Domain structures and dynamics in Ferromagnetic shape memory materials: Theory and Experiment - Continuum models of magnetic shape memory materials: mathematics

在本计画中，我们将研究磁性形状记忆合金的连续模型。该项目的重点是在这些材料中微观结构和磁畴结构的中间尺度上发生的物理过程。这些结构内的转变过程是在宏观长度上产生大应变的原因，这可以通过外部磁场来实现。对应于不同的相关长度尺度，我们将考虑一个层次的静态和动态模型（和有相互关系），从唯象模型与众多参数的模型解决相关的畴壁轮廓。为了促进理论和实验的互动，该项目被构造为一个包的一部分，其其他部分包括McCord和Schäfer的实验研究。

In this project we will study continuum models of magnetic shape memory alloys. This project focuses on the physical processes that take place at the intermediate scale of microstructure and magnetic domain structures in these materials. The transformation processes within these structures are responsible for the large strains at macroscopic lengths that can be achieved by external magnetic fields. Corresponding to the different relevant length scales we will consider a hierarchy of static and dynamic models (and there interrelation), ranging from phenomenological models with finitely many parameters to models resolving the relevant domain wall profiles. To foster the interaction of theory and experiment this project is structured as part of a package whose other part consists of the experimental studies of McCord and Schäfer.