  This paper deals with a nonlocal model for a hyperbolic phase field system
coupling the standard energy balance equation for temperature with a dynamic
for the phase variable: the latter includes an inertial term and a nonlocal
convolution-type operator where the family of kernels depends on a small
parameter. We rigorously study the asymptotic convergence of the system as the
approximating parameter tends to zero and we obtain at the limit the local
system with the elliptic laplacian operator acting on the phase variable. Our
analysis is based on some asymptotic properties on nonlocal-to-local
convergence that have been recently and successfully applied to families of
Cahn--Hilliard models.
