磁弹性力学中的线性化
Linearization in magnetoelasticity
AI总结：
本文从非线性磁弹性模型出发，严格推导出与已有标准模型一致的线性化模型，并用 $Γ$-收敛和极小值点收敛刻画两者关系。
摘要：
从非线性磁弹性模型出发，其中磁化定义在欧拉构型中，而弹性变形定义在拉格朗日构型中，我们严格推导出一个线性化模型，该模型与文献中已出现的标准模型一致，参见例如 DeSimone & James (2002)，其中零应力应变是磁化强度的二次函数。非线性模型与线性模型的关系以 $Γ$-收敛和极小值点收敛的形式陈述。
英文摘要：
Starting from a model of nonlinear magnetoelasticity where magnetization is defined in the Eulerian configuration while elastic deformation is in the Lagrangean one, we rigorously derive a linearized model that coincides with the standard one that already appeared in the literature, see, e.g., DeSimone \& James (2002) and where the zero-stress strain is quadratic in the magnetization. The relation of the nonlinear and linear model is stated in terms of the $Γ$-convergence and convergence of minimizers.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
