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Finite deformation analysis of hard-magnetic soft materials based on micropolar continuum theory

Farzam Dadgar-Rad, Mokarram Hossain Orcid Logo

International Journal of Solids and Structures, Volume: 251, Start page: 111747

Swansea University Author: Mokarram Hossain Orcid Logo

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Abstract

Hard-magnetic soft materials (HMSMs), as a sub-class of magneto-active polymers, consist of apolymeric matrix filled with particles of high remnant magnetic induction. The application ofexternal magnetic flux on HMSMs induces a moment on its material particles. From the angularmomentum balance law,...

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Published in: International Journal of Solids and Structures
ISSN: 0020-7683
Published: Elsevier BV 2022
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa60067
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Abstract: Hard-magnetic soft materials (HMSMs), as a sub-class of magneto-active polymers, consist of apolymeric matrix filled with particles of high remnant magnetic induction. The application ofexternal magnetic flux on HMSMs induces a moment on its material particles. From the angularmomentum balance law, it is deduced that the Cauchy stress tensor in these materials cannotbe symmetric. Therefore, the micropolar continuum theory, with inherent asymmetric stresstensor, is a rational candidate for modeling the deformation of these materials. In the presentcontribution, an HMSM is modeled as a three-dimensional micropolar continuum body, which issubjected to external magnetic stimuli. The moment resulting from the interaction of the internaland external magnetic fluxes plays the role of a body couple in the micropolar formulation.After developing the main formulation, due to the highly nonlinear nature of the governingequations, the weak form of the equations and its linearization to perform numerical simulationsis presented. To demonstrate the capability and performance of the developed formulations,several examples are provided. It is shown that the present formulation can successfully predictthe deformation of HMSMs under various loading and boundary conditions.
Keywords: Hard-magnetic soft materials, Micropolar continuum, Magneto-elasticity, Finite element method
College: College of Engineering
Funders: EPSRC - EP/S000747/1, EP/R511614/1.
Start Page: 111747