论文标题
磁弹性薄膜
Magnetoelastic thin films at large strains
论文作者
论文摘要
从三维设置开始，我们通过γ-连接技术得出薄磁弹性膜的极限模型。由于磁化矢量是在弹性变形配置上定义的，因此我们的模型具有拉格朗日和欧拉术语。这要求根据注射率对平面域的可允许的三维变形。此外，需要在变形膜中仔细处理麦克斯韦系统。
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.
