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Retraction published on 17 December 2013, see Appl. Sci. 2013, 3(4), 725.

Open AccessArticle
Appl. Sci. 2012, 2(1), 35-45; doi:10.3390/app2010035

Steady State Analytical Equation of Motion of Linear Shaped Charges Jet Based on the Modification of Birkhoff Theory

Energetic Systems Research Group, Department of Mechanical Engineering, New Mexico Tech, Socorro, NM 87801, USA
Received: 5 December 2011 / Revised: 20 January 2012 / Accepted: 21 January 2012 / Published: 31 January 2012
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Birkhoff theory exhibits an analytical steady state liner collapse model of shaped charges followed by jetting process. It also provides the fundamental idea in study of shaped charges and has widened its application in many areas, including a configuration where the detonation front strikes the entire liner surface at the same time providing the α = β (liner apex angle α, and the liner collapse point angle β) condition in the literature. Upon consideration of the detonation front propagation along the lateral length of the core charge in LSCs (linear shaped charges), a further modification of the Birkhoff theory motivated by the unique geometrical condition of LSCs and the α = β condition is necessary to correctly describe the jetting behavior of LSCs which is different than that of CSCs (conical shaped charges). Based on such unique geometrical properties of LSCs, the original Birkhoff theory was modified and an analytical steady state LSCs model was built. The analytical model was then compared to the numerical simulation results created from Autodyn™ in terms of M/C ratio and apex angles in three different sized LSCs, and it exhibits favorable results in a limited range.
Keywords: linear shaped charges; explosives; detonation linear shaped charges; explosives; detonation
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Lim, S. Steady State Analytical Equation of Motion of Linear Shaped Charges Jet Based on the Modification of Birkhoff Theory. Appl. Sci. 2012, 2, 35-45.

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