Our present work is concerned with the study of a semi-infinitely long, conducting solid with a cavity in cylindrical form in the context of magneto-thermo-elastic diffusion with two-temperature and three-phase-lag effect. The medium we have considered here is supposed to be initially quiescent. The material is assumed to be made of an isotropic homogeneous thermo-elastic material and put in a magnetic field which is uniform and acted in the direction of the axis of the cylindrical cavity. The solution to the problem is done in Laplace transform domain. Inversion process is applied to obtain the solution in space time domain and finally illustrated graphically.

中文翻译：

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热载荷作用下圆柱腔半无限固体中二温度广义热弹性问题的电磁、热和扩散波分析

我们目前的工作涉及在具有两温度和三相滞后效应的磁热弹性扩散的背景下研究具有圆柱形空腔的半无限长导电固体。我们在这里考虑的介质最初应该是静止的。假设材料由各向同性的均质热弹性材料制成，并置于均匀的磁场中，并作用在圆柱腔的轴线方向上。该问题的解决方案是在拉普拉斯变换域中完成的。应用反演过程获得时空域的解，最后以图形方式说明。