The theoretical foundation of Youngdahl’s correlation parameters, which have been used to eliminate pulse shape effects in the dynamic plastic response of two-dimensional structural members, is studied in the present paper with the aid of bounds obtained for a rigid-plastic material. It is shown that Youngdahl’s empirical estimate for the structural response time is, in general, a lower bound on the actual response time. A lower bound expression is obtained for the maximum final displacement of a two-dimensional structural member when subjected to an axisymmetrically loaded transverse time-dependent pulse, which depends only on Youngdahl’s correlation parameters, and offers a theoretical foundation for the validity of Youngdahl’s correlation parameter method.

1.
Symonds
,
P. S.
,
1953
, “
Dynamic Load Characteristics in Plastic Bending of Beams
,”
ASME J. Appl. Mech.
,
20
, pp.
475
481
.
2.
Abrahamson
,
G. R.
, and
Lindberg
,
H. E.
,
1976
, “
Peak Load—Impulse Characterization of Critical Pulse Loads in Structural Dynamics
,”
Nucl. Eng. Des.
,
37
, pp.
35
46
.
3.
Mays, G. C., and Smith, P. D., 1995, Blast Effects on Buildings—Design of Buildings to Optimize Resistance to Blast Loading, Thomas Telford, London.
4.
Hodge
, Jr.,
P. G.
,
1956
, “
The Influence of Blast Characteristics on the Final Deformation of Circular Cylindrical Shells
,”
ASME J. Appl. Mech.
,
23
, pp.
617
624
.
5.
Youngdahl
,
C. K.
,
1970
, “
Correlation Parameters for Eliminating the Effect of Pulse Shape on Dynamic Plastic Deformation
,”
ASME J. Appl. Mech.
,
37
, pp.
744
752
.
6.
Youngdahl
,
C. K.
,
1971
, “
Influence of Pulse Shape on the Final Plastic Deformation of a Circular Plate
,”
Int. J. Solids Struct.
,
7
, pp.
1127
1142
.
7.
Jones
,
N.
,
1985
, “
Bounds on the Dynamic Plastic Behavior of Structures Including Transverse Shear Effects
,”
Int. J. Impact Eng.
,
3
, pp.
273
291
.
8.
Zhu
,
G.
,
Huang
,
Y. G.
,
Yu
,
T. X.
, and
Wang
,
R.
,
1986
, “
Estimation of the Plastic Structural Response Under Impact
,”
Int. J. Impact Eng.
,
4
, pp.
271
282
.
9.
Li
,
Q. M.
, and
Jones
,
N.
,
1994
, “
Blast Loading of Fully Clamped Circular Plates With Transverse Shear Effects
,”
Int. J. Solids Struct.
,
31
, pp.
1861
1876
.
10.
Li
,
Q. M.
, and
Jones
,
N.
,
1995
, “
Blast Loading of Fully Clamped Beams With Transverse Shear Effects
,”
Mech. Struct. Mach.
,
23
, pp.
59
86
.
11.
Li
,
Q. M.
, and
Jones
,
N.
,
1995
, “
Blast Loading of a “Short” Cylindrical Shell With Transverse Shear Effects
,”
Int. J. Impact Eng.
,
16
, pp.
331
353
.
12.
Li, Q. M., and Shu, X. F., 1992, “Elimination of Loading Shape Effects on Blast Loading Beams in Damping Medium,” Proc. of the 2nd Int. Symposium on Intense Dynamic Loading and Its Effects, Chengdu, pp. 480–483.
13.
Martin
,
J. B.
,
1964
, “
Impulsive Loading Theorems for Rigid-Plastic Continua
,”
ASCE J. Eng. Mech. Div.
,
90
, pp.
27
42
.
14.
Martin
,
J. B.
,
1965
, “
A Displacement Bound Principle for Inelastic Continua Subjected to Certain Classes of Dynamic Loading
,”
ASME J. Appl. Mech.
,
32
, pp.
1
6
.
15.
Robinson
,
D. N.
,
1970
, “
A Displacement Bound Principle for Elastic-Plastic Structures Subjected to Blast Loading
,”
J. Mech. Phys. Solids
,
18
, pp.
65
80
.
16.
Ploch
,
J.
, and
Wierzbicki
,
T.
,
1981
, “
Bounds for Large Plastic Deformations of Dynamically Loaded Continua and Structures
,”
Int. J. Solids Struct.
,
17
, pp.
183
195
.
17.
Morales
,
W. J.
, and
Nevill
, Jr.,
G. E.
,
1970
, “
Lower Bounds on Deformations of Dynamically Loaded Rigid-Plastic Continua
,”
AIAA J.
,
8
, pp.
2043
2046
.
18.
Wierzbicki
,
T.
,
1971
, “
Improved Lower Bound Theorem for Impulsively Loaded Continua
,”
Arch. Mech.
,
23
, pp.
423
425
.
19.
Wierzbicki
,
T.
,
1972
, “
Comment on Lower Bounds on Deformations of Dynamically Loaded Rigid-Plastic Continua
,”
AIAA J.
,
10
, pp.
363
364
.
20.
Morales
,
W. J.
,
1972
, “
Displacement Bounds for Blast Loaded Structures
,”
ASCE J. Eng. Mech. Div.
,
98
, pp.
965
974
.
21.
Stronge
,
W. J.
,
1983
, “
Lower Bound on Deformation for Dynamically Loaded Rigid-Plastic Structures
,”
Int. J. Solids Struct.
,
19
,
1049
1063
.
22.
Kaliszky
,
S.
,
1970
, “
Approximate Solutions for Impulsively Loaded Inelastic Structures and Continua
,”
Int. J. Non-Linear Mech.
,
5
, pp.
143
158
.
23.
Stronge
,
W. J.
,
1985
, “
Accuracy of Bounds of Plastic Deformation for Dynamically Loaded Plates and Shells
,”
Int. J. Mech. Sci.
,
27
, pp.
97
104
.
24.
Jones, N., 1989, Structural Impact, Cambridge University Press, Cambridge (paperback edition, 1997).
25.
Martin, J. B., 1975, Plasticity: Fundamentals and General Results, MIT Press, Cambridge.
26.
Li
,
Q. M.
, and
Meng
,
H.
,
2002
, “
Pulse Loading Shape Effects on Pressure-Impulse Diagram of Elastic-Plastic Structures
,”
Int. J. Mech. Sci.
,
44
, pp.
1985
1998
.
You do not currently have access to this content.