Analysis of a Functionally Graded Semiconducting Thermoelastic Layer Immersed in an Infinite Non- Viscous Fluid Anchal Sharma 1 and Praveen Ailawalia 2 1 Department of Mathematics, M M Engineering College, Maharishi Markandeshwar (Deemed to be University), Mullana-Ambala, Haryana, India Email: anchalsharma533@gmail.com 2 Department of Mathematics, University Institute of Sciences, Chandigarh University, Gharuan-Mohali, Punjab, India Email: praveen_2117@rediffmail.com Abstract—In the present research problem, photo thermal interaction in a functionally graded semiconducting medium is studied. It deals with two-dimensional thermoelastic semiconducting layer of finite thickness 2d, which is immersed in an infinite non-viscous fluid. A mechanical force of magnitude F is applied along the interface of two medium. The non-homogeneous mechanical properties of functionally graded material are supposed to be in x direction. The components of displacement, temperature distribution, stress, carrier density is obtained by using normal mode technique. The components are then evaluated numerically by developing a MATLAB program for Silicon material. The numerical results are then plotted graphically for different theories of thermo-elasticity. Index Terms— Semiconducting, Functionally graded, Carrier density, Infinite fluid, Temperature distribution, Fluid layer. I. INTRODUCTION In nineteenth century, the classical uncoupled theory of thermo-elasticity was in trend, but there were two short- coming in this theory. First, equations of heat conduction of this theory do not contain elastic term. Second, the heat equation is of parabolic type which predicts an infinite speed of propagation. To remove this paradox, “Ref. [1]”Biotdiscovered the classical coupled theory of thermoelasticity. He explained the effect of deformation on temperature against the uncoupled theory already in practice. After this, the modified version of classical uncoupled and coupled theory of thermoelasticity has been developed in order to remove the paradox of infinite velocity of thermo-elasticity. Many researchers developed different theories of thermoelasticity which developed interest in thermoelasticity due to its more realistic results as compared to other. “Ref. [2,3]” Further, Lord and Shulman, Green and Lindsay presented modified the version of thermoelasticity. “Ref. [4]”Green and Nagdhi gave the concept of undamped heat waves in elastic solid as well as thermo-elasticity without energy dissipation. “Ref. [5]”Hetnarski and Ignaczak and Ignaczakinspected the theories of thermoelasticity. “Ref. [6]”Song, Bai, Rendiscussed the plane wave reflection in a semiconducting medium under photo thermal theory. “Ref. [7]” Properties of waves and electronic strain contributions in semiconductors were demonstrated by Todorovic. “Ref. [8]” Effect of initial stress and temperature-dependent parameter on semiconductor material Grenze ID: 01.GIJET.9.1.45_1 © Grenze Scientific Society, 2023 Grenze International Journal of Engineering and Technology, Jan Issue