Coupling of mechanical, thermal and magnetic fields attracts the scientific community due to its numerous applications in geophysics, engineering, structures, aeronautics etc. To study the magneto-thermo-mechanical-interactions caused by laser heat input inside an infinite half-space structure, current investigation address a new generalized thermoelastic model incorporating nonlocal Moore–Gibson–Thompson approach with memory-dependent derivatives. A heat transfer equation half-space media is being pronounced with the magnetic field. A heat transfer equation based on memory-dependent derivatives is formulated by Eringen’s assumptions of nonlocal impact. The closed form solutions for the half-space system are determined in the Laplace transform domain. The distributions of physical fields such as temperature, displacement, thermal stress and stain are obtained in physical domain by adopting an approximation algorithm. With the help of computational outcomes and the graphical figures, the effects of effective parameters such as non-singular kernel functions, time delay and nonlocal quantum are revealed on the variations of the field quantities. Further, in order to exhibit the attractiveness of the nonlocal MGT model, a comparison of the current thermal conductivity model with previously established nonlocal classical and nonlocal generalized thermal conductivity models is made through the graphical results.

机械场、热场和磁场耦合因其在地球物理学、工程、结构、航空等领域的广泛应用而吸引了科学界。为了研究无限半空间结构内激光热输入引起的磁热机械相互作用，目前的研究提出了一种新的广义热弹性模型，该模型将非局域摩尔-吉布森-汤普森方法与记忆相关导数相结合。半空间介质的传热方程用磁场来表示。基于记忆相关导数的传热方程由 Eringen 的非局部影响假设制定。半空间系统的封闭形式解在拉普拉斯变换域中确定。采用近似算法得到物理域中温度、位移、热应力、应变等物理场的分布。借助计算结果和图形，揭示了非奇异核函数、​​时滞和非局域量子等有效参数对场量变化的影响。此外，为了展示非局部MGT模型的吸引力，通过图形结果将当前热导率模型与先前建立的非局部经典和非局部广义热导率模型进行比较。