The axisymmetric problem in two-dimensional transversely isotropic magneto-thermoelastic (TIMT) solid due to inclined load with Green–Naghdi (GN)-III theory and two temperature (2T) has been studied. The Laplace and Hankel transform has been used to get the expressions of temperature distribution, displacement, and stress components with the horizontal distance in the physical domain. The effect of Green–Naghdi theories of type I, II, and III theories of thermoelasticity has been studied graphically on the resulting quantities. A special case for the magneto-thermoelastic isotropic medium has also been studied.

中文翻译：

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倾斜载荷作用下具有Green–Naghdi III的横观各向同性磁热弹性固体的轴对称变形

利用格林-纳格迪（GN）-III理论和二维温度（2T）研究了由于倾斜载荷而产生的二维横向各向同性磁热弹性（TIMT）固体中的轴对称问题。拉普拉斯和汉克尔变换已用于获得温度分布，位移和应力分量在物理域中具有水平距离的表达式。I，II和III型Green-Naghdi理论的热弹性理论对所得数量的影响已通过图形方式进行了研究。还研究了磁热弹性各向同性介质的特殊情况。