REPUBLIC OF SERBIA

MINISTRY OF DEFENCE

www.mod.gov.rs

MINISTRY OF DEFENCE

Material Resources Sector

Defensive Technologies Department

Military Technical Institute

www.vti.mod.gov.rs

two-stage model of explosive propulsion of metal cylinder

predrag Elek

University of Belgrade, Faculty of Mechanical Engineering, Belgrade, pelek@mas.bg.ac.rs

slobodan jaramaz

University of Belgrade, Faculty of Mechanical Engineering, Belgrade, sjaramaz@mas.bg.ac.rs

dejan mickoviĆ

University of Belgrade, Faculty of Mechanical Engineering, Belgrade, dmickovic@mas.bg.ac.rs

Abstract: The paper considers acceleration of cylindrical metal liner by expanding detonation products. A new analytical model of liner motion is developed for the cases of axisymmetric (head-on) and grazing (side-on) detonation of the explosive charge. Suggested model relies on the two-stage regime of cylinder motion: (i) the first stage is the consequence of detonation wave-metallic liner interaction; as the result initial velocity is imparted to the liner, (ii) the second stage is gas-dynamic push of the liner governed by detonation product expansion, similarly to the Gurney approach. Results of the analytical model are validated by comparison with available experimental data.

Key words: explosive propulsion, detonation, shock waves, plasticity, analytical model