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Combustion, Explosion and Shock Waves

2026 year, number 1

On the Maximum Velocity of Coherent Cumulative Jets from Hemispherical Liners of Degressive Thickness

S. V. Fedorov
Bauman Moscow State Technical University, Moscow, Russia
Keywords: cumulative charge, cumulative jet, hemispherical liner, degressive thickness, spherically symmetric collapse, volumetric destruction, coherent jet formation, incoherent jet formation

Abstract

For hemispherical cumulative liners of degressive thickness (decreasing from apex to base), an increase in the velocity of the leading portion of the forming cumulative jet is observed with increasing thickness difference between the apex and base of the liner, which is ensured by the process of its explosive compression becoming more spherically symmetric. Based on a numerical solution to a model problem of the inertial, centrally symmetric collapse of a shell in the shape of a spherical segment with a model material that does not resist all-round stretching, it is shown that the maximum velocity of cumulative jets from hemispherical liners of degressive thickness that do not undergo volumetric destruction should be higher than that of jets from conical liners -- at least 12 km/s for copper liners. The production of a coherent copper cumulative jet with a warhead velocity at the specified level was recorded in a numerical simulation of the explosion of a charge with a lining of degressive thickness, having a hemispherical outer surface and a semi-superellipsoidal inner surface with an exponent of 2.05 in the semi-superellipsoid equation.