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Large viscoelastic deformation of hard-magnetic soft beams

Farzam Dadgar-Rad, Mokarram Hossain Orcid Logo

Extreme Mechanics Letters, Volume: 54, Start page: 101773

Swansea University Author: Mokarram Hossain Orcid Logo

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Abstract

This work aims at developing a viscoelastic formulation for the time-dependent finite deformation analysis of beams made of hard-magnetic soft materials (HMSMs) under magnetic loading. After introducing the basic kinematic quantities, a viscoelasticity formulation for the analysis of HMSMs is develo...

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Published in: Extreme Mechanics Letters
ISSN: 2352-4316
Published: Elsevier BV 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa59991
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spelling v2 59991 2022-05-10 Large viscoelastic deformation of hard-magnetic soft beams 140f4aa5c5ec18ec173c8542a7fddafd 0000-0002-4616-1104 Mokarram Hossain Mokarram Hossain true false 2022-05-10 GENG This work aims at developing a viscoelastic formulation for the time-dependent finite deformation analysis of beams made of hard-magnetic soft materials (HMSMs) under magnetic loading. After introducing the basic kinematic quantities, a viscoelasticity formulation for the analysis of HMSMs is developed, which is general in the sense that it can be used for 2D and 3D geometries beside the beam, plate, and shell-type structures. Next, the expression for the consistent fourth-order tangent tensors for 3D bodies and beams made of HMSMs are presented. Due to the highly nonlinear nature of the governing equations, a finite element formulation for the numerical solution of beam problems with various loading and boundary conditions is developed. To demonstrate the applicability of the developed formulation, several numerical examples are provided. It is observed that for the case of elastic deformations, the results of the present formulation are very close to those previously reported in the literature. For the case of viscoelastic deformations, the creep response of beams is simulated and the effect of viscoelastic parameters is studied. It is shown that the obtained results are qualitatively in agreement with the basic properties of viscoelastic deformations. Journal Article Extreme Mechanics Letters 54 101773 Elsevier BV 2352-4316 Hard-magnetic soft materials, Magneto-active polymers, Viscoelasticity, Magneto-elasticity, Finite deformations, Finite element method 1 7 2022 2022-07-01 10.1016/j.eml.2022.101773 COLLEGE NANME General Engineering COLLEGE CODE GENG Swansea University SU Library paid the OA fee (TA Institutional Deal) M.H. acknowledges the funding through an Engineering and Physical Sciences Research Council (EPSRC) Impact Acceleration Award (EP/R511614/1). 2022-09-06T11:40:04.6657900 2022-05-10T11:48:53.4823301 College of Engineering Engineering Farzam Dadgar-Rad 1 Mokarram Hossain 0000-0002-4616-1104 2 59991__24710__2f4738285d0e49768f6448cd24991ff7.pdf 59991.pdf 2022-07-22T12:19:59.3693843 Output 1005573 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 Large viscoelastic deformation of hard-magnetic soft beams
spellingShingle Large viscoelastic deformation of hard-magnetic soft beams
Mokarram Hossain
title_short Large viscoelastic deformation of hard-magnetic soft beams
title_full Large viscoelastic deformation of hard-magnetic soft beams
title_fullStr Large viscoelastic deformation of hard-magnetic soft beams
title_full_unstemmed Large viscoelastic deformation of hard-magnetic soft beams
title_sort Large viscoelastic deformation of hard-magnetic soft beams
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 Extreme Mechanics Letters
container_volume 54
container_start_page 101773
publishDate 2022
institution Swansea University
issn 2352-4316
doi_str_mv 10.1016/j.eml.2022.101773
publisher Elsevier BV
college_str College of Engineering
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hierarchy_top_id collegeofengineering
hierarchy_top_title College of Engineering
hierarchy_parent_id collegeofengineering
hierarchy_parent_title College of Engineering
department_str Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}Engineering
document_store_str 1
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description This work aims at developing a viscoelastic formulation for the time-dependent finite deformation analysis of beams made of hard-magnetic soft materials (HMSMs) under magnetic loading. After introducing the basic kinematic quantities, a viscoelasticity formulation for the analysis of HMSMs is developed, which is general in the sense that it can be used for 2D and 3D geometries beside the beam, plate, and shell-type structures. Next, the expression for the consistent fourth-order tangent tensors for 3D bodies and beams made of HMSMs are presented. Due to the highly nonlinear nature of the governing equations, a finite element formulation for the numerical solution of beam problems with various loading and boundary conditions is developed. To demonstrate the applicability of the developed formulation, several numerical examples are provided. It is observed that for the case of elastic deformations, the results of the present formulation are very close to those previously reported in the literature. For the case of viscoelastic deformations, the creep response of beams is simulated and the effect of viscoelastic parameters is studied. It is shown that the obtained results are qualitatively in agreement with the basic properties of viscoelastic deformations.
published_date 2022-07-01T11:40:00Z
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score 10.900257