The mechanisms of the processes occurring during the explosive crushing and softening of pieces of solid tungsten-cobalt alloys are considered. The parameters of the stress field required for their effective destruction are recorded. The estimation of the duration of the process of destruction in a given section of the explosive charge is carried out. A method is proposed for calculating the A and m coefficients in the Theta impact shock compressibility equation for tungsten-cobalt alloys and their value for the TC8 alloy is obtained. The parameters of strong compression waves in the TC8 alloy and steel at pressures in detonation products of 5 and 1 GPa are estimated in cases of perpendicular and tangential wave incidence on the surface of the piece. The analysis of the processes occurring in a steel pipe filled with explosives and pieces of TC8 alloy was carried out. The work obtained the results needed by experimenters and explosives practitioners for developing designs of crushing charges for pieces of tungsten-cobalt alloys.