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Strain-mediated propagation of magnetic domain-walls in cubic magnetostrictive materials

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Abstract

The role played by magnetoelastic effects on the properties exhibited by magnetic domain walls propagating along the major axis of a thin magnetostrictive nanostrip, coupled mechanically with a thick piezoelectric actuator, is theoretically investigated. The magnetostrictive layer is assumed to be a linear elastic material belonging to the cubic crystal classes \(\bar{4}\)3m, 432 and m\(\bar{3}\)m and to undergo isochoric magnetostrictive deformations. The analysis is carried out in the framework of the extended Landau–Lifshitz–Gilbert equation, which allows to describe, at the mesoscale, the spatio-temporal evolution of the local magnetization vector driven by magnetic fields and electric currents, in the presence of magnetoelastic and magnetocrystalline anisotropy fields. Through the traveling-wave transformation, the explicit expression of the key features involved in both steady and precessional regimes is provided and a qualitative comparison with data from the literature is also presented.

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Acknowledgements

The results contained in the present paper have been partially presented in WASCOM 2019. This manuscript is dedicated to Prof. G. Toscani and Prof. M. Sugiyama on the occasion of their 70 years. This work has been supported by INdAM-GNFM [GC, GV], MIUR (Italian Ministry of Education, University and Research) through Project PRIN2017 No. 2017YBKNCE, “Multiscale phenomena in Continuum Mechanics: singular limits, off-equilibrium and transitions” [GC, GV], and NSERC (Natural Sciences and Engineering Research Council of Canada) trough the NSERC Discovery Grant No. RGPIN-2015-06027 [SF].

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Authors and Affiliations

  1. Department of Mathematical, Computer, Physical and Earth Sciences, University of Messina, V.le F. Stagno D’Alcontres 31, Vill. S.Agata, 98166, Messina, Italy

    G. Consolo

  2. Department of Mechanical and Manufacturing Engineering, The University of Calgary, Calgary, AB, T2N 1N4, Canada

    S. Federico

  3. Department of Engineering, University of Messina, Contrada di Dio, Vill. S. Agata, 98166, Messina, Italy

    G. Valenti

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  1. G. Consolo
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Correspondence to G. Consolo.

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Consolo, G., Federico, S. & Valenti, G. Strain-mediated propagation of magnetic domain-walls in cubic magnetostrictive materials. Ricerche mat 70, 81–97 (2021). https://doi.org/10.1007/s11587-020-00484-x

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  • DOI: https://doi.org/10.1007/s11587-020-00484-x

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