Analytical Penetration Modeling


Contact Information

James D. Walker, Ph.D.
Director
Engineering Dynamics
Mechanical Engineering
(210) 522-2051
jwalker@swri.org

Image: Comparison of Walker-Anderson model (black lines) to experimental result for bulging and perforation

Comparison of Walker-Anderson model (black lines) to experimental result for bulging and perforation

The Walker-Anderson analytical penetration model, developed by Southwest Research Institute (SwRI), is based on momentum conservation along the projectile-target centerline. Originally developed for semi-infinite metallic armors, the model can be used to solve a wide range of problems including bulging and perforation, incorporating seven different exit failure modes. The analytical penetration model provides a fast-running, accurate capability to estimate penetration performance in metallic, ceramic, and fabric armors.

Analytical Penetration Modeling Applications

  • Long-rod projectiles
  • Small arms (armor-piercing and ball rounds)
  • Fragment-simulating projectiles (FSP)
  • Brittle materials (e.g., glass and ceramics)
  • Ballistic fabrics
  • Ballistic composites
  • Estimates for ballistic protection such as V50, mass efficiency, and limit thickness
  • Hypervelocity impact
image: Ballistic limit vs. thickness predictions for FSPs, and comparison to experimental data 
							(solid lines are the model; experimental data are denoted by the symbols)

Ballistic limit vs. thickness predictions for FSPs, and comparison to experimental data (solid lines are the model; experimental data are denoted by the symbols)

image: Comparison of fabric response model (solid lines) to experimental data (symbols)

Comparison of fabric response model (solid lines) to experimental data (symbols)


image: Comparison of Walker-Anderson model (solid lines) to experimental data for tungsten alloy and 
						steel L/D 10 long rods into armor steel targets

Comparison of Walker-Anderson model (solid lines) to experimental data for tungsten alloy and steel L/D 10 long rods into armor steel targets

image: Comparison of Walker-Anderson model (solid lines) to nose and tail positions of a long rod 
						penetrating an armor steel target

Comparison of Walker-Anderson model (solid lines) to nose and tail positions of a long rod penetrating an armor steel target


image: Comparison of VS–VR and V50 by Walker-Anderson model to experimental data

Comparison of VS–VR and V50 by Walker-Anderson model to experimental data

image: The analytical model reproduces the experimental data for tungsten long-rod penetration into 
						a semi-infinite silicon carbide target

The analytical model reproduces the experimental data for tungsten long-rod penetration into a semi-infinite silicon carbide target

Related Terminology

analytical penetration modeling • penetration mechanics • armor mechanics, ballistic impact • ceramic armor • body armor • terminal ballistics • penetration performance •  ballistic performance • long-rod projectiles • terminal ballistics • penetration mechanics • armor mechanics • material response • numerical simulation • transient dynamics • computational fluid dynamics • CFD • homeland security

Benefiting government, industry and the public through innovative science and technology
Southwest Research Institute® (SwRI®), headquartered in San Antonio, Texas, is a multidisciplinary, independent, nonprofit, applied engineering and physical sciences research and development organization with 10 technical divisions.
04/15/14