The stability of shaped-charge jets

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Abstract
Shaped‐charge jets have a tendency to break up into a series of segments along the jet axis, as evidenced by flash radiographs. This paper studies the stability of stretching plastic shaped‐charge jets by two approaches. First, a one‐dimensional theory is formulated. This theory yields a stability criterion which depends on the instantaneous values of stress and the slope of the stress‐strain curve. It also relates the disturbance growth rate to disturbance wavelength, stretching rate, and yield stress to density ratio. In the second approach, two‐dimensional finite‐difference calculations are performed which substantiate all of the trends indicated by the one‐dimensional theory. Also, the two‐dimensional calculation shows the existence of a critical wavelength; disturbances of this wavelength grow faster than all others. Other effects such as irregular surface disturbances and elasticity are also studied.

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