Publications Details
Attenuation of waves in a visoelastic peridynamic medium
The propagation and decay of waves in a nonlocal, one-dimensional, viscoelastic medium is analyzed. Waves emanating from a source with constant amplitude applied at one end of a semi-infinite bar decay exponentially with distance from the source. A method for computing the attenuation coefficient explicitly as a function of material properties and source frequency is presented. The results are compared with direct numerical simulations. The relationship between the attenuation coefficient and the group velocity is investigated. It is shown that in the limit of long waves (or small peridynamic horizon), Stokes' law of sound attenuation is recovered.