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Antiplane problems of saturated ferromagnetoelastic solids

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Abstract

We study antiplane problems of saturated ferromagnetoelastic solids. Tiersten’s equations for saturated ferromagnetoelastic insulators under biasing fields are used. For antiplane problems of cubic crystals, coordinate-independent equations for the divergence and curl of the incremental magnetization vector are derived. Trigonometric series solutions for a rectangular body under a static and local mechanical load and the free vibration frequencies and modes of a rectangular body are obtained. The interactions between mechanical and magnetic fields are examined.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 12072167 and 11972199), the Zhejiang Provincial Natural Science Foundation of China (No. LZ22A020001), and the K. C. Wong Magana Fund through Ningbo University.

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Authors and Affiliations

  1. Smart Materials and Advanced Structures Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo, 315211, Zhejiang, China

    Qingguo Xia & Jianke Du

  2. Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, NE, 68588-0526, USA

    Jiashi Yang

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  1. Qingguo Xia
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  2. Jianke Du
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  3. Jiashi Yang
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Correspondence to Jianke Du.

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Xia, Q., Du, J. & Yang, J. Antiplane problems of saturated ferromagnetoelastic solids. Acta Mech 235, 533–541 (2024). https://doi.org/10.1007/s00707-023-03711-2

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