wave propogation in with non local deformation

I have a one dimensional bar with a triangular pulse given at one end for 2 microseconds. The boundary conditions are free-free.I am having two cases. One in which the deformation is local (Hooke's law) and other in which the deformation is dependent on a kernel of radius r (say 5* element length).I find that the wave speed is higher when the deformation is non-local as compared to local deformation case. Is this correct? Is there a way to verify the solution?