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Development of a small-deformation material model for an isotropic magneto-active elastomer

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Abstract

In the present work, a continuum-based material model has been developed for an isotropic magneto-active elastomer (MAE) to investigate its behavior under small deformations. Firstly, the governing magneto-mechanical equations are formulated for the flexible magneto-active medium. Subsequently, a linearization scheme is used to construct constitutive equations for the small-deformation analysis of MAEs by expressing the magnetic parameters by two constituents involving the rigid-body and perturbation states. The material constants of the constitutive model are estimated from the experiments performed on a right cylindrical sample of a magneto-active material comprising the elastic matrix with 15% volume fraction of carbonyl iron particles.

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Acknowledgements

Support from the National Science and Engineering Research Council of Canada (NSERC) (Grant No. RGPIN/6696-2016) is gratefully acknowledged.

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Authors and Affiliations

  1. Department of Mechanical, Industrial and Aerospace Engineering, Concordia University, Montreal, QC, H3G 1M8, Canada

    Alireza Beheshti, Ramin Sedaghati & Subhash Rakheja

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  1. Alireza Beheshti
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  2. Ramin Sedaghati
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  3. Subhash Rakheja
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Correspondence to Ramin Sedaghati.

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Beheshti, A., Sedaghati, R. & Rakheja, S. Development of a small-deformation material model for an isotropic magneto-active elastomer. Acta Mech 231, 2287–2301 (2020). https://doi.org/10.1007/s00707-020-02647-1

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  • DOI: https://doi.org/10.1007/s00707-020-02647-1

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