https://doi.org/10.1140/epjp/s13360-025-06894-w
Regular Article
Reflection phenomena of plane waves in double-porosity fractional thermoelastic half-space under initial stress and rotation
Department of Mathematics, Guru Ghasidas Vishwavidyalaya Bilaspur, 495009, Bilaspur, Chhattisgarh, India
Received:
5
July
2025
Accepted:
22
September
2025
Published online:
30
September
2025
This study investigates the reflection of two-dimensional plane waves in an initially stressed, rotating orthotropic half-space with double porosity formulated within the framework of the Lord–Shulman generalized thermoelasticity theory under fractional-order derivative. Five distinct reflected waves are considered: quasi longitudinal-P (qP), quasi shear vertical (qSV), voids of type-I and type-II, and quasi-thermal (qT). The governing equations of motion and constitutive relations are derived leading to characteristic equations for phase velocity and attenuation coefficients. Analytical expressions for reflection coefficients and energy ratios are also obtained which provide a comprehensive description of the reflection phenomena. Numerical simulations performed using Python demonstrate that phase velocity, reflection coefficients, and energy ratios depend strongly on frequency, wave number, rotation, initial stress, and fractional-order parameters. Notably, initial stress suppresses low-frequency propagation, reducing qP-wave velocities by approximately 14–
, while enhancing high-frequency propagation with a 9–
increase. These results underscore the essential influence of double porosity and fractional-order thermoelasticity on wave behavior and highlight the study’s relevance to applications in geophysics, seismic wave analysis, and materials engineering.
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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
