Girish Mahajan (Editor)

Ballistic limit

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The ballistic limit or limit velocity is the velocity required for a particular projectile to reliably (at least 50% of the time) penetrate a particular piece of material. In other words, a given projectile will generally not pierce a given target when the projectile velocity is lower than the ballistic limit. The term ballistic limit is used specifically in the context of armor; limit velocity is used in other contexts.

The ballistic limit equation for laminates, as derived by Reid and Wen is as follows:

V b = π Γ ρ t σ e D 2 T 4 m [ 1 + 1 + 8 m π Γ 2 ρ t D 2 T ]
where

  • V b is the ballistic limit
  • Γ is a projectile constant determined experimentally
  • ρ t is the density of the laminate
  • σ e is the static linear elastic compression limit
  • D is the diameter of the projectile
  • T is the thickness of the laminate
  • m is the mass of the projectile
  • Additionally, the ballistic limit for small-caliber into homogeneous armor by TM5-855-1 is:

    V 1 = 19.72 [ 7800 d 3 [ ( e h d ) sec θ ] 1.6 W T ] 0.5
    where

  • V 1 is the ballistic limit velocity in fps
  • d is the caliber of the projectile, in inches
  • e h is the thickness of the homogeneous armor (valid from BHN 360 - 440) in inches
  • θ is the angle of obliquity
  • W T is the weight of the projectile, in lbs
  • References

    Ballistic limit Wikipedia