The aim of this work is to assess the influence of the dynamic stresses (due to the projectile displacement and the gas pressure) on the lifetime of certain medium caliber (less than 40 mm) gun barrels. First, an experimental study of tube dynamics under high speed loads was made. The large number of experimental measurements made it possible for us to identify the forcing effect of the projectile. In parallel, experimental samples were submitted to periodic traction-compression forces in order to obtain the material parameters of the barrels used in the study. Second, a finite element (FE) model was elaborated which faithfully forecasts the experimental strain records. Three-dimensional modeling permitted us to correctly evaluate the response in the zones of stress concentration. Third, a lifetime calculation was performed. This shows that the lifetime of the barrel is determined by the most constrained zones during firing: in the present case by the stresses appearing at the bottom of the grooves.

References

1.
Timoshenko
,
S.
, and
Cullough
,
G. M.
,
1949
,
Elements of Strength of Materials
,
D. Van Nostrand Co.
,
Princeton, NJ
.
2.
Radkowski
,
P.
,
Bluhm
,
J.
, and
Bowie
,
O.
, 1954, “
Formulae for the Stresses and Strains in Elastic, Thick-Walled, Circular Cylinders Resulting From Axially Symmetric Loadings
,” Watertown Arsenal WAL, Report No. 893.
3.
STANAG 4110, 2002, “
NATO Standardization Agreement. Definition of Pressure Terms and Their Interrelationship for use in the Design and Proof of Cannons and Mortars and Ammunition
,” NATO Standard Agency, http://nsa.nato.int/
4.
Chu
,
S.
,
1981
, “
New Approach for Analysis of Transverse Projectile-Tube Interactions
,”
Proceedings of the 3rd U.S. Army Symposium on Gun Dynamics
.
5.
Simkins
,
T.
,
1987
, “
Resonance of Flexural Waves in Gun Tubes
,” US Army Armament Research, Development and Engineering Center, Watervliet, NY, Technical Report No. ARCCB-TR-87008.
6.
Su
,
Y. A.
, and
Tadjbakhsh
,
I. G.
,
1991
, “
Transient Vibrations and Instability in Flexible Guns—I. Formulations
,”
Int. J. Impact Eng.
,
11
(
2
), pp.
159
171
.10.1016/0734-743X(91)90003-X
7.
Su
,
Y. A.
, and
Tadjbakhsh
,
I.
,
1991
, “
Transient Vibrations and Instability in Flexible Guns—II. Response Characteristics
,”
Int. J. Impact Eng.
,
11
(
2
), pp.
173
184
.10.1016/0734-743X(91)90004-Y
8.
Erline
,
T. F.
, and
Kregel
,
M. D.
,
1990
, “
Flexible Projectile Modelling Using the Little Rascal Gun Dynamics Program
,”
6th Symposium on Gun Ballistics
, May 15–17, Tamiment, PA.
9.
Hopkins
,
D. A.
,
1990
, “
Modelling Gun Dynamics With 3d Beam Elements
,”
6th Symposium on Gun Ballistics
, May 15–17, Tamiment, PA.
10.
Powell
,
S. E.
,
1992
, “
Modelling Gun Dynamics With 3d Beam Elements
,”
13th International Symposium on Ballistics, Stockholm
.
11.
Gast
,
R.
,
Morris
,
S.
, and
Costello
,
M.
,
1998
, “
Simulation of Shot Impacts for the m1a1 Tank Gun
,”
9th US Army Gun Dynamics Symposium
, November 17–19, 1998, Mclean, VA.
12.
Gast
,
R.
,
Morris
,
S.
, and
Costello
,
M.
,
2000
, “
Simulation of Shot Impacts for the m1a1 Tank Gun
,” US Army Armament Research Development and Engineering Center, Close Combat Armament Center, Benét Laboratories, Technical Report No. ARCCB-TR-00009.
13.
Hasenbein
,
R.
, and
Hyland
,
A.
,
1993
, “
Dynamic Strain Waves and Permanent Bore Enlargement
,”
Proceedings of the Seventh U.S. Army Symposium on Gun Dynamics
, May 11–13 1993, Newport, RI.
14.
Hopkins
,
D. A.
,
1991
, “
Predicting Dynamic Strain Amplification by Coupling a Finite Element Structural Analysis Code With a Gun Interior Ballistic Code
,” Army Armament Research and Development Command Center, Ballistic Research Lab, Aberdeen Proving Ground, MD.
15.
Simkins
,
T.
,
Pflegl
,
T.
, and
Scanlon
,
R.
,
1975
, “
Dynamic Response of the m113 Gun Tube to Travelling Ballistic Pressure Data
,” Benet Weapons Lab Tech Report No. WVT-TR-75015.
16.
Rabern
,
D. A.
, and
Lewis
,
M. W.
,
1992
, “
Two End Three-Dimensional Simulations of Moving Pressure Fronts in Gun Tubes
,”
ASME J. Pressure Vessel Technol.
,
114
(
5
), pp.
181
188
.10.1115/1.2929027
17.
Snyman
,
I. M.
,
1995
, “
The Numerical Simulation of Projectile/Barrel Interaction
,”
15th International Symposium on Ballistics
, May 21–24, 1995, Jerusalem, Israël.
18.
Simkins
,
T. E.
,
Pflegl
,
G. A.
, and
Stilston
,
E. G.
,
1990
, “
Dynamic Strains in a 60 mm Gun Tube, An Experimental Study
,”
Proceedings of the 6th U.S. Army Symposium on Gun Dynamics
, May 15–17, Tamiment, PA.
19.
Andrews
,
T. D.
,
2006
, “
Projectile Driving Band Interactions With Gun Barrels
,”
ASME J. Pressure Vessel Technol.
,
128
(
2
), pp.
273
278
.10.1115/1.2172965
20.
James
,
S. W.
,
Tatam
,
R. P.
,
Fuller
,
S. R.
, and
Crompton
,
C.
, “
Monitoring Transient Strains on a Gun Barrel Using Fibre Bragg-Grating Sensors
,”
Meas. Sci. Technol.
,
10
, p.
63
.10.1088/0957-0233/10/2/002
21.
Bannantine
,
J. A.
, and
Socie
,
D. F.
, 1991,
A Variable Amplitude Multiaxial Fatigue Life Prediction Method, Fatigue Under Biaxial and Multiaxial Loading
,
Mechanical Engineering Publications
,
London
, pp. 35–51.
22.
Lemaître
,
J.
, and
Chaboche
,
J. L.
,
2000
,
Mechanics of Solids Materials
,
Cambridge University Press
, Cambridge, UK.
23.
Langlet
,
A.
,
Safont
,
O.
, and
Renard
,
J.
,
2012
, “
The Response of Infinite Strings and Beams to an Initially Applied Moving Force: Analytical Solution
,”
ASME J. Vib. Acoust.
,
134
(
4
), p.
041005
.10.1115/1.4005847
24.
Wang
,
C. H.
, and
Brown
,
M. W.
,
1996
, “
Life Prediction Techniques for Variable Amplitude Multiaxial Fatigue—Part I: Theories
,”
ASME J. Eng. Mater. Technol.
,
118
(
3
), pp.
367
370
.10.1115/1.2806821
25.
Lagoda
,
T.
,
Macha
,
E.
, and
Bedkowski
,
W.
,
1999
, “
A Critical Plane Approach Based on Energy Concepts: Application to Biaxial Random Tension-Compression High-Cycle Fatigue Regime
,”
Int. J. Fatigue
,
21
(
5
), pp.
431
443
.10.1016/S0142-1123(99)00003-1
26.
Petitpas
,
E.
,
2005
, “
Outils et Approches de Conception Avancée: évaluation de l'amorage de Fissures en Fatigue
,”
Fatigue Des.
, November 16–18, Cetim-Senlis France. Available at: www.fatiguedesign.org
27.
Labesse-Jied
,
F.
,
Lebrun
,
B.
,
Petitpas
,
E.
, and
Robert
,
J. L.
,
2003
, “
Multiaxial Fatigue Assessment of Welded Structures by Local Approach
,”
Biaxial/Multiaxial Fatigue and Fracture
, Vol.
31
, 1st ed.,
Elsevier Science Ltd.
, Oxford, UK.
28.
Allegri
,
G.
, and
Zhang
,
X.
,
2008
, “
On the Inverse Power Laws for Accelerated Random Fatigue Testing
,”
Int. J. Fatigue
,
30
, pp.
967
977
.10.1016/j.ijfatigue.2007.08.023
You do not currently have access to this content.