MATHEMATICAL MODELS ARISING FROM A SURVEY OF FERROMAGNETIC MATERIALS UNDER MAGNETISATION

Abstract

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.

Key words: sinusoidal magnetic field, ferromagnetic material, mechanical behavior, mathematical model

2010 MSC Number:

TB535

GU Xiao-an;ZENG Jin;SHEN Rong-ying. MATHEMATICAL MODELS ARISING FROM A SURVEY OF FERROMAGNETIC MATERIALS UNDER MAGNETISATION. Applied Mathematics and Mechanics (English Edition), 2004, 25(9): 1065-1074.

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MATHEMATICAL MODELS ARISING FROM A SURVEY OF FERROMAGNETIC MATERIALS UNDER MAGNETISATION

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