Article
MSC:
35B40,
35D30,
35M33,
35Q60,
35Q74,
74B05,
78A25,
82D40 | MR 2800579 | Zbl 1224.35058 | DOI: 10.1007/s10492-011-0017-0
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Keywords:
magnetoelastic materials; Landau-Lifshitz-Gilbert equation; dimensional reduction
magnetoelastic materials; Landau-Lifshitz-Gilbert equation; dimensional reduction
Summary:
The paper deals with the dimensional reduction from 2D to 1D in magnetoelastic interactions. We adopt a simplified, but nontrivial model described by the Landau-Lifshitz-Gilbert equation for the magnetization field coupled to an evolution equation for the displacement. We identify the limit problem by using the so-called energy method.
References:
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