This work presents the development of a 2D nonlinear magnetoelastic framework for a thin membrane undergoing large deformations. An asymptotic $O(h)$ theory is obtained, starting from the 3D variational magnetostatic and force balance equations for a weakly magnetizable material, using the approach described by Steigmann. The model is subsequently specialized to axisymmetry and applied to a pre-stretched annular membrane deforming under azimuthal magnetic field and transverse pressure loading. Parametric studies are performed by varying the pre-stretch, magnetic field, and transverse pressure inputs.

中文翻译：

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放置在方位磁场中的磁弹性环形膜的建模与分析

这项工作提出了一个二维非线性磁弹性框架，用于经历大变形的薄膜。渐近的$Ø（H）$使用Steigmann所描述的方法，从3D可变磁化材料的静磁和力平衡方程开始，获得了理论。该模型随后专门用于轴对称，并应用于在方位磁场和横向压力载荷作用下预拉伸的环形膜变形。参数研究是通过改变预拉伸，磁场和横向压力输入来进行的。