Theoretical Analysis of Transient Thermoelastic Problem of Solid Structure due to the Coupling Effects of Magnetic Field and Unsteady Temperature Change

磁场与非稳态温度变化耦合作用下固体结构瞬态热弹性问题的理论分析

• 批准号: 09650114
• 负责人: TANIGAWA Yoshinobu
• 金额: $ 2.05万
• 依托单位: Osaka Prefecture University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1997
• 资助国家: 日本
• 起止时间: 1997 至 1998
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09650114/
• 关键词: Elasticity; Thermal Stress; Magnetothermoelasticity; Thermal Shock; Infinite Plate; Infinite Solid Cylinder; Maxwell Stress; Magnetically Induced Elastic Stress

In this research project, the thermoelastic behaviors for structural elements subject to the uniformly distributed magnetic field are treated theoretically, and the coupling effects of thermoelastic field and magnetic field on the deformation and stresses are discussed. As for the analytical models, we considered a plate subject to the action of the magnetic field, which is uniformly distributed in the parallel direction with the longitudinal one of the plate, furthermore, a solid cylinder subject to the actions of the magnetic field uniformly distributed in the parallel or the perpendicular direction of the axis of the cylinder. And we assumed that these models are suddenly heated from the surrounding medium. We now supposed that the material property of the plate and the cylinder are composed of ferromagnetic material and paramagnetic one. For the analytical developments, the coupling term between the temperature field and the elastic field is considered, however, the inertia term of … More the elastic field is neglected because the effect is insignificant. We have carried out the numerical calculations for several cases taking into account the variations of uniformly distributed magnetic field, and the results obtained from the numerical data are summarized as follows.1. For the non-ferromagnetic (paramagnetic) materials, the influences of the disturbance of the magnetic field due to the thermal deformation affected on the stress distribution, and the Maxwell stress distribution due to the action of the magnetic field can be seen significantly. Moreover, for the ferromagnetic materials, the magnetically induced stresses due to the induced magnetization in accordance with the above-mentioned stresses for the paramagnetic materials can be seen more significantly.2. It can be seen, from the numerical results of the cylinder, that the elastic behavior maintain axisymmetrically when the magnetic field is acted in the parallel direction with the axis of the cylinder, however, the deformation is changed into the non-axisymmetrical one when the magnetic field is acted perpendicularly with the axis of the cylinder.3. As for the effect of the magnetic field on the stress distribution, it is found that the magnetically induced stress distribution is insignificant compared with the thermoelastic stresses when the uniformly distributed magnetic field is 1 tesla. However, when the magnetic field acts more strongly such as 100 or 1000 tesla, the magnetically induced stresses are significantly appeared in comparison with the thermoelastic stresses. Less

本文从理论上研究了均匀磁场作用下结构元件的热弹性行为，讨论了热弹性场和磁场的耦合作用对变形和应力的影响。对于解析模型，我们考虑了平行于板纵向方向均匀分布的磁场作用下的板，以及平行于或垂直于圆柱轴线方向均匀分布的磁场作用下的实心圆柱。我们假设这些模型突然受到周围介质的加热。我们假设平板和圆柱的材料性质是由铁磁材料和顺磁材料组成的。对于分析的发展，考虑了温度场和弹性场之间的耦合项，然而， ...更多信息 弹性场被忽略，因为其影响是微不足道的。我们对几种考虑均匀分布磁场变化的情况进行了数值计算，从数值数据中得到的结果总结如下.对于非铁磁性（顺磁性）材料，热变形引起的磁场扰动对应力分布的影响，以及磁场作用下的麦克斯韦应力分布都很明显。此外，对于铁磁材料，由于感应磁化引起的磁感应应力与上述顺磁材料的应力一致，可以更加明显地看出.从数值计算结果可以看出，当磁场作用在平行于圆柱轴线的方向上时，圆柱的弹性行为保持轴对称，而当磁场作用在垂直于圆柱轴线的方向上时，圆柱的变形变为非轴对称.至于磁场对应力分布的影响，当均匀磁场为1特斯拉时，磁致应力的分布与热弹性应力相比并不显著。然而，当磁场作用更强时，例如100或1000特斯拉，与热弹性应力相比，磁致应力显著地出现。少

项目成果

S. Mayumi: "Coupled Thermal Shock Problem of an Infinite Plate under Magnetic Field"Proc. of Conf. of Materials & Mechanics Division of JSME. Vol. A, No. 940-37. 72-73 (1994)

S. Mayumi：“磁场下无限板的耦合热冲击问题”Proc。

谷川義信: "磁場と温度場の連成作用を受ける平板の非定常熱応力解析"日本機械学会第74期通常総会講演会講演論文集. No.97-1 Vol.II. 428-429 (1997)

Yoshinobu Tanikawa：“磁场和温度场耦合作用下的平板的非稳态热应力分析”日本机械工程师学会第 74 届普通大会记录第 97-1 卷 428-429。 (1997)

Y. Tanigawa: "Coupled Thermal Stress Problems of a Plate subject to a an Influence of Magnetic Field"Proc. of 74ィイD1thィエD1 Annual Meeting of JSME. No.97-1, Vol. II. 428-429 (1997)

Y. Tanikawa：“受磁场影响的板的耦合热应力问题”，JSME 74D1thieD1 年会，第 97-1 卷，第 428-429 卷。

谷川義信: "強磁場環境下で熱衝撃を受ける円柱の連成熱応力問題"日本機械学会材料力学部門講演会講演論文集. Vol.B No.98-5. 371-372 (1998)

Yoshinobu Tanikawa：“在强磁场环境中受到热冲击的圆柱体的耦合热应力问题”日本机械工程学会材料力学系卷 B 号 371-372（1998 年）。 ）

Y. Tanigawa: "Coupled Thermal Stress Problems of a Solid Cylinder subject to a Thermal Shock in an Uniform Magnetic Field"Proc. of 12ィイD1thィエD1 Conf. of Computational Mechanics Division of JSME. No.99-5. 405-406 (1999)

Y. Tanikawa：“均匀磁场中热冲击下的固体圆柱体的耦合热应力问题”，JSME 计算力学部 12D1D1 会议，第 405 -406 号。