Plastic instability and particulation in stretching metal jets

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Abstract
Metal jets (or rods) that are plastically stretching eventually undergo a particulation process that arrests the plastic elongation and thus limits the target penetration that is to be achieved by the jet. The particulation process is found to depend upon the perturbation structure and upon a single dimensionless flow parameter φ. Statistical definitions are introduced for the perturbation magnitudes (jet roughness magnitude, velocity irregularity function, yield strength irregularity function). Then the jet length Lb at breakup is determined as a function of φ0 and these perturbation magnitudes. Jet yield strength σ, density ρ, and initial velocity gradient Ux occur in the definition of φ0 so that the effects of σ, ρ, and Ux upon Lb are also determined.

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