Supplement to the paper by A. B. Kiselev “Analytical solutions of problems of the adiabatic compression of thick-walled spherical and cylindrical shells made of incompressible viscoplastic material”. JAMM Vol. 76, No. 4, pp. 489–492, 2012

The problem, which differs from that formulated previously,1 and 2 by having an external dynamic load, is considered. Exact solutions are obtained using the same assumptions and the same method.