Abstract

In the present work, the 2D problem of a magneto-micropolar thermoelastic medium in the context of the dual-phase-lag model with the frame of the memory-dependent derivative is established. Normal mode analysis and an eigenvalue expansion technique are used to solve the resulting non-dimensional coupled governing equations. The variations of the physical quantities with the vertical distance are illustrated graphically. The effects of the time-delay parameter, magnetic field, rotation, and the variable thermal conductivity on the variations of different field quantities inside the half-space are analyzed graphically.

中文翻译：

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可变热导率作用下微极性热弹性介质中依赖记忆的导数框架研究

摘要

在目前的工作中，建立了在具有依赖于记忆的导数的双相滞后模型的背景下，磁微极性热弹性介质的二维问题。使用法线模式分析和特征值展开技术来求解所得的无量纲耦合控制方程。物理量随垂直距离的变化用图形表示。通过图形分析了时间延迟参数，磁场，旋转和可变的热导率对半空间内不同场量变化的影响。