On the non-local aspects of stress in a viscoelastic medium (Q1082855)

After adopting the constitutive equations of the viscoelastic non-local media in the form of Kroener-Eringen-Ahmadi, and making use of the Fourier exponential transformation, fundamental equations for the propagation of plane longitudinal harmonic waves in the Voigt-Kelvin and the Maxwell media are established. In each case the wave dispersion is examined, and the associated equations found to be nonlinear. A more detailed analysis of the results obtained is given, and two simple numerical examples are solved, and illustrated by a graph.