A general methodology for estimating the requirements for defeating an explosive-containing mortar threat by an intercepting array of explosively generated natural and controlled fragments is discussed along with the experimental data supporting quantitative interpretation. The target response of covered TNT impacted by single fragments is predicted through numerically determined shock-to-detonation thresholds as well as empirical penetration equations. Included in the methodology is a comprehensive, deterministic endgame model that consists of an intercept model, a static and dynamic fragment model, and a hit model generating the number of effective hits for arbitrary intercept situations. Experimental data supporting the assumptions of the models are reported. The model is also useful in establishing interceptor requirements.

1.
Graswald
,
M.
, 2009,
Untersuchungen zur Entwicklung und Bewertung von Counter-RAM Systemen
,
Shaker Verlag
,
Aachen, Germany
(Ph.D. thesis, Helmut Schmidt University, Hamburg, Germany).
2.
Cooper
,
P. W.
, 1996,
Explosives Engineering
,
Wiley-VCH
,
New York
.
3.
Tarver
,
C. M.
,
Hallquist
,
J. O.
, and
Erickson
,
L. M.
, 1985, “
Modeling Short Pulse Duration Shock Initiation of Solid Explosives
,”
Proceedings of the Eighth Symposium (International) on Detonation
, Albuquerque, NM.
4.
ANSYS
, 2005,
Explosive Initiation Users Manual (Lee-Tarver Ignition & Growth)
, revision 4.3,
Century Dynamics Inc./ANSYS Inc.
,
Concord, CA
.
5.
Bahl
,
K. L.
,
Vantine
,
H. C.
, and
Weingart
,
R. C.
, 1981, “
The Shock Initiation of Bare and Covered Explosives by Projectile Impact
,”
Proceedings of the Seventh Symposium (International) on Detonation
, Annapolis, MD.
6.
Moulard
,
H.
, 1981, “
Critical Conditions for Shock Initiation by Small Projectile Impact
,”
Proceedings of the Seventh Symposium (International) on Detonation
, Silver Spring, MD.
7.
Lee
,
E. L.
, and
Tarver
,
C. M.
, 1980, “
Phenomenological Model of Shock Initiation in Heterogeneous Explosives
,”
Phys. Fluids
1070-6631,
23
(
12
), pp.
2362
2372
.
8.
James
,
H. R.
,
Haskins
,
P. J.
, and
Cook
,
M. D.
, 1996, “
Prompt Shock Initiation of Cased Explosives by Projectile Impact
,”
Propellants, Explos., Pyrotech.
0721-3115,
21
, pp.
251
257
.
9.
Nolte
,
T.
, 2009, “
Sensitivity Investigation of Explosives With Fragment Impact Simulation Related to Counter RAM Systems
,” Technical report, Helmut-Schmidt-University, Hamburg, Germany.
10.
NATO MAS
, 1998,
AOP-39: Guidance on the Development, Assessment and Testing of Insensitive Munitions (MURAT)
,
1st ed.
, Brussels, Belgium.
11.
Ball
,
R. E.
, 2003,
The Fundamentals of Aircraft Combat Survivability Analysis and Design
,
2nd ed.
,
AIAA, Inc.
,
Reston, VA
.
12.
Lloyd
,
R. M.
, 1998,
Conventional Warhead Systems Physics and Engineering Design
,
AIAA, Inc.
,
Reston, VA
.
13.
NATO MAS
, 2000,
STANAG 4589: Static Testing of High-Explosive Munitions for Obtaining Fragment Spatial Distribution
,
1st ed.
, final draft, Brussels, Belgium.
14.
JTCG/ME
, 1985,
Penetration Equations Handbook for Kinetic-Energy Penetrators, 61 JTCG/ME-77-16
,
Joint Technical Coordinating Group for Munitions Effectiveness (Anti-Air)
,
Aberdeen Proving Ground, MD
.
15.
Ballistics Analysis Laboratory
, 1961,
Project THOR: The Resistance of Various Metallic Materials to Perforation by Steel Fragments; Empirical Relationships for Fragment Residual Velocity and Residual Weight
, Technical Report No. 47,
Ballistic Analysis Laboratory, John Hopkins University
,
Baltimore, MD
.
16.
Graswald
,
M.
,
Brown
,
R. E.
, and
Rothe
,
H.
, 2010, “
Novel Ammunition Consumption Model for Vulnerability/Lethality Analysis to Defeat Air Targets
,”
Proceedings of the 25th International Symposium on Ballistics
, Beijing, China.
17.
Pearson
,
J.
, 1978, “
The Shear Control Method of Warhead Fragmentation
,”
Proceedings of the Fourth International Symposium on Ballistics
, Monterey, CA.
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