This paper focuses on the thermoelastic response of a non-simple solid cylinder with variable thermal conductivity due to a continuous line heat source. The solid is interspersed with a uniform magnetic field and magneto-thermoelastic interactions are studied under the purview of the dual-phase lag model. Laplace transform technique is utilized to get the exact expressions for the displacement, the temperature, and the thermal stress distributions. It is important to delve into the influence of the continuous line heat source in the thermoelastic process. Comparisons are made with results between different models of thermoelasticity. Numerical results are also performed for appropriate material to clarify the results.

本文重点研究由于连续线热源而具有可变热导率的非简单实心圆柱体的热弹性响应。在双相滞后模型的作用下，固体散布着均匀的磁场，并研究了磁热弹性相互作用。拉普拉斯变换技术用于获得位移，温度和热应力分布的精确表达式。重要的是要研究连续线热源在热弹性过程中的影响。比较不同热弹性模型之间的结果。还对适当的材料执行了数值结果以澄清结果。