Journal of Computational Applied Mechanics

Reflection of Harmonic Waves in a Nonlocal Rotating Micropolar Medium with Constant Magnetic Field under Three-phase-lag Theory with Temperature Dependent Elastic Model

Document Type : Research Paper

Authors

1 Department of Mathematics & Statistics, International Islamic University, Islamabad, Pakistan

2 Department of Computer Engineering, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia

3 Interdisciplinary Research Center for Smart Mobility and Logistics, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia

4 Center for Modeling & Computer Simulation, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran-31261, Saudi Arabia

Abstract

The reflection of harmonic waves, like sound or light, has diverse applications, including sonar for object location, understanding seismic waves in geophysics, and even in the human eye's ability to see. The reflection of plane waves with constant material properties is available in existing literature, but very little attention has been given to the temperature-dependent modulus of elasticity. A novel model is proposed to study the propagation of harmonic plane waves through a nonlocal micropolar medium with temperature-dependent material properties. The influence of nonlocality, rotation effects, and the constant magnetic field is also taken into account. The precise formulations of the field quantities are presented and examined using the normal mode approach. The phase lag (TPL) theory is applied to model and solve the governing equations. The effects of rotation, temperature-dependent constants, and the nonlocality parameter on the different physical quantities have been examined and displayed graphically. Energy ratios are also computed by using the amplitude ratios. It is concluded that in a nonlocal, rotating, micropolar medium, reflection of harmonic waves provides four coupled quasi-waves, namely, quasi-transverse, quasi-longitudinal, quasi-micro rotational, and quasi-thermal, with different speeds, and the energy ratios and reflection coefficients are affected by nonlocal parameters, rotation, and micropolarity.

Keywords

Main Subjects

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Journal of Computational Applied Mechanics
Volume 56, Issue 2
April 2025
Pages 331-344
  • Receive Date: 17 March 2025
  • Revise Date: 31 March 2025
  • Accept Date: 31 March 2025