Jet Velocity Profile of Linear Shaped Charges Based on an Arced Liner Collapse

The jet formation process of linear shaped charges (LSCs) heavily depends on the liner behavior before it collapses. The linear behavior includes the physical shape/deformation, material properties, the projection velocity before impact of the liner, etc. Due to the axially propagating detonation front along the charge, the interaction between the liner and detonation products is one of the important factors that controls the jetting process. In this study, the liner deformation (or arc) caused by the rarefaction is taken into account when analytically calculating the LSC jet velocity based on Birkhoff theory. Based on the formation of an arc in the liner, an analytical calculation of the jet velocity is accomplished in the detonation front, assuming that the entire liner is projecting at the same time. The arc of the LSC liner during projection, which was determined by fitting data generated from hydrocode simulations, allows a non-steady jetting profile. The analytical model described herein is compared to hydrocode simulation results and is shown to exhibit favorable results.