We consider a model of delamination where inertial and viscous
effects are taken into account. The variables of the system, i.e., the
displacement of the bodies u and the adhesive coefficient z, satisfy a
system of nonlinear PDEs. When the external load becomes slower and slower
the dynamic evolutions approach a discontinuous quasistatic evolution in
delamination, that is an evolution where u and z satisfy a local stability
condition and an energy inequality. We focus on the 1-dimensional model
where it is possible to describe better the discontinuities of the limit
evolutions.