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Finite deformation analysis of hard-magnetic soft materials based on micropolar continuum theory

Farzam Dadgar-Rad, Mokarram Hossain Orcid Logo

International Journal of Solids and Structures, Volume: 251, Start page: 111747

Swansea University Author: Mokarram Hossain Orcid Logo

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Abstract

Hard-magnetic soft materials (HMSMs), as a sub-class of magneto-active polymers, consist of apolymeric matrix filled with particles of high remnant magnetic induction. The application ofexternal magnetic flux on HMSMs induces a moment on its material particles. From the angularmomentum balance law,...

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Published in: International Journal of Solids and Structures
ISSN: 0020-7683
Published: Elsevier BV 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa60067
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spelling 2022-06-23T12:24:35.8067329 v2 60067 2022-05-24 Finite deformation analysis of hard-magnetic soft materials based on micropolar continuum theory 140f4aa5c5ec18ec173c8542a7fddafd 0000-0002-4616-1104 Mokarram Hossain Mokarram Hossain true false 2022-05-24 GENG Hard-magnetic soft materials (HMSMs), as a sub-class of magneto-active polymers, consist of apolymeric matrix filled with particles of high remnant magnetic induction. The application ofexternal magnetic flux on HMSMs induces a moment on its material particles. From the angularmomentum balance law, it is deduced that the Cauchy stress tensor in these materials cannotbe symmetric. Therefore, the micropolar continuum theory, with inherent asymmetric stresstensor, is a rational candidate for modeling the deformation of these materials. In the presentcontribution, an HMSM is modeled as a three-dimensional micropolar continuum body, which issubjected to external magnetic stimuli. The moment resulting from the interaction of the internaland external magnetic fluxes plays the role of a body couple in the micropolar formulation.After developing the main formulation, due to the highly nonlinear nature of the governingequations, the weak form of the equations and its linearization to perform numerical simulationsis presented. To demonstrate the capability and performance of the developed formulations,several examples are provided. It is shown that the present formulation can successfully predictthe deformation of HMSMs under various loading and boundary conditions. Journal Article International Journal of Solids and Structures 251 111747 Elsevier BV 0020-7683 Hard-magnetic soft materials, Micropolar continuum, Magneto-elasticity, Finite element method 1 9 2022 2022-09-01 10.1016/j.ijsolstr.2022.111747 COLLEGE NANME General Engineering COLLEGE CODE GENG Swansea University SU Library paid the OA fee (TA Institutional Deal) EPSRC - EP/S000747/1, EP/R511614/1. 2022-06-23T12:24:35.8067329 2022-05-24T10:33:26.4533506 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - General Engineering Farzam Dadgar-Rad 1 Mokarram Hossain 0000-0002-4616-1104 2 60067__24157__f2c12fdb941b4a16b36b6a265de0eea0.pdf 60067.pdf 2022-05-24T10:37:10.7342405 Output 764463 application/pdf Version of Record true © 2022 The Author(s). This is an open access article under the CC BY license true eng http://creativecommons.org/licenses/by/4.0/
title Finite deformation analysis of hard-magnetic soft materials based on micropolar continuum theory
spellingShingle Finite deformation analysis of hard-magnetic soft materials based on micropolar continuum theory
Mokarram Hossain
title_short Finite deformation analysis of hard-magnetic soft materials based on micropolar continuum theory
title_full Finite deformation analysis of hard-magnetic soft materials based on micropolar continuum theory
title_fullStr Finite deformation analysis of hard-magnetic soft materials based on micropolar continuum theory
title_full_unstemmed Finite deformation analysis of hard-magnetic soft materials based on micropolar continuum theory
title_sort Finite deformation analysis of hard-magnetic soft materials based on micropolar continuum theory
author_id_str_mv 140f4aa5c5ec18ec173c8542a7fddafd
author_id_fullname_str_mv 140f4aa5c5ec18ec173c8542a7fddafd_***_Mokarram Hossain
author Mokarram Hossain
author2 Farzam Dadgar-Rad
Mokarram Hossain
format Journal article
container_title International Journal of Solids and Structures
container_volume 251
container_start_page 111747
publishDate 2022
institution Swansea University
issn 0020-7683
doi_str_mv 10.1016/j.ijsolstr.2022.111747
publisher Elsevier BV
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 Hard-magnetic soft materials (HMSMs), as a sub-class of magneto-active polymers, consist of apolymeric matrix filled with particles of high remnant magnetic induction. The application ofexternal magnetic flux on HMSMs induces a moment on its material particles. From the angularmomentum balance law, it is deduced that the Cauchy stress tensor in these materials cannotbe symmetric. Therefore, the micropolar continuum theory, with inherent asymmetric stresstensor, is a rational candidate for modeling the deformation of these materials. In the presentcontribution, an HMSM is modeled as a three-dimensional micropolar continuum body, which issubjected to external magnetic stimuli. The moment resulting from the interaction of the internaland external magnetic fluxes plays the role of a body couple in the micropolar formulation.After developing the main formulation, due to the highly nonlinear nature of the governingequations, the weak form of the equations and its linearization to perform numerical simulationsis presented. To demonstrate the capability and performance of the developed formulations,several examples are provided. It is shown that the present formulation can successfully predictthe deformation of HMSMs under various loading and boundary conditions.
published_date 2022-09-01T04:13:37Z
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