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A micropolar shell model for hard‐magnetic soft materials

Farzam Dadgar‐Rad Orcid Logo, Mokarram Hossain Orcid Logo

International Journal for Numerical Methods in Engineering

Swansea University Author: Mokarram Hossain Orcid Logo

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DOI (Published version): 10.1002/nme.7188

Abstract

Hard-magnetic soft materials (HMSMs) are particulate composites that particles with high coercivity are dispersed in a soft matrix. Since applying the magnetic loading induces a body couple in HMSMs, the resulting Cauchy stress is predicted to be asymmetric. Therefore, the micropolar continuum theor...

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Published in: International Journal for Numerical Methods in Engineering
ISSN: 0029-5981 1097-0207
Published: Wiley 2022
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa62158
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Abstract: Hard-magnetic soft materials (HMSMs) are particulate composites that particles with high coercivity are dispersed in a soft matrix. Since applying the magnetic loading induces a body couple in HMSMs, the resulting Cauchy stress is predicted to be asymmetric. Therefore, the micropolar continuum theory can be employed to capture the deformation of these materials. On the other hand, the geometries and structures made of HMSMs often possess small thickness compared to the overall dimensions of the body. Accordingly, in the present contribution, a 10-parameter micropolar shell formulation to model the finite elastic deformation of thin hard-magnetic soft structures under magnetic stimuli is developed. The proposed shell formulation allows for using three-dimensional constitutive laws without any need for modification to apply the plane stress assumption in thin structures. A nonlinear finite element formulation is also presented for the numerical solution of the governing equations. To alleviate the locking phenomenon, the enhanced assumed strain method is employed. Several examples are presented that demonstrate the performance and effectiveness of the proposed formulation.
Keywords: magneto-elasticity, micropolar, 10-parameter shell model, HMSM, FEM
College: Faculty of Science and Engineering
Funders: Engineering and Physical SciencesResearch Council, Grant/Award Number:EP/R511614/1; Supergen ORE Hub,Grant/Award Number: EP/S000747/1;Flexible Fund project Submerged bi-axialfatigue analysis for flexible membraneWave Energy Converters, Grant/AwardNumber: FF2021-1036