An approximate quasi-static theoretical analysis is presented for the behavior of punch-impact-loaded metal plates. Based on the principle of virtual work, load-deflection relationships are first obtained and then used to predict the energy-absorbing capabilities of plates subjected to low-velocity impacts that cause perforation. It is demonstrated that the theoretical predictions are in good agreement with experimental observations on fully clamped steel plates when material strain rate sensitivity is taken into consideration and provided that perforation does not occur by adiabatic shear plugging.

1.
Bai
Y. L.
, and
Johnson
W.
,
1982
, “
Plugging: Physical Understanding and Energy Absorption
,”
Metals Technology
, Vol.
9
, pp.
182
190
.
2.
Calladine, C. R., 1968, “Simple Ideas in the Large-Deflection Plastic Theory of Plates and Slabs,” Engineering Plasticity, eds., J. Heyman F. A. Leckie, Cambridge University Press, Cambridge, U.K., pp. 93–127.
3.
Corran
R. S. J.
,
Shadbolt
P. J.
, and
Ruiz
C.
,
1983
, “
Impact Loading of Plates—An Experimental Investigation
,”
International Journal of Impact Engineering
, Vol.
1
(
1
), pp.
3
22
.
4.
Eason
G.
,
1958
, “
Velocity Fields for Circular Plates with the Von Mises Yield Conditions
,”
Journal of Mechanics and Physics of Solids
, Vol.
6
, pp.
231
235
.
5.
Goldsmith, W., 1960, Impact, Edward Arnold, London, U.K.
6.
Johnson, W., 1972, Impact Strength of Materials, Edward Arnold, London and Crane Russak, New York, NY.
7.
Jones
N.
,
1971
, “
A Theoretical Study of the Dynamic Plastic Behaviour of Beams and Plates with Finite Deflections
,”
International Journal of Solids and Structures
, Vol.
7
, pp.
1007
1029
.
8.
Jones, N., 1989, Structural Impact, Cambridge University Press, U.K.
9.
Jones
N.
,
1995
, “
Quasi-Static Analysis of Structural Impact Damage
,”
Journal of Constructional Steel Research
, Vol.
33
, pp.
151
177
.
10.
Langseth
M.
, and
Larsen
P. K.
,
1990
, “
Dropped Objects’ Plugging Capacity of Steel Plates: An Experimental Investigation
,”
International Journal of Impact Engineering
, Vol.
9
(
3
), pp.
289
316
.
11.
Langseth
M.
, and
Larsen
P. K.
,
1992
, “
The Behaviour of Square Steel Plates Subjected to a Circular Blunt Ended Load
,”
International Journal of Impact Engineering
, Vol.
12
(
4
), pp.
617
638
.
12.
Onat
E. T.
, and
Haythornthwaite
R. M.
,
1956
, “
The Load-Carrying Capacity of Circular Plates at Large Deflection
,”
ASME Journal of Applied Mechanics
, Vol.
23
, pp.
49
55
.
13.
Perrone
N.
, and
Bhadra
P.
,
1979
, “
A Simplified Method to Account for Plastic Rate Sensitivity with Large Deformations
,”
ASME Journal of Applied Mechanics
, Vol.
46
, pp.
811
816
.
14.
Perrone
N.
, and
Bhadra
P.
,
1984
, “
Simplified Large Deflection Mode Solution for Impulsively Loaded, Viscoplastic, Circular Membranes
,”
ASME Journal of Applied Mechanics
, Vol.
51
, pp.
505
509
.
15.
Reid, S. R., ed., 1985, Metal Forming and Impact Mechanics, Pergamon Press, Oxford, U.K.
16.
Save, M. A., and Massonnet, C. E., 1971, “Plastic Analysis and Design of Plates, Shells and Disks,” NHPC, Amsterdam, The Netherlands.
17.
Sawczuk, A., 1964, “Large Deflections of Rigid-Plastic Plates,” Proceedings of the Eleventh International Congress of Applied Mechanics, pp. 224–228.
18.
Shen
W. Q.
, and
Jones
N.
,
1991
, “
A Comment on the Low Speed Impact of a Clamped Beam by a Heavy Striker
,”
Mechanics of Structures and Machines
, Vol.
19
(
4
), pp.
527
549
.
19.
Symonds, P. S., 1967, “Survey of Methods of Analysis for Plastic Deformation of Structures Under Dynamic Loading,” Brown University, Division of Engineering Report BU/NSRDC/1-67.
20.
Wen, H. M., and Jones, N., 1992, “Semi-Empirical Equations for the Perforation of Plates Struck by a Mass,” Structures Under Shock and Impact II, ed., P. S. Bulson, Computational Mechanics Publications, Southampton and Boston and Thomas Telford, London, U.K., pp. 369–380.
21.
Wen
H. M.
, and
Jones
N.
,
1993
, “
Experimental Investigation of the Scaling Laws for Metal Plates Struck by Large Masses
,”
International Journal of Impact Engineering
, Vol.
13
(
3
), pp.
485
505
.
22.
Wen
H. M.
, and
Jones
N.
,
1994
, “
Experimental Investigation into the Dynamic Plastic Response and Perforation of a Clamped Circular Plate Struck Transversely by a Mass
,” Proc. Instn. Mech. Engrs.,
Journal of Mechanical Engineering Science
, Vol.
208
(
C2
), pp.
113
137
.
23.
Wen
H. M.
,
Reddy
T. Y.
, and
Reid
S. R.
,
1995
, “
Deformation and Failure of Clamped Beams under Low Speed Impact Loading
,”
International Journal of Impact Engineering
, Vol.
16
(
3
), pp.
435
454
.
24.
Yu
J. L.
, and
Jones
N.
,
1991
, “
Further Experimental Investigation of a Clamped Beam Under Impact Loading
,”
International Journal of Solids and Structures
, Vol.
27
(
9
), pp.
1113
1137
.
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