Quasi-P wave through orthotropic piezo-thermoelastic materials subject to higher order fractional and memory-dependent derivatives

• Published in: Mechanics of advanced materials and structures Vol. 31; no. 22; pp. 5532 - 5546
• Main Authors: Gupta, Vipin, Barak, M. S.
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 16.11.2024; Taylor & Francis Ltd
• Subjects: Conduction heating; Conductive heat transfer; Coupled modes; Derivatives; Energy distribution; energy ratios; fractional derivative; Free surfaces; Higher order derivative; Impact analysis; Incidence angle; kernel; Kernel functions; memory-dependent derivatives; Order parameters; P waves; Parameter identification; Phase lag; phase lags; piezo-thermoelastic; Plane waves; Reflected waves; Wave reflection
• ISSN: 1537-6494; 1537-6532
• DOI: 10.1080/15376494.2023.2217420

This study uses the triple-phase lag model to investigate how higher-order fractional order and memory-dependent derivatives affect reflection at the free surface of an orthotropic piezo-thermoelastic medium. The performance of both kinds of derivatives is studied using the normal mode analysis technique. Four different types of coupled reflected plane waves are identified and explore the impact of various parameters, fractional order parameter, kernel function, the higher-order time differential fractional, and memory-dependent heat conduction parameters on energy distribution with respect to the angle of incidence. The results are presented graphically, providing numerical data for reflected waves, amplitude, and energy ratios.