Techno Press
Techno Press

Coupled Systems Mechanics
  Volume 13, Number 6, December 2024 , pages 529-546
DOI: https://doi.org/10.12989/csm.2025.13.6.529
 

Analysis of wave propagation in micropolar thermoelastic media incorporating hyperbolic two temperature effects with framework of modified Green-Lindsay theory
Sachin Kaushal, Indu Bala, Magdy A. Ezzat, Nidhi Arora and Ashok Sharma

 
Abstract
    The study examines the behaviour of waves propagating through a homogeneous, isotropic thermoelastic medium under modified micropolar Green-Lindsay (MMG-L) model along with hyperbolic two-temperature (HTT) parameter. The governing Eqs. are formulated and explained after reducing to two dimension and a dimensionless form. Amplitude ratios are obtained for various waves namely Longitudinal waves (LD-wave), Transverse wave (T-wave), Coupled Displacement-I wave (CD-I wave) and Coupled Displacement-II wave (CD-II wave), for the considered model. This article distinctively explores the influence of the HTT parameter on wave propagation within the modified Green-Lindsay (MG-L) model. Amplitude ratios are presented graphically to depict the influence of HTT parameter along with different models of thermoelasticity namely the MG-L and Green-Lindsay (G-L) model. Also, the graphically presented results shows the potential applications in geophysics, seismology and earthquake engineering providing valuable insights into wave interaction dynamics within micro-structured materials. Some special cases are also deduced from the present investigation.
 
Key Words
    amplitude ratio; hyperbolic two-temperature; micropolar thermoelastic; modified Green-Lindsay
 
Address
Sachin Kaushal: Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University, Phagwara, India
Indu Bala: Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University, Phagwara, India
Magdy A. Ezzat: Department of Mathematics, Faculty of Science, Qassim University, Buraydah, 51452, Saudi Arabia
Nidhi Arora: Department of Computer Science and Engineering, Lovely Professional University, 144411, Phagwara, India
Ashok Sharma: Department of Computer Science and IT, University of Jammu, Jammu and Kashmir, India
 

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