A numerical framework for the simulation of coupled electromechanical growth

Li, Zhanfeng; Kadapa, Chennakesava; Hossain, Mokarram; Wang, Jiong

doi:10.1016/j.cma.2023.116128

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A numerical framework for the simulation of coupled electromechanical growth

Zhanfeng Li, Chennakesava Kadapa

, Mokarram Hossain

, Jiong Wang

Computer Methods in Applied Mechanics and Engineering, Volume: 414, Start page: 116128

Swansea University Authors: Chennakesava Kadapa , Mokarram Hossain

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DOI (Published version): 10.1016/j.cma.2023.116128

Abstract

Electro-mechanical response exists in growing materials such as biological tissues and hydrogels, inﬂuencing the growth process, pattern formation and geometry remodelling. To gain a better un-derstanding of the mechanism of the coupled eﬀects of growth and electric ﬁelds on the deformation behaviou...

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Published in:	Computer Methods in Applied Mechanics and Engineering
ISSN:	0045-7825
Published:	Elsevier BV 2023
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To gain a better un-derstanding of the mechanism of the coupled eﬀects of growth and electric ﬁelds on the deformation behaviour, a ﬁnite element framework for coupled electro-elastic growth is established. Based on the extended volume growth theory, the governing equations of the growing electro-elastic solid are obtained. A coupled three-ﬁeld mixed displacement-pressure-potential ﬁnite element formulation using inf-sup stable combinations is adapted. The ﬁnite element formulation is implemented in ABAQUS via a user element subroutine. The implementation is validated ﬁrst by comparing the deformation and stress components of a growing tubular structure under axial strain and radial voltage. Using the example of a bi-layer beam actuator, it is illustrated that growth parameters and the external voltage can precisely control the bending angle. The framework is then applied to simulate pattern formation and transition behaviour, such as doubling and tripling of wrinkles, by specifying growth parameters and external voltage in a 3D stiﬀ ﬁlm/soft substrate structure. Furthermore, the suppression of wrinkles by applying external voltage is demonstrated. It is observed that the electric ﬁeld plays a signiﬁcant role in stress redistribution and guiding growth, resulting in the promotion or suppression of wrinkles, which is demonstrated by the numerical simulation of a long tubular structure. 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spelling	v2 63460 2023-05-16 A numerical framework for the simulation of coupled electromechanical growth de01927f8c2c4ad9dcc034c327ac8de1 0000-0001-6092-9047 Chennakesava Kadapa Chennakesava Kadapa true false 140f4aa5c5ec18ec173c8542a7fddafd 0000-0002-4616-1104 Mokarram Hossain Mokarram Hossain true false 2023-05-16 SCS Electro-mechanical response exists in growing materials such as biological tissues and hydrogels, inﬂuencing the growth process, pattern formation and geometry remodelling. To gain a better un-derstanding of the mechanism of the coupled eﬀects of growth and electric ﬁelds on the deformation behaviour, a ﬁnite element framework for coupled electro-elastic growth is established. Based on the extended volume growth theory, the governing equations of the growing electro-elastic solid are obtained. A coupled three-ﬁeld mixed displacement-pressure-potential ﬁnite element formulation using inf-sup stable combinations is adapted. The ﬁnite element formulation is implemented in ABAQUS via a user element subroutine. The implementation is validated ﬁrst by comparing the deformation and stress components of a growing tubular structure under axial strain and radial voltage. Using the example of a bi-layer beam actuator, it is illustrated that growth parameters and the external voltage can precisely control the bending angle. The framework is then applied to simulate pattern formation and transition behaviour, such as doubling and tripling of wrinkles, by specifying growth parameters and external voltage in a 3D stiﬀ ﬁlm/soft substrate structure. Furthermore, the suppression of wrinkles by applying external voltage is demonstrated. It is observed that the electric ﬁeld plays a signiﬁcant role in stress redistribution and guiding growth, resulting in the promotion or suppression of wrinkles, which is demonstrated by the numerical simulation of a long tubular structure. The proposed ﬁnite element scheme provides an accurate, eﬃcient and stable tool for numerical simulation of electro-elastic solids incorporating growth eﬀect, which can be used for understanding coupled growth phenomenon in biological soft matter and developing smart devices for medical treatment Journal Article Computer Methods in Applied Mechanics and Engineering 414 116128 Elsevier BV 0045-7825 Electro-elasticity, Differential growth, Shape-programming, Mixed formulation, Finite element analysis 1 9 2023 2023-09-01 10.1016/j.cma.2023.116128 http://dx.doi.org/10.1016/j.cma.2023.116128 COLLEGE NANME Computer Science COLLEGE CODE SCS Swansea University SU Library paid the OA fee (TA Institutional Deal) National Natural Science Foundation of China (Project No.:11872184). China Scholarship Council (CSC) Grant #202106150121. EPSRC through the Supergen ORE Hub (EP/S000747/1), who have awarded funding for the Flexible Fund project Submerged bi-axial fatigue analysis for exible membrane Wave Energy Converters (FF2021-1036). 2023-06-27T17:13:44.5418575 2023-05-16T09:44:11.5695271 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Zhanfeng Li 1 Chennakesava Kadapa 0000-0001-6092-9047 2 Mokarram Hossain 0000-0002-4616-1104 3 Jiong Wang 0000-0002-8822-3596 4 63460__27741__5341cb23299c4f2794327c8888f54bf7.pdf 63460.vor.pdf 2023-06-07T11:53:39.6895279 Output 7572569 application/pdf Version of Record true © 2023 The Author(s). Published by Elsevier B.V. Distributed under the terms of a Creative Commons Attribution 4.0 License (CC BY 4.0). true eng http://creativecommons.org/licenses/by/4.0/
title	A numerical framework for the simulation of coupled electromechanical growth
spellingShingle	A numerical framework for the simulation of coupled electromechanical growth Chennakesava Kadapa Mokarram Hossain
title_short	A numerical framework for the simulation of coupled electromechanical growth
title_full	A numerical framework for the simulation of coupled electromechanical growth
title_fullStr	A numerical framework for the simulation of coupled electromechanical growth
title_full_unstemmed	A numerical framework for the simulation of coupled electromechanical growth
title_sort	A numerical framework for the simulation of coupled electromechanical growth
author_id_str_mv	de01927f8c2c4ad9dcc034c327ac8de1 140f4aa5c5ec18ec173c8542a7fddafd
author_id_fullname_str_mv	de01927f8c2c4ad9dcc034c327ac8de1_*_Chennakesava Kadapa 140f4aa5c5ec18ec173c8542a7fddafd_*_Mokarram Hossain
author	Chennakesava Kadapa Mokarram Hossain
author2	Zhanfeng Li Chennakesava Kadapa Mokarram Hossain Jiong Wang
format	Journal article
container_title	Computer Methods in Applied Mechanics and Engineering
container_volume	414
container_start_page	116128
publishDate	2023
institution	Swansea University
issn	0045-7825
doi_str_mv	10.1016/j.cma.2023.116128
publisher	Elsevier BV
college_str	Faculty of Science and Engineering
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department_str	School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
url	http://dx.doi.org/10.1016/j.cma.2023.116128
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description	Electro-mechanical response exists in growing materials such as biological tissues and hydrogels, inﬂuencing the growth process, pattern formation and geometry remodelling. To gain a better un-derstanding of the mechanism of the coupled eﬀects of growth and electric ﬁelds on the deformation behaviour, a ﬁnite element framework for coupled electro-elastic growth is established. Based on the extended volume growth theory, the governing equations of the growing electro-elastic solid are obtained. A coupled three-ﬁeld mixed displacement-pressure-potential ﬁnite element formulation using inf-sup stable combinations is adapted. The ﬁnite element formulation is implemented in ABAQUS via a user element subroutine. The implementation is validated ﬁrst by comparing the deformation and stress components of a growing tubular structure under axial strain and radial voltage. Using the example of a bi-layer beam actuator, it is illustrated that growth parameters and the external voltage can precisely control the bending angle. The framework is then applied to simulate pattern formation and transition behaviour, such as doubling and tripling of wrinkles, by specifying growth parameters and external voltage in a 3D stiﬀ ﬁlm/soft substrate structure. Furthermore, the suppression of wrinkles by applying external voltage is demonstrated. It is observed that the electric ﬁeld plays a signiﬁcant role in stress redistribution and guiding growth, resulting in the promotion or suppression of wrinkles, which is demonstrated by the numerical simulation of a long tubular structure. The proposed ﬁnite element scheme provides an accurate, eﬃcient and stable tool for numerical simulation of electro-elastic solids incorporating growth eﬀect, which can be used for understanding coupled growth phenomenon in biological soft matter and developing smart devices for medical treatment
published_date	2023-09-01T17:13:39Z
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score	11.012678

A numerical framework for the simulation of coupled electromechanical growth

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