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Towards a thermo-magneto-mechanical coupling framework for magneto-rheological elastomers / Markus Mehnert, Mokarram Hossain, Paul Steinmann

International Journal of Solids and Structures, Volume: 128, Pages: 117 - 132

Swansea University Author: Mokarram Hossain

Abstract

Magnetorheological elastomers (MREs) are a relatively new class of smart materials that can undergo large deformations resulting from external magnetic excitation. These are promising candidates in producing sensors and actuators. Due to their inherent chemical compositions, most polymeric materials...

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Published in: International Journal of Solids and Structures
ISSN: 0020-7683
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa35017
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first_indexed 2017-08-25T18:48:55Z
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spelling 2018-01-24T14:13:55.4895371 v2 35017 2017-08-25 Towards a thermo-magneto-mechanical coupling framework for magneto-rheological elastomers 140f4aa5c5ec18ec173c8542a7fddafd 0000-0002-4616-1104 Mokarram Hossain Mokarram Hossain true false 2017-08-25 GENG Magnetorheological elastomers (MREs) are a relatively new class of smart materials that can undergo large deformations resulting from external magnetic excitation. These are promising candidates in producing sensors and actuators. Due to their inherent chemical compositions, most polymeric materials are highly susceptible to temperature. While performing experiments on MREs that are exposed to magneto-mechanically coupled loads, maintaining a constant temperature profile is a non-trivial task for various reasons, e.g., i) experiments need to be performed in a temperature chamber that can maintain a prescribed temperature throughout a test, and ii) additional temperature gradients can be generated internally. In this paper, a thermo-magneto-mechanically coupled constitutive model is devised that is based on the total energy approach frequently used in MREs modelling and computation. Relevant constitutive equations are derived exploiting basic laws of thermodynamics that result in a thermodynamically consistent formulation. We demonstrate the performance of the proposed thermo-magneto-mechanically coupled framework with the help of two non-homogeneous boundary value problems. In both problems an axisymmetric cylindrical tube is deformed under thermo-magneto-mechanically coupled loads. In the first example the mechanical deformation is a combination of axial stretch and radial inflation whereas in the second example the cylinder is put under a mechanical load of torsion around the cylinder axis combined with an axial stretch. In both examples a circumferential magnetic field and a radial temperature gradient are applied. The results capture various thermo-magneto-mechanical couplings with the formulation proposed for MRE. Journal Article International Journal of Solids and Structures 128 117 132 0020-7683 Magneto-elasticity; Magneto-thermo-mechanical coupled problem; Nonlinear elasticity; Thermo-mechanical couplings 1 12 2017 2017-12-01 10.1016/j.ijsolstr.2017.08.022 COLLEGE NANME General Engineering COLLEGE CODE GENG Swansea University 2018-01-24T14:13:55.4895371 2017-08-25T13:12:55.3706309 College of Engineering Engineering Markus Mehnert 1 Mokarram Hossain 0000-0002-4616-1104 2 Paul Steinmann 3 0035017-25082017131530.pdf mehnert2017.pdf 2017-08-25T13:15:30.3570000 Output 1154863 application/pdf Accepted Manuscript true 2018-08-24T00:00:00.0000000 true eng
title Towards a thermo-magneto-mechanical coupling framework for magneto-rheological elastomers
spellingShingle Towards a thermo-magneto-mechanical coupling framework for magneto-rheological elastomers
Mokarram, Hossain
title_short Towards a thermo-magneto-mechanical coupling framework for magneto-rheological elastomers
title_full Towards a thermo-magneto-mechanical coupling framework for magneto-rheological elastomers
title_fullStr Towards a thermo-magneto-mechanical coupling framework for magneto-rheological elastomers
title_full_unstemmed Towards a thermo-magneto-mechanical coupling framework for magneto-rheological elastomers
title_sort Towards a thermo-magneto-mechanical coupling framework for magneto-rheological elastomers
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 Solids and Structures
container_volume 128
container_start_page 117
publishDate 2017
institution Swansea University
issn 0020-7683
doi_str_mv 10.1016/j.ijsolstr.2017.08.022
college_str College of Engineering
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hierarchy_top_title College of Engineering
hierarchy_parent_id collegeofengineering
hierarchy_parent_title College of Engineering
department_str Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}Engineering
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description Magnetorheological elastomers (MREs) are a relatively new class of smart materials that can undergo large deformations resulting from external magnetic excitation. These are promising candidates in producing sensors and actuators. Due to their inherent chemical compositions, most polymeric materials are highly susceptible to temperature. While performing experiments on MREs that are exposed to magneto-mechanically coupled loads, maintaining a constant temperature profile is a non-trivial task for various reasons, e.g., i) experiments need to be performed in a temperature chamber that can maintain a prescribed temperature throughout a test, and ii) additional temperature gradients can be generated internally. In this paper, a thermo-magneto-mechanically coupled constitutive model is devised that is based on the total energy approach frequently used in MREs modelling and computation. Relevant constitutive equations are derived exploiting basic laws of thermodynamics that result in a thermodynamically consistent formulation. We demonstrate the performance of the proposed thermo-magneto-mechanically coupled framework with the help of two non-homogeneous boundary value problems. In both problems an axisymmetric cylindrical tube is deformed under thermo-magneto-mechanically coupled loads. In the first example the mechanical deformation is a combination of axial stretch and radial inflation whereas in the second example the cylinder is put under a mechanical load of torsion around the cylinder axis combined with an axial stretch. In both examples a circumferential magnetic field and a radial temperature gradient are applied. The results capture various thermo-magneto-mechanical couplings with the formulation proposed for MRE.
published_date 2017-12-01T03:49:04Z
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