters
title_sort Numerical modelling of thermo-electro-viscoelasticity with field-dependent material parameters
author_id_str_mv 140f4aa5c5ec18ec173c8542a7fddafd
author_id_fullname_str_mv 140f4aa5c5ec18ec173c8542a7fddafd_***_Mokarram Hossain
author Mokarram Hossain
author2 Markus Mehnert
Mokarram Hossain
Paul Steinmann
format Journal article
container_title International Journal of Non-Linear Mechanics
container_volume 106
container_start_page 13
publishDate 2018
institution Swansea University
issn 0020-7462
doi_str_mv 10.1016/j.ijnonlinmec.2018.08.016
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 1
active_str 0
description In this contribution, we propose a mathematical framework and its numerical implementation for thermo-electro-viscoelasticity taking into account field-dependence of the relevant material parameters appearing in the constitutive model. Polymeric materials are typically viscoelastic and highly susceptible to thermal fluctuations. Several experimental studies suggest that major material parameters appearing in a constitutive model of a thermo-electro-mechanically coupled problem evolve with respect to temperature as well as the applied electric field. Hence we propose a framework for the realistic modelling of polymeric materials under coupled thermo-electro-mechanical loads in which the temperature and electric field are not only considered as independent fields but also show an effect on the material parameters. Furthermore we present the numerical discretization of the coupled balance laws within the context of the finite element method. To demonstrate the performance of the proposed thermo-electro-mechanically coupled framework, several boundary value problems are solved numerically.
published_date 2018-11-01T03:54:59Z
_version_ 1763752751415689216
score 11.012678

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