Propagation of Plane Waves and Fundamental Solution in Thermoviscoelastic Medium with Voids

Abstract

This article deals with the study of propagation of plane waves in an isotropic generalized thermoviscoelastic medium with voids. It is found that, for one dimensional model of isotropic generalized thermoviscoelastic medium with voids, there exist three longitudinal waves, namely elastic (E-mode), thermal(T-mode) and volume fraction (V-mode) in addition to transverse waves which get decoupled from rest of motion and not affected by thermal and volume fraction fields. The phase velocity and attenuation coefficient of these waves are computed numerically and presented graphically. In addition, the fundamental solution of system of differential equations in the theory of thermoviscoelasticity with voids in case of steady oscillations in terms of elementary functions has been constructed. Some basic properties of the fundamental solution are established. Some particular cases are also discussed.

Keywords:

• Fundamental solution
• Plane waves
• Steady oscillations
• Thermoviscoelastic with voids