  The purpose of this paper is to investigate the stabilization of a
one-dimensional coupled wave equations with non smooth localized viscoelastic
damping of Kelvin-Voigt type and localized time delay. Using a general criteria
of Arendt-Batty, we show the strong stability of our system in the absence of
the compactness of the resolvent. Finally, using frequency domain approach
combining with a multiplier method, we prove a polynomial energy decay rate of
order 1/t.
