A Novel Model of Ramp Type Heating and Electromagnetic Field on Waves Propagation in a Semiconductor Nanostructure Thermoelastic Solid

Abstract

In this article, we studied the electromagnetic field and ramp type heat source on waves propagation in semiconductor nanostructure thermoelastic solid. A generalized thermoelastic theory along with coupled nonlocal elastic theory considered mathematical model representing the phenomena is formulated. Incorporating a ramp type heat equation of fractional order allows us to point out the influence of temperature on wave motion. The governing equations are decomposed into their longitudinal and transverse components using the decomposition method. It is obvious that one longitudinal P-type and secondary shear S-type three waves are propagating through the medium. For a given material, analytical results for the reflection coefficient of each of the transmitted waves are computed numerically and then displayed graphically. The influence of electromagnetic field, nonlocal parameters \({{e}_{0}}a\) and time derivative fractional order (FO)\(\alpha \) are also discussed. Previous results produced with the electromagnetic field ignored have been compared and also with the previous investigations. The results conclude that the results obtained agreement with the physical meaning and applicable on diverse field as geophysics, geology, acoustics, engineering, and aerospace.