Mathematical Analyses of Magneto-thermo Induced Vibration and Magneto-thermal Shock for Functional Inhomogeneous Conducting Structures

本研究旨在建立同时受到磁场周期或脉冲时间变化引起的涡流损耗和洛伦兹力作用的功能非均匀导电结构的磁热弹性问题的数学分析方法。此外，在数学分析结果的基础上，通过数值计算进行定量评价，试图阐明材料非均匀性对磁热弹性应力和变形的准静态行为以及磁热诱导振动和磁热冲击的动态响应的影响。

The present study intends to establish methods of mathematical analyses of magneto-thermo elastic problemsfor functional inhomogeneous conducting structures which are simultaneously subjected to eddy current loss and Lorentz force induced by cyclic or impulsive change in timeof magnetic field. Furthermore, conducting quantitative evaluation through numerical calculations based on the results of the mathematical analyses, elucidation of the effect of inhomogeneous material properties on quasi-static behaviors of magneto-thermo elastic stresses and deformations and dynamic responses of magneto-thermo induced vibration and magneto-thermal shock is attempted.