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Mathematical models arising from a survey of ferromagnetic materials under magnetisation

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Abstract

This paper focuses on mathematical models describing the mechanical behavior of ferromagnetic materials under magnetization. Through combination of the electromagnetic field theory with the theory of elastic mechanics, several nonlinear systems of fourth-order partial differential equations were deduced. By making further assumption, the first-order approximation of the above equations was established, of which the solutions are good enough for engineering application.

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Author information

Authors and Affiliations

  1. State Key Laboratory of Vibration, Shock and Noise, Shanghai Jiaotong University, 200030, Shanghai, P. R. China

    Gu Xiao-an Doctor & Shen Rong-ying

  2. Department of Mathematics, Shanghai Jiaotong University, 200030, Shanghai, P. R. China

    Zeng Jin

Authors
  1. Gu Xiao-an Doctor
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  2. Zeng Jin
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  3. Shen Rong-ying
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Corresponding author

Correspondence to Shen Rong-ying.

Additional information

Communicated by DAI Shi-qiang

Biographies: GUO Xiao-an (1969∼); SHEN Rong-ying

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Xiao-an, G., Jin, Z. & Rong-ying, S. Mathematical models arising from a survey of ferromagnetic materials under magnetisation. Appl Math Mech 25, 1065–1074 (2004). https://doi.org/10.1007/BF02438356

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  • DOI: https://doi.org/10.1007/BF02438356

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Chinese Library Classification

2000 Mathematics Subject Classification

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