Purpose

This study aims to examine the plane wave reflection problem in micropolar orthotropic magneto-thermoelastic half space, considering the influence of impedance as a boundary in a nonlocal elasticity.

Design/methodology/approach

This study presents the novel formulation of governing partial differential equations for micropolar orthotropic medium with impact of nonlocal thermo-elasticity under magnetic field.

Findings

This study provides the numerical results validation for a particular numerical data and expression for the amplitude ratios of reflected waves and identifies the existence of four different waves, namely, quasi longitudinal displacement qCLD-wave, quasi thermal wave qCT-wave, quasi transverse displacement qCTD-wave and quasi-transverse micro-rotational qCTM-wave. The study derives the velocity equation giving the speed and phase velocity of these waves. The study also shows that the small-scale size effect gives significant impact on phase velocity.

Research limitations/implications

The graphical analysis examines the variation of speeds and coefficients of attenuation of these waves due to frequency, magnetic field and nonlocal parameters. Also, significant conclusions on the variation of reflection coefficient against nonlocal parameter, frequency, impedance parameter and angle of incidence are provided graphically.

Practical implications

The creation of more effective micropolar orthotropic anisotropic materials which are very useful in the daily life and their applications in earth science are greatly impacted by the findings of this study.

Originality/value

The authors of the submitted document initiated and produced it collectively, with equal contributions from all members.

中文翻译：

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阻抗边界磁热弹性非局域微极性正交各向异性介质中波传播反射分析

 目的

本研究旨在研究微极正交各向异性磁热弹性半空间中的平面波反射问题，考虑阻抗作为非局部弹性边界的影响。

设计/方法论/途径

这项研究提出了磁场下受非局域热弹性影响的微极性正交各向异性介质控制偏微分方程的新公式。

 发现

本研究对特定数值数据和反射波振幅比表达式进行了数值结果验证，并确定了四种不同波的存在，即准纵向位移qCLD波、准热波qCT波、准横向位移qCTD波和准横向微旋转qCTM波。该研究推导了速度方程，给出了这些波的速度和相速度。研究还表明，小尺度尺寸效应对相速度有显着影响。

研究局限性/影响

图形分析检查这些波由于频率、磁场和非局部参数而导致的速度和衰减系数的变化。此外，还以图形方式提供了关于反射系数随非局部参数、频率、阻抗参数和入射角变化的重要结论。

 实际意义

这项研究的结果对创建更有效的微极性正交各向异性材料（这些材料在日常生活中非常有用）及其在地球科学中的应用产生了极大的影响。

 原创性/价值

所提交文件的作者集体发起并制作了该文件，所有成员均做出了平等的贡献。