This is an attempt to design a dynamic model of nonlocal heat conduction in a nonlocal elastic bounded rod. This model is drafted using the Lord‐Shulman theory of generalized thermoelasticity due to the involvement of one relaxation time to the heat conduction equation and the equation of motion. This model is then employed to discuss the thermal behavior of the rod when subjected to a moving heat source. Both ends of the rod are assumed to be rigidly fixed and thermally insulated. Analytical solutions for the distribution of temperature, displacement and thermal stresses are obtained using integral transform in the Laplace transform technique is used to obtain the analytical solutions for the field variables such as temperature, displacement and stress. The inverse Laplace transform based on the Zakian method is used to invert the results in the space‐time domain. Specific attention is paid to study the effect of thermal nonlocal parameter and the velocity of the moving heat source on the distribution of the field variables.

中文翻译：

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非局部热导引起的非局部弹性杆的热弹性响应

这是尝试设计非局部弹性有界杆中非局部热传导的动力学模型的尝试。该模型是使用Lord-Shulman广义热弹性理论起草的，这是因为热传导方程和运动方程涉及一个松弛时间。然后，使用该模型讨论杆在受到热源移动时的热行为。假定杆的两端是刚性固定的，并且是隔热的。通过使用Laplace变换技术中的积分变换获得温度，位移和热应力分布的解析解，用于获得诸如温度，位移和应力等场变量的解析解。基于Zakian方法的拉普拉斯逆变换用于在时空域中对结果进行反演。要特别注意研究热非局部参数和移动热源的速度对场变量分布的影响。