Izvestiya of Saratov University.
ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

plane wave

On Wavenumbers of Plane Harmonic Type III Thermoelastic Waves

The present study is devoted to propagation of plane harmonic GNIII thermoelastic waves by the coupled system of linear equations of motion and heat transport based on the Green & Naghdi theory of thermoelasticity. Analytical findings and exact solutions are primarily related to complex wavenumbers, phase velocities and attenuation coefficients of the plane GNIII-thermoelastic waves. Complete analysis of all analytical branches of the wavenumbers is given.

On Wave Solutions of Dynamic Equations of Hemitropic Micropolar Thermoelasticity

Coupled equations of hemitropic thermoelastic micropolar continuum formulated in terms of displacement vector, microrotation vector and temperature increment are considered. Thermodiffusion mechanism of heat transport is assumed. Hemitropic thermoelastic constitutive constants are reduced to a minimal set retaining hemitropic constitutive behaviour. Coupled plane waves propagating in thermoelastic media are studied. Spatial polarizations of the coupled plane waves are determined. Bicubic equations for wavenumbers are obtained and then analyzed.