The current work is concerned with the study of wave propagation in a half-space of a piezo-thermoelastic material under a bias tangential magnetic field within dual-phase-lag (DPL). This is relevant to the design and performance of piezoelectric devices working under a bias magnetic field, for example, the DC magnetic field piezoelectric sensors widely used in various areas of technology. The characteristic time for the problem under consideration is in the range of picoseconds, which is comparable to the thermal relaxation times in many metals. Exact analytic expressions for the mechanical displacement, temperature, stress, electric potential, electric displacement, electric current and induced magnetic field are obtained using normal mode analysis. Plots are provided and discussed for rather large intensities of the magnetic field. Comparison is carried out between the results predicted by DPL and Lord–Shulman theory (LS) in the presence or absence of magnetic field. The presented results clearly indicate that the effect of magnetic field is more pronounced for LS than for DPL. It was found that for magnetic field intensities of \(10^7\) Tesla, both theories give almost identical results. Beyond this threshold value, sensible deviations between the theories start to appear and grow with the intensity of the magnetic field. In connection with experimental measurements, the present investigation may help in calculating numerical values of different material parameters and in assessing the efficiency of the two considered theories.

当前的工作是关于在双相滞后（DPL）内的偏置切向磁场下压电热弹性材料的半空间中波传播的研究。这与在偏置磁场下工作的压电设备的设计和性能有关，例如，在各种技术领域中广泛使用的DC磁场压电传感器。正在考虑的问题的特征时间在皮秒范围内，与许多金属的热弛豫时间相当。使用正态分析获得了机械位移，温度，应力，电势，电位移，电流和感应磁场的精确解析表达式。提供并讨论了相当大的磁场强度图。在存在或不存在磁场的情况下，将DPL和Lord–Shulman理论（LS）预测的结果进行比较。给出的结果清楚地表明，与DPL相比，LS的磁场影响更为明显。发现对于磁场强度为\（10 ^ 7 \）  Tesla，两种理论给出的结果几乎相同。超过此阈值，理论之间的合理偏差开始出现并随着磁场强度的增加而增大。结合实验测量，本研究可能有助于计算不同材料参数的数值并评估两种考虑的理论的效率。