Propagation of Rayleigh Wave in a Thermoelastic Solid Half-Space with Microtemperatures

Abstract

The Rayleigh surface wave is studied at a stress-free thermally insulated surface of an isotropic, linear, and homogeneous thermoelastic solid half-space with microtemperatures. The governing equations of the thermoelastic medium with microtemperatures are solved for surface wave solutions. The particular solutions in the half-space are applied to the required boundary conditions at stress-free thermally insulated surface to obtain the frequency equation of the Rayleigh wave. Some special cases are also derived. The non-dimensional speed of Rayleigh wave is computed numerically and presented graphically to reveal the dependence on the frequency and microtemperature constants.

On Propagation of Rayleigh Type Surface Wave in Five Different Theories of Thermoelasticity

“…Chirita [28] studied the Rayleigh surface waves on an anisotropic homogeneous thermoelastic half-space. Singh [29] considered the propagation of Rayleigh waves in a thermoelastic solid half-space with microtemperatures. Bucur et al [30] analyzed the behavior of plane harmonic waves and Rayleigh waves in a linear thermoelastic material with voids by considering the damped effects of the thermal field.…”

Harmonic waves solution in dual-phase-lag magneto-thermoelasticity

“…Later, Iesan and Quintanilla [3] extended the concept-presented by Grot and introduced the theory of thermo-elastic bodies with micro-temperatures, which allows the transmission of thermal waves at finite speed. Several experts worked on the extensions of the theory, some notable authors are [4][5][6][7][8][9].…”