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A micropolar shell model for hard‐magnetic soft materials

Farzam Dadgar‐Rad Orcid Logo, Mokarram Hossain Orcid Logo

International Journal for Numerical Methods in Engineering, Volume: 124, Issue: 8

Swansea University Author: Mokarram Hossain Orcid Logo

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DOI (Published version): 10.1002/nme.7188

Abstract

Hard-magnetic soft materials (HMSMs) are particulate composites that particles with high coercivity are dispersed in a soft matrix. Since applying the magnetic loading induces a body couple in HMSMs, the resulting Cauchy stress is predicted to be asymmetric. Therefore, the micropolar continuum theor...

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Published in: International Journal for Numerical Methods in Engineering
ISSN: 0029-5981 1097-0207
Published: Wiley 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa62158
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first_indexed 2022-12-12T09:52:22Z
last_indexed 2023-01-21T04:12:13Z
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spelling v2 62158 2022-12-12 A micropolar shell model for hard‐magnetic soft materials 140f4aa5c5ec18ec173c8542a7fddafd 0000-0002-4616-1104 Mokarram Hossain Mokarram Hossain true false 2022-12-12 GENG Hard-magnetic soft materials (HMSMs) are particulate composites that particles with high coercivity are dispersed in a soft matrix. Since applying the magnetic loading induces a body couple in HMSMs, the resulting Cauchy stress is predicted to be asymmetric. Therefore, the micropolar continuum theory can be employed to capture the deformation of these materials. On the other hand, the geometries and structures made of HMSMs often possess small thickness compared to the overall dimensions of the body. Accordingly, in the present contribution, a 10-parameter micropolar shell formulation to model the finite elastic deformation of thin hard-magnetic soft structures under magnetic stimuli is developed. The proposed shell formulation allows for using three-dimensional constitutive laws without any need for modification to apply the plane stress assumption in thin structures. A nonlinear finite element formulation is also presented for the numerical solution of the governing equations. To alleviate the locking phenomenon, the enhanced assumed strain method is employed. Several examples are presented that demonstrate the performance and effectiveness of the proposed formulation. Journal Article International Journal for Numerical Methods in Engineering 124 8 Wiley 0029-5981 1097-0207 magneto-elasticity, micropolar, 10-parameter shell model, HMSM, FEM 16 12 2022 2022-12-16 10.1002/nme.7188 COLLEGE NANME General Engineering COLLEGE CODE GENG Swansea University SU Library paid the OA fee (TA Institutional Deal) Engineering and Physical SciencesResearch Council, Grant/Award Number:EP/R511614/1; Supergen ORE Hub,Grant/Award Number: EP/S000747/1;Flexible Fund project Submerged bi-axialfatigue analysis for flexible membraneWave Energy Converters, Grant/AwardNumber: FF2021-1036 2023-06-12T16:38:51.4974639 2022-12-12T09:50:08.5694922 Faculty of Science and Engineering Farzam Dadgar‐Rad 0000-0003-1546-2446 1 Mokarram Hossain 0000-0002-4616-1104 2 62158__26130__e83950305d164d9e83b9677c4fd4384f.pdf 62158.pdf 2022-12-28T14:41:48.9455590 Output 3604024 application/pdf Version of Record true © 2022 The Authors. This is an open access article under the terms of the Creative Commons Attribution License true eng http://creativecommons.org/licenses/by/4.0/
title A micropolar shell model for hard‐magnetic soft materials
spellingShingle A micropolar shell model for hard‐magnetic soft materials
Mokarram Hossain
title_short A micropolar shell model for hard‐magnetic soft materials
title_full A micropolar shell model for hard‐magnetic soft materials
title_fullStr A micropolar shell model for hard‐magnetic soft materials
title_full_unstemmed A micropolar shell model for hard‐magnetic soft materials
title_sort A micropolar shell model for hard‐magnetic soft materials
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 for Numerical Methods in Engineering
container_volume 124
container_issue 8
publishDate 2022
institution Swansea University
issn 0029-5981
1097-0207
doi_str_mv 10.1002/nme.7188
publisher Wiley
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
document_store_str 1
active_str 0
description Hard-magnetic soft materials (HMSMs) are particulate composites that particles with high coercivity are dispersed in a soft matrix. Since applying the magnetic loading induces a body couple in HMSMs, the resulting Cauchy stress is predicted to be asymmetric. Therefore, the micropolar continuum theory can be employed to capture the deformation of these materials. On the other hand, the geometries and structures made of HMSMs often possess small thickness compared to the overall dimensions of the body. Accordingly, in the present contribution, a 10-parameter micropolar shell formulation to model the finite elastic deformation of thin hard-magnetic soft structures under magnetic stimuli is developed. The proposed shell formulation allows for using three-dimensional constitutive laws without any need for modification to apply the plane stress assumption in thin structures. A nonlinear finite element formulation is also presented for the numerical solution of the governing equations. To alleviate the locking phenomenon, the enhanced assumed strain method is employed. Several examples are presented that demonstrate the performance and effectiveness of the proposed formulation.
published_date 2022-12-16T16:38:49Z
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