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A pseudo-hyperelastic model incorporating the rate effects for isotropic rubber-like materials

Afshin Anssari-Benam, Mokarram Hossain Orcid Logo

Journal of the Mechanics and Physics of Solids, Volume: 179, Start page: 105347

Swansea University Author: Mokarram Hossain Orcid Logo

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DOI (Published version): 10.1016/j.jmps.2023.105347

Abstract

An alternative modelling framework is proposed for capturing the rate-dependency in the loading and unloading (i.e., with softening) deformation behaviour of a wide range of isotropic incompressible elastomers. The proposed framework departs from the existing approaches in the literature which assum...

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Published in: Journal of the Mechanics and Physics of Solids
ISSN: 0022-5096
Published: Elsevier BV 2023
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URI: https://cronfa.swan.ac.uk/Record/cronfa63607
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spelling v2 63607 2023-06-07 A pseudo-hyperelastic model incorporating the rate effects for isotropic rubber-like materials 140f4aa5c5ec18ec173c8542a7fddafd 0000-0002-4616-1104 Mokarram Hossain Mokarram Hossain true false 2023-06-07 GENG An alternative modelling framework is proposed for capturing the rate-dependency in the loading and unloading (i.e., with softening) deformation behaviour of a wide range of isotropic incompressible elastomers. The proposed framework departs from the existing approaches in the literature which assume an additive contribution of the ‘non-equilibrium’, or ‘viscous’, part to the elastic response. Instead, here it is considered that the model parameters of the basic hyperelastic function evolve (i.e., vary) with the deformation rate. That is, the basic hyperelastic model parameters are considered as functions of rate, given the deformation rate as a parameter and not a variable, pre-set in experiments. While the nature, and choice, of this functional dependency is empirical, a simple linear relationship is considered in this work between the parameters of a chosen basic hyperelastic model and the applied deformation rate. Using this specialisation, the model is applied to extant experimental data of a variety of elastomers including 3D-printed elastomeric polyurethane (EPU), dielectric elastomer VHB 4910, commercial 3D-printed silicone (SIL30) and filled rubber VitonTM specimens under uniaxial loading – unloading deformations at various rates. It is shown that the model favourably captures the considered datasets. The mathematical simplicity of the proposed modelling framework, comparatively lower number of model parameters, and the favourable modelling and predictive results suggest that the implementation and application of this modelling framework is efficient and tractable, and merit further consideration for modelling the rate-dependant mechanical behaviour of a wider range of rubber-like materials and loading modalities. Journal Article Journal of the Mechanics and Physics of Solids 179 105347 Elsevier BV 0022-5096 Rate-dependency, elastomers, constitutive modelling, softening, rate of deformation 1 10 2023 2023-10-01 10.1016/j.jmps.2023.105347 http://dx.doi.org/10.1016/j.jmps.2023.105347 COLLEGE NANME General Engineering COLLEGE CODE GENG Swansea University SU Library paid the OA fee (TA Institutional Deal) Swansea University 2023-09-05T11:49:31.5311134 2023-06-07T13:40:03.4144779 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Afshin Anssari-Benam 1 Mokarram Hossain 0000-0002-4616-1104 2 63607__28264__7028b403a80b48928d4216a0d23d9903.pdf 63607.VOR.pdf 2023-08-08T15:27:30.7249930 Output 1460667 application/pdf Version of Record true © 2023 The Author(s). Published by Elsevier Ltd. Distributed under the terms of a Creative Commons Attribution 4.0 License (CC BY 4.0). true eng https://creativecommons.org/licenses/by/4.0/
title A pseudo-hyperelastic model incorporating the rate effects for isotropic rubber-like materials
spellingShingle A pseudo-hyperelastic model incorporating the rate effects for isotropic rubber-like materials
Mokarram Hossain
title_short A pseudo-hyperelastic model incorporating the rate effects for isotropic rubber-like materials
title_full A pseudo-hyperelastic model incorporating the rate effects for isotropic rubber-like materials
title_fullStr A pseudo-hyperelastic model incorporating the rate effects for isotropic rubber-like materials
title_full_unstemmed A pseudo-hyperelastic model incorporating the rate effects for isotropic rubber-like materials
title_sort A pseudo-hyperelastic model incorporating the rate effects for isotropic rubber-like materials
author_id_str_mv 140f4aa5c5ec18ec173c8542a7fddafd
author_id_fullname_str_mv 140f4aa5c5ec18ec173c8542a7fddafd_***_Mokarram Hossain
author Mokarram Hossain
author2 Afshin Anssari-Benam
Mokarram Hossain
format Journal article
container_title Journal of the Mechanics and Physics of Solids
container_volume 179
container_start_page 105347
publishDate 2023
institution Swansea University
issn 0022-5096
doi_str_mv 10.1016/j.jmps.2023.105347
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
url http://dx.doi.org/10.1016/j.jmps.2023.105347
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description An alternative modelling framework is proposed for capturing the rate-dependency in the loading and unloading (i.e., with softening) deformation behaviour of a wide range of isotropic incompressible elastomers. The proposed framework departs from the existing approaches in the literature which assume an additive contribution of the ‘non-equilibrium’, or ‘viscous’, part to the elastic response. Instead, here it is considered that the model parameters of the basic hyperelastic function evolve (i.e., vary) with the deformation rate. That is, the basic hyperelastic model parameters are considered as functions of rate, given the deformation rate as a parameter and not a variable, pre-set in experiments. While the nature, and choice, of this functional dependency is empirical, a simple linear relationship is considered in this work between the parameters of a chosen basic hyperelastic model and the applied deformation rate. Using this specialisation, the model is applied to extant experimental data of a variety of elastomers including 3D-printed elastomeric polyurethane (EPU), dielectric elastomer VHB 4910, commercial 3D-printed silicone (SIL30) and filled rubber VitonTM specimens under uniaxial loading – unloading deformations at various rates. It is shown that the model favourably captures the considered datasets. The mathematical simplicity of the proposed modelling framework, comparatively lower number of model parameters, and the favourable modelling and predictive results suggest that the implementation and application of this modelling framework is efficient and tractable, and merit further consideration for modelling the rate-dependant mechanical behaviour of a wider range of rubber-like materials and loading modalities.
published_date 2023-10-01T11:49:33Z
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