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首页> 外文期刊>International journal of applied electromagnetics and mechanics >The generalized electromagnetic-thermoelastic coupling problem of hollow cylindrical conductor based on the memory-dependent derivative
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The generalized electromagnetic-thermoelastic coupling problem of hollow cylindrical conductor based on the memory-dependent derivative

机译：基于内存依赖衍生物的中空圆柱导体的广义电磁热弹性耦合问题

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摘要

In present work, the transient responses of a hollow cylindrical conductor based on the generalized thermoelastic theory with memory-dependent derivative are investigated. The conductor with temperature-dependent mechanical properties is subjected to a thermal shock on its internal surface. The hollow cylindrical conductor is placed in a magnetic field along the axial direction of the cylinder. The effects of memory-dependent derivative and temperature-dependent properties influenced by the variable material property factors on the heat conduction and structural responses are emphatically discussed. The coupled governing equations containing time delay factors and kernel functions, which can be chosen freely according to specific problems, are solved by the Laplace transform together with its numerical inversion. The distributions of the non-dimensional induced electric field, induced magnetic field, hoop stress, radial stress, temperature and displacement at different values of time delay factors, kernel functions and variable material property factors are obtained and illustrated graphically. Finally, some conclusions are summed up, based upon which guidelines may be provided in the design of a hollow cylindrical conductor working in a thermo-mechanical coupling environment.
机译：在目前的工作中，研究了基于通过内存依赖性衍生物的广义热弹性理论的空心圆柱形导体的瞬态响应。将具有温度依赖性机械性能的导体对其内表面进行热冲击。中空圆柱形导体沿圆柱体的轴向置于磁场中。重点讨论了通过可变材料性能因子对热传导和结构响应影响的记忆依赖性衍生物和温度依赖性的影响。包含时间延迟因子和内核功能的耦合的控制方程，可以根据具体问题自由选择，由拉普拉斯变换与其数值反演一起解决。在不同的时间延迟因子，核功能和可变材料性能因子中获得不尺寸诱导的电场，诱导磁场，箍应力，径向应力，温度和位移的分布，并以图形方式得到核心。最后，总结了一些结论，基于该结论，基于该结论，基于该准则，可以在设计在热机械耦合环境中的空心圆柱形导体的设计中提供。

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