Fundamental solution of the steady oscillations equations in porous thermoelastic medium with dual-phase-lag model

Abstract

The purpose of this article is to study the propagation of plane waves in porous thermoelastic medium. The problem is considered in the context of dual-phase-lag model of generalized thermoelasticity. There exists three longitudinal waves, namely elastic (E-mode), thermal (T-mode) and volume fraction (V-mode) in addition to transverse waves which get decoupled from the rest of motion and not affected by thermal and volume fraction fields. The fundamental solution of the system of differential equations in case of steady oscillations in terms of the elementary functions has been constructed. The phase velocity, attenuation coefficient, specific loss and penetration depth of these waves are computed numerically and presented graphically.