ON THE FUNDAMENTAL AND PLANE WAVE SOLUTIONS OF THE EQUATIONS OF THE LORD–SHULMAN THEORY OF THERMOELASTICITY WITH MICROTEMPERATURES

The work deals with the fundamental solution of the equations of steady oscillations in the Lord–Shulman theory of thermoelasticity with microtemperatures recently proposed by Bazarra et al. (2020). In addition, the propagation of plane harmonic waves in an isotropic infinite thermoelastic medium under the Lord–Shulman theory of thermoelasticity with microtemperatures is studied. A dispersion relation is derived and obtained for three sets of coupled longitudinal waves. Characterizations of the wave profile, like phase velocity, penetration depth, and specific loss are examined numerically

Author:  Satyam Sachan, Roushan Kumar, and Amit Kumar
Keywords:  thermoelasticity, microtemperatures, fundamental solution, plane harmonic wave, Lord–Shulman thermoelasticity theory
Page:  846