Plane harmonic waves in the theory of thermoviscoelastic materials with voids

摘要

In this paper we analyze the behavior of plane harmonic waves in a linear thermoviscoelastic materialwith voids.We take into account the effect of the thermoviscoelastic dissipation energy upon thecorresponding wave solutions and,consequently,we study the damped in time wave solutions.There arefive basic waves in an isotropic and homogeneous thermoviscoelastic space.Two of them are shear waves,while the remaining three are dilatational waves.The shear waves are uncoupled,damped in time withdecay rate depending only on the viscosity coefficients.The three dilatational waves are coupled andconsist of a predominantly dilatational damped wave of Kelvin-Voigt viscoelasticity,other ispredominantly a wave carrying a change in the void volume fraction and the third takes the form of astanding thermal wave whose amplitude is decaying exponentially with time.