The problem of creep, damage and long-term strength of compressible elastic-viscous aging media is considered. The modified Maxwell equation expressed in the scale of effective time is used. The parameter of continuity is defined by a value of relative changes of density, which is an integral measure of the structure micro defects stored during long-term loading. It is assumed that the rate of brittle fracture depends on stress and the value of stored damage. Taking into account the noted assumptions the analytical relations for the parameter of continuity and the fracture criteria are derived.