The problem on propagation of an elastic compression wave in a disintegrati
ng brittle material is solved analytically. It is believed that a destructi
on wave propagating with a subsonic velocity behind a shock wave is initiat
ed at the impacted surface. Disintegration of the material is modelled as r
elaxation of sheer stresses behind the destruction-wave front. The kinetic
parameters of destruction are correlated with the compression-pulse structu
re.