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A unified numerical approach for soft to hard magneto-viscoelastically coupled polymers

Chennakesava Kadapa Orcid Logo, Mokarram Hossain Orcid Logo

Mechanics of Materials, Volume: 166, Start page: 104207

Swansea University Authors: Chennakesava Kadapa Orcid Logo, Mokarram Hossain Orcid Logo

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Abstract

The last decade has witnessed the emergence of magneto-active polymers (MAPs) as one of the most advanced multi-functional soft composites. Depending on the magnetisation mechanisms and responsive behaviour, MAPs are mainly classified as hard magnetic MAPs and soft magnetic MAPs. Polymeric materials...

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Published in: Mechanics of Materials
ISSN: 0167-6636
Published: Elsevier BV 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa59179
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spelling 2022-10-31T19:56:27.4731963 v2 59179 2022-01-14 A unified numerical approach for soft to hard magneto-viscoelastically coupled polymers de01927f8c2c4ad9dcc034c327ac8de1 0000-0001-6092-9047 Chennakesava Kadapa Chennakesava Kadapa true false 140f4aa5c5ec18ec173c8542a7fddafd 0000-0002-4616-1104 Mokarram Hossain Mokarram Hossain true false 2022-01-14 SCS The last decade has witnessed the emergence of magneto-active polymers (MAPs) as one of the most advanced multi-functional soft composites. Depending on the magnetisation mechanisms and responsive behaviour, MAPs are mainly classified as hard magnetic MAPs and soft magnetic MAPs. Polymeric materials are widely treated as fully incompressible solids that require special numerical treatment to solve the associated boundary value problem. Furthermore, both soft and hard magnetic particles-filled soft polymers are inherently viscoelastic. In this paper, we propose a unified simulation framework for magneto-mechanically coupled problems that can model hard and soft MAPs made of compressible and fully incompressible polymers, including the effects of the time-dependent viscoelastic behaviour of the underlying matrix. First, variational formulations for the uncoupled and coupled problems are derived. Later, the weak forms are discretised with higher-order Bézier elements while the evolution equation for internal variables is solved using the generalised-alpha scheme. Finally, using a series of experimentally-driven examples consisting of beam and robotic gripper models under magneto-mechanically coupled loading, the versatility and benefits of the proposed framework are demonstrated. The effect of viscoelastic material parameters on the response characteristics of MAPs under coupled magneto-mechanical loading is also studied. Journal Article Mechanics of Materials 166 104207 Elsevier BV 0167-6636 Magneto-active polymers, Magneto-mechanically coupled problems, Viscoelasticity, Hard magnetics, Soft magnetics, Mixed formulation 1 3 2022 2022-03-01 10.1016/j.mechmat.2021.104207 COLLEGE NANME Computer Science COLLEGE CODE SCS Swansea University 2022-10-31T19:56:27.4731963 2022-01-14T14:56:45.8330445 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Chennakesava Kadapa 0000-0001-6092-9047 1 Mokarram Hossain 0000-0002-4616-1104 2 59179__22144__ffa14d201ac44180a2aaf87f4395b303.pdf 59179.pdf 2022-01-14T14:59:07.2224999 Output 3075715 application/pdf Accepted Manuscript true 2023-01-12T00:00:00.0000000 ©2022 All rights reserved. All article content, except where otherwise noted, is licensed under a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND) true eng https://creativecommons.org/licenses/by-nc-nd/4.0/
title A unified numerical approach for soft to hard magneto-viscoelastically coupled polymers
spellingShingle A unified numerical approach for soft to hard magneto-viscoelastically coupled polymers
Chennakesava Kadapa
Mokarram Hossain
title_short A unified numerical approach for soft to hard magneto-viscoelastically coupled polymers
title_full A unified numerical approach for soft to hard magneto-viscoelastically coupled polymers
title_fullStr A unified numerical approach for soft to hard magneto-viscoelastically coupled polymers
title_full_unstemmed A unified numerical approach for soft to hard magneto-viscoelastically coupled polymers
title_sort A unified numerical approach for soft to hard magneto-viscoelastically coupled polymers
author_id_str_mv de01927f8c2c4ad9dcc034c327ac8de1
140f4aa5c5ec18ec173c8542a7fddafd
author_id_fullname_str_mv de01927f8c2c4ad9dcc034c327ac8de1_***_Chennakesava Kadapa
140f4aa5c5ec18ec173c8542a7fddafd_***_Mokarram Hossain
author Chennakesava Kadapa
Mokarram Hossain
author2 Chennakesava Kadapa
Mokarram Hossain
format Journal article
container_title Mechanics of Materials
container_volume 166
container_start_page 104207
publishDate 2022
institution Swansea University
issn 0167-6636
doi_str_mv 10.1016/j.mechmat.2021.104207
publisher Elsevier BV
college_str Faculty of Science and Engineering
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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 Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
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description The last decade has witnessed the emergence of magneto-active polymers (MAPs) as one of the most advanced multi-functional soft composites. Depending on the magnetisation mechanisms and responsive behaviour, MAPs are mainly classified as hard magnetic MAPs and soft magnetic MAPs. Polymeric materials are widely treated as fully incompressible solids that require special numerical treatment to solve the associated boundary value problem. Furthermore, both soft and hard magnetic particles-filled soft polymers are inherently viscoelastic. In this paper, we propose a unified simulation framework for magneto-mechanically coupled problems that can model hard and soft MAPs made of compressible and fully incompressible polymers, including the effects of the time-dependent viscoelastic behaviour of the underlying matrix. First, variational formulations for the uncoupled and coupled problems are derived. Later, the weak forms are discretised with higher-order Bézier elements while the evolution equation for internal variables is solved using the generalised-alpha scheme. Finally, using a series of experimentally-driven examples consisting of beam and robotic gripper models under magneto-mechanically coupled loading, the versatility and benefits of the proposed framework are demonstrated. The effect of viscoelastic material parameters on the response characteristics of MAPs under coupled magneto-mechanical loading is also studied.
published_date 2022-03-01T04:08:35Z
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