Thermoelastic Waves Propagation through Semiconductor Nanostructure by a Ramp Heat Source

In this article, elastic waves propagating through a semi-conducting nanostructure solid are investigated. A mathematical model representing the phenomenon is formulated using generalized thermoelastic theory along with coupled nonlocal elastic theory. Incorporating a heat equation of fractional order allows us to investigate the impact of temperature on wave motion. The decomposition method is used to separate the governing equations into their longitudinal and transverse parts. It is found that one S-type and three P-type waves are propagating through the medium. A comparison between three phase lag "3HPL" and Green and Nagdhi type III "GN-III" was considered. For a given material, analytical results for the reflection coefficient of each of the reflected waves are displayed graphically by using the MATHEMATICA software program. The influence of nonlocal parameters e0a\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${e}_{0}a$$\end{document} and time derivative fractional order (FO) α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha$$\end{document} are also discussed.