WAVE SOLUTIONS IN RHEOLOGICAL MEDIA

Abstract

The propagation of linear acoustic waves in isotropic media in which mechanical relaxation phenomena occur are investigated. The irreversible mechanical processes in the medium due to viscosity and to changes in a tensorial internal variable are analysed with the aid of non-equilibrium thermodynamics. In particular, in this paper, a wave solution applying the method of Laplace transform is proposed. Moreover, the corresponding solutions in Poynting-Thomson, Maxwell, Kelvin-Voigt, Hooke and Newton media are calculated.