In this investigation, a computational analysis is conducted to study a magneto-thermoelastic problem for an isotropic perfectly conducting half-space medium. The medium is subjected to a periodic heat flow in the presence of a continuous longitude magnetic field. Based on Moore–Gibson–Thompson equation, a new generalized model has been investigated to address the considered problem. The introduced model can be formulated by combining the Green–Naghdi Type III and Lord–Shulman models. Eringen’s non-local theory has also been applied to demonstrate the effect of thermoelastic materials which depends on small scale. Some special cases as well as previous thermoelasticity models are deduced from the presented approach. In the domain of the Laplace transform, the system of equations is expressed and the problem is solved using state space method. The converted physical expressions are numerically reversed by Zakian’s computational algorithm. The analysis indicates the significant influence on field variables of non-local modulus and magnetic field with larger values. Moreover, with the established literature, the numerical results are satisfactorily examined.

在这项研究中，进行了计算分析，以研究各向同性完美传导的半空间介质的磁热弹性问题。在连续的经度磁场的作用下，介质会经历周期性的热流。基于Moore–Gibson–Thompson方程，已经研究了一种新的广义模型来解决所考虑的问题。可以通过结合Green–Naghdi III型模型和Lord–Shulman模型来制定引入的模型。Eringen的非局部理论也已被用于证明热弹性材料的效果，该效果取决于小规模。从所提出的方法中推导了一些特殊情况以及以前的热弹性模型。在拉普拉斯变换的范围内，表达方程组并使用状态空间方法解决问题。转换后的物理表达式通过Zakian的计算算法进行数值反转。分析表明，较大值对非局部模量和磁场的场变量有显着影响。此外，根据已有的文献，数值结果得到了令人满意的检验。