Enlightened by the Caputo fractional derivative, the present study deals with a novel mathematical model of generalized thermoelasticity to investigate the transient phenomena due to the influence of magnetic field and moving heat source in a rod in the context of dual-phase lag (DPL) theory of thermo-visco-elasticity. Both ends of the rod are fixed and heat insulated. Employing Laplace transform as a tool, the problem has been transformed into the space-domain and solved analytically. Finally, solutions in the real-time domain are obtained by applying the inverse Laplace transform. Numerical calculation for stress, displacement, and temperature within the rod is carried out and displayed graphically. The effect of moving heat source speed on temperature, stress, and displacement is studied. It is found from the distributions that the temperature, thermally induced displacement, and stress of the rod decrease at large source speed.

在Caputo分数阶导数的启发下，本研究针对广义热弹性的新型数学模型，研究了在双相滞后（DPL）理论背景下由于磁场和棒中移动热源的影响而引起的瞬态现象。热粘弹性。杆的两端是固定的并且是隔热的。通过使用拉普拉斯变换作为工具，该问题已被变换到空间域并通过分析得到解决。最后，通过应用拉普拉斯逆变换获得实时域中的解。进行杆内应力，位移和温度的数值计算，并以图形方式显示。研究了移动热源速度对温度，应力和位移的影响。从分布中发现温度