Starting from the three-dimensional setting, we derive a limit model of a thin magnetoelastic film by means of \(\varGamma \)-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.

中文翻译：

---

大应变下的磁弹性薄膜

从三维设置开始，我们通过\(\varGamma\) -收敛技术推导出磁弹性薄膜的极限模型。由于磁化矢量是在弹性变形配置上定义的，我们的模型具有拉格朗日和欧拉项。这需要在注入性方面对平面域的可接受的三维变形进行限定。此外，需要对变形薄膜中的麦克斯韦系统进行仔细处理。