磁弹性薄膜的准静态降维演化
Quasistatic evolution of magnetoelastic thin films via dimension reduction
摘要：
提出并分析了磁弹性薄膜准静态演化的速率无关模型。从三维的设置，我们提出了一个进化的$Γ$收敛参数，以通过限制在一个材料尺寸。通过同时考虑保守作用和耗散作用，得到了一个速率无关型的非线性演化系统。通过近似证明了该系统的{ \it能量解}的存在性。
英文摘要：
A rate-independent model for the quasistatic evolution of a magnetoelastic thin film is advanced and analyzed. Starting from the three-dimensional setting, we present an evolutionary $Γ$-convergence argument in order to pass to the limit in one of the material dimensions. By taking into account both conservative and dissipative actions, a nonlinear evolution system of rate-independent type is obtained. The existence of so-called {\it energetic solutions} to such system is proved via approximation.
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