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Elastic-Plastic Modelling of Shaped Charge Jet Penetration

By R. Novokshanov and J. R. Ockendon


This paper concerns the mathematical modelling of high rate penetration of a metaltarget by a shaped charge device that produces a high velocity jet. A key objective is to predict the penetration velocity, be it subsonic, transonic, or supersonic. We do this by considering, on the local scale near the tip of the penetrated cavity, an elastic-plastic free boundary problem that takes into account the residual stresses produced by the moving plasticized region of the target. It is the self-consistency of this elastic-plastic model that dictates predictions for the penetration velocity

Topics: Partial differential equations
Year: 2006
OAI identifier:

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  28. (1946). On the asymptotic shape of the cavity behind an axially symmetric nose moving through an ideal fluid.
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  36. (1958). The classical theory of elasticity.
  37. (1956). The generation of waves in an infinite elastic solids by variable body forces.
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  40. (1968). Theoretical hydrodynamics. 5th edn.
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