大应变下的磁弹性薄膜
Magnetoelastic thin films at large strains
摘要：
本文从三维背景出发，利用Γ-收敛技巧导出了磁弹性薄膜的极限模型。由于磁化矢量的弹性变形配置上定义，我们的模型功能拉格朗日和欧拉条款。这就要求在内射性方面限定平面域的容许三维变形。此外，需要仔细处理变形膜中的麦克斯韦系统。
英文摘要：
Starting from the three-dimensional setting, we derive a limit model of a thin magnetoelastic film by means of Γ-convergence techniques. As magnetization vectors are defined on the elastically deformed configuration, our model features both Lagrangian and Eulerian terms. This calls for qualifying admissible three-dimensional deformations of planar domains in terms of injectivity. In addition, a careful treatment of the Maxwell system in the deformed film is required.
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