Adel M, Kaushal Sachin, Bala Indu, Lotfy Kh, Mahdy Amr M S, Arora Nidhi
Department of Mathematics, Faculty of Science, Islamic University of Madinah, Medina, KSA, Saudi Arabia.
Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University-Phagwara, Phagwara, 144411, India.
Sci Rep. 2025 Aug 28;15(1):31711. doi: 10.1038/s41598-025-17293-7.
Wave propagation, a key area in seismology, plays a crucial role in fields such as mineral exploration, hydrocarbon detection, and infrastructure development. Therefore, this study investigates the propagation of plane waves in a homogeneous, isotropic, generalized micropolar viscothermoelastic medium under the influence of viscosity, the hyperbolic two-temperature (HTT) parameter, and impedance boundary conditions. By deriving and reducing the governing equations to two dimensions and transforming them using dimensionless quantities and potential functions, the present model captures the combined effects of thermal, viscous, and micropolar interactions. The analysis further incorporates impedance parameters at the boundaries to simulate realistic reflection scenarios relevant to acoustics, seismology, and advanced material design. Amplitude ratios of various reflected waves are obtained by applying the reflection technique along with appropriate boundary conditions. Numerical simulations, based on the material properties of magnesium crystal, illustrate the effects of the HTT parameter, viscosity, and impedance on wave propagation. The results reveal that both viscosity and the HTT parameter significantly influence the amplitude and attenuation of reflected waves, with distinct trends observed for different wave types. Some special and limiting cases are also identified, offering a comprehensive theoretical framework that bridges classical and advanced models of wave propagation in complex media. The findings are particularly relevant to seismology, non-destructive testing, and the development of advanced materials for aerospace and geophysical applications.
波动传播是地震学中的一个关键领域，在矿物勘探、碳氢化合物探测和基础设施开发等领域发挥着至关重要的作用。因此，本研究考察了在粘性、双曲双温度（HTT）参数和阻抗边界条件影响下，平面波在均匀、各向同性、广义微极粘弹性热介质中的传播。通过将控制方程推导并简化为二维形式，并使用无量纲量和势函数进行变换，本模型捕捉了热、粘性和微极相互作用的综合效应。分析还纳入了边界处的阻抗参数，以模拟与声学、地震学和先进材料设计相关的实际反射场景。通过应用反射技术并结合适当的边界条件，得到了各种反射波的振幅比。基于镁晶体的材料特性进行的数值模拟，说明了HTT参数、粘性和阻抗对波传播的影响。结果表明，粘性和HTT参数均对反射波的振幅和衰减有显著影响，不同波型呈现出不同的趋势。还确定了一些特殊和极限情况，提供了一个全面的理论框架，架起了复杂介质中波传播的经典模型和先进模型之间的桥梁。这些发现对于地震学、无损检测以及航空航天和地球物理应用的先进材料开发尤为重要。
