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2025, Vol. 10, Issue 6, Part C

Reflection of plane waves in a double poroelastic diffusive medium with microtemperatures and temperature dependent properties


Author(s): Meena Kumari, Sangeeta Malik, Dalip Singh and Baljit Singh Punia

Abstract:
Purpose: Present analysis is concerned with the reflection of time harmonic plane waves in a homogeneous, isotropic, thermoelastic diffusive medium under the effects of double porosity, microtemperatures and temperature dependent properties.
Methods: Six kinds of coupled longitudinal waves in addition to shear wave and microtemperature wave travel with distinct speeds in such type of medium. Taking into account appropriate boundary constraints, the reflection phenomena is investigated at the stress free surface of the medium.
Results: The expressions of amplitude ratios and energy ratios for the reflected plane waves are obtained. Numerical computations, performed using MATLAB software, analyze the impacts of double porosity, diffusion, temperature dependent properties and microtemperature parameters on the amplitude ratios.
Conclusion: It is observed that the maximum amount of energy goes along the reflected longitudinal displacement wave corresponding to the reflection coefficient |Z1|. Thus, the reflected longitudinal displacement wave is the most dominating wave after reflection as it suppresses the other reflected waves. The computational results are visualized and interpreted through graphs. Notably, it is confirmed that there is no dissipation of energy during the reflection phenomena.



DOI: 10.22271/maths.2025.v10.i6c.2175

Pages: 236-250 | Views: 62 | Downloads: 12

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International Journal of Statistics and Applied Mathematics
How to cite this article:
Meena Kumari, Sangeeta Malik, Dalip Singh, Baljit Singh Punia. Reflection of plane waves in a double poroelastic diffusive medium with microtemperatures and temperature dependent properties. Int J Stat Appl Math 2025;10(6):236-250. DOI: 10.22271/maths.2025.v10.i6c.2175

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