Analysis of Rayleigh Waves in Micropolar Thermoelastic Solid over a Dual-Phase-Lag Semi-Infinite Thermoelastic Substrate under Interfacial Imperfections

Abstract

The study unfurls the analysis of interfacial imperfections on Rayleigh waves transmitting through micropolar thermoelastic solid without energy dissipation over a semi-infinite isotropic thermoelastic solid in context of dual-phase-lag model. Separate analytical expressions regarding displacements and thermal stresses have been derived in order to characterize the dynamics of individual materials. Taking the free surface as thermally insulated and traction free, suitable spring boundary conditions on account of imperfect interfaces have been used upon the surface wave solutions of elastodynamical equations pertinent to those materials. From the real part of eleventh-order determinantal expression, we obtain the frequency equation of Rayleigh waves for the proposed earth model. Some special cases of boundaries i.e., normal stiffness, transverse stiffness, thermal contact conductance, slip boundary have been deduced from the imperfect one. Numerical computations have been performed in order to graphically illustrate the dependencies of different boundaries and phase lag on the phase velocity of Rayleigh waves. The study may find potential applications in fields of naval architecture and aeronautics where temperature induced elastic deformations occur.