The present work deals with a study of thermal shock response in magneto thermoelastic medium based on memory dependent derivative under the purview of coupled theory, Lord-Shulman theory and Green–Lindsay theory of generalized thermoelasticity. By implementing the eigenfunction expansion method, the analytical results for the temperature field, displacement and stresses are obtained in the Laplace-Fourier transform domain. The inversions of Laplace and Fourier transform are executed, applying Honig Hirdes method and Gaussian quadrature formula. Some comparison study is equipped for the displacements, temperature and thermal stress distributions in the space–time domain and is exhibited graphically. The results indicate that the presence of memory dependent derivative, the effect of thermal shock, magnetic field, time delay parameter and different forms of kernel function on the thermoelastic medium is very significant.

目前的工作涉及在耦合理论、Lord-Shulman 理论和广义热弹性的 Green-Lindsay 理论的范围内基于记忆相关导数的磁热弹性介质中的热冲击响应研究。通过实施本征函数展开法，在拉普拉斯-傅里叶变换域中得到了温度场、位移和应力的解析结果。应用 Honig Hirdes 方法和高斯求积公式执行拉普拉斯和傅里叶变换的反演。一些比较研究配备了时空域中的位移、温度和热应力分布，并以图形方式展示。结果表明存在记忆依赖导数、热冲击、磁场、