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

铁磁形状记忆材料的磁畴结构和动力学：理论与实验 - 磁性形状记忆材料的连续体模型：数学

• 批准号: 28320868
• 负责人: Professor Dr. Stefan Müller
• 金额: --
• 依托单位: Max-Planck-Institut für Mathematik in den Naturwissenschaften (MIS)
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2006
• 资助国家: 德国
• 起止时间: 2005-12-31 至 2014-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/28320868?language=en
• 关键词: Domain; structures; dynamics; Ferromagnetic; shape

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.

在本项目中，我们将研究磁性形状记忆合金的连续介质模型。本项目的重点是在这些材料的微结构和磁畴结构的中间尺度上发生的物理过程。这些结构内部的转变过程导致了宏观长度上的大应变，这可以通过外部磁场实现。对应于不同的相关长度尺度，我们将考虑静态和动态模型的层次结构(以及它们之间的相互关系)，从具有有限多个参数的唯象模型到解析相关磁区壁轮廓的模型。为了促进理论和实验的互动，这个项目被组织成一揽子计划的一部分，而一揽子计划的另一部分包括McCord和Schäfer的实验研究。