The objective of this paper is to study plane wave propagation in a homogeneous isotropic nonlocal magneto-thermoelastic medium under the effect of Hall current applied to multi-dual-phase lag heat transfer. For a 2-D assumed model, three types of coupled longitudinal waves (quasi-longitudinal, quasi-transverse and quasi-thermal) exist. The wave characteristics, such as phase velocity, specific loss, attenuation coefficients, energy ratios, penetration depth and amplitude ratios of transmitted and reflected waves, are computed numerically and depicted graphically. The energy ratios have been calculated by taking the ratio of the share of energy in the different scattered waves to the incident wave. The impact of nonlocal parameter and Hall current parameter has been represented graphically by taking different values. Some particular cases have also been discussed.

本文的目的是研究在霍尔电流作用下应用于多双相滞后传热的均匀各向同性非局域磁热弹性介质中的平面波传播。对于二维假设模型，存在三种类型的耦合纵波（准纵向、准横向和准热）。波的特性，如相速度、特定损耗、衰减系数、能量比、穿透深度和透射波和反射波的振幅比，都可以通过数值计算并以图形方式描述。能量比是通过将不同散射波中的能量份额与入射波的比值来计算的。非局部参数和霍尔电流参数的影响已通过采用不同的值以图形方式表示。