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Modelling the residually stressed magneto-electrically coupled soft elastic materials

M.H.B.M. Shariff, Mokarram Hossain Orcid Logo, R. Bustamante, J. Merodio

International Journal of Non-Linear Mechanics, Volume: 137, Start page: 103802

Swansea University Author: Mokarram Hossain Orcid Logo

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Abstract

Residual stresses may exist in different finitely deformed soft multifunctional materials such as in electro-active and magneto-active polymers. In order to develop accurate constitutive frameworks of these smart materials experiencing electro-magneto-mechanically coupled loads, the presence of resi...

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Published in: International Journal of Non-Linear Mechanics
ISSN: 0020-7462
Published: Elsevier BV 2021
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa57559
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Abstract: Residual stresses may exist in different finitely deformed soft multifunctional materials such as in electro-active and magneto-active polymers. In order to develop accurate constitutive frameworks of these smart materials experiencing electro-magneto-mechanically coupled loads, the presence of residual stresses needs to be considered on the onset of the model development. In this contribution, a spectral constitutive equation for finite strain magneto-electric soft material bodies with residual stresses is developed using spectral invariants, where each spectral invariant has a clear physical meaning. A prototype total energy function comprising of single-variable functions is proposed; a single-variable function that depends on an invariant with a direct meaning is easily handled and is experimentally attractive. Results of some boundary value problems are given.
Keywords: Residual stress, Magneto-electro-mechanical coupling, Magneto-mechanical coupling, Electro-mechanical coupling, Magneto-active materials, Electro-active materials
College: Faculty of Science and Engineering
Start Page: 103802