磁界の周期的時間変動を受ける導体中空円筒の電磁熱弾性問題 : 一般化平面ひずみ条件による解析(OS3-8 先進材料の機能性発現,OS3 先端機能性構造材料の力学的挙動に関する数理解析とマルチスケールアナリシスへの進展)

抄録

In the present article, a theoretical treatment of magnetothermoelastic stresses and deformation by cyclic time variation of magnetic field is dealt with in a conducting hollow circular cylinder subjected to both internal heat generation due to eddy current loss and Lorentz force. Assuming that uniform magnetic field whose intensity varies sinusoidally in time acts on the hollow circular cylinder in the direction parallel to its outer surface, plane axisymmetrical magnetic field and the associated eddy current in the hollow circular cylinder due to electromagnetic induction have been formulated based on the theory of quasi-stationary electromagnetic field. Therefore, stresses and deformation in a conducting hollow circular cylinder, which are subjected to both plane axisymmetrical temperature change due to eddy current loss and Lorentz force, have been analyzed under generalized plane strain condition. Carrying out numerical calculations, we examine the effects of the frequency in cyclic variation of magnetic field on the electro-magnetic field and radius ratio of the hollow circular cylinder, current density, temperature change and stress and deformation in the hollow circular cylinder.