A comparison of the dynamic response of the ACS and SLS models for linear viscoelasticity

Using asymptotic analysis and numerical computation, we compare the behaviour of the three-parameter viscoelastic model proposed by Achenbach and Chao (ACS) with that of the Standard Linear Solid (SLS) in one-dimensional wave propagation. Our study shows that the models behave very similarly in both the near and far fields and that the much simpler form of the fundamental solution for the Achenbach-Chao model may take it preferable in many applications.