Plane Waves in a Magneto-thermoviscoelastic Fiber-reinforced Medium in the Context of Three Phase Lag Model

Description

Page: 121-129

Ashok Kumar¹, Sandeep Kundu², and Meena Kumari³ (Department of Mathematics, Guru Gorakhnath Ji Government College, Hisar, Haryana¹, Department of Mathematics, Guru Gorakhnath Ji Government College, Hisar, Haryana², and Department of Mathematics, CRM Jat College, Hisar, Haryana³)

Current manuscript is aimed to analyze the wave propagation phenomena in a fiber-reinforced thermoviscoelastic medium under the influence of magnetic field. Three phase lag theory has been employed for addressing the mathematical analysis. Proposed solutions of governing equations indicate the propagation of three coupled plane waves, namely quasi longitudinal displacement wave (qP1), quasi thermal wave (qP2) and quasi transverse displacement wave (qP3). The impact of magnetic field, viscosity and anisotropy are observed on the various characteristics of waves. Conservation of incident energy is verified through the shares of reflected energies in the medium. Some particular cases of interest have also been inferred from the present problem. In order to check the accuracy of the solutions of wave propagation through the considered medium, a numerical analysis is carried out. The amplitude and energy ratios corresponding to various reflected waves are derived numerically with the help of MATLAB programming, using the relevant boundary condition. The present research is useful for the analysis of thermoelastic problems involving viscosity, fiber-reinforcement and magnetic field.