This work brings forward a twofold contribution relevant to the adiabatic shear banding (ASB) process as a part of dynamic plasticity of high-strength metallic materials. The first contribution is a reassessment of a three-dimensional finite deformation model starting from a specific scale postulate and devoted to cover a wide range of dissipative phenomena, including ASB-related material instabilities (strong softening prefailure stage). The model, particularly destined to deal with impacted structures was first detailed by (Longère et al. 2003, “Modelling Adiabatic Shear Banding Via Damage Mechanics Approach,” Arch. Mech., 55, pp. 3–38; 2005, “Adiabatic Shear Banding Induced Degradation in a Thermo-Elastic/Viscoplastic Material Under Dynamic Loading,” Int. J. Impact Eng., 32, pp. 285–320). The second novel contribution concerns numerical solution of a genuine ballistic penetration problem employing the above model for a target plate material. The ASB trajectories are shown to follow a multistage history and complex distribution pattern leading finally to plugging failure mechanism. The corresponding analysis and related parametric study are intended to put to the test the pertinency of the model as an advanced predictive tool for complex shock related problems.

1.
Molinari
,
A.
,
Musquar
,
C.
, and
Sutter
,
G.
, 2002, “
Adiabatic Shear Banding in High Speed Machining of Ti–6Al–4V: Experiments and Modeling
,”
Int. J. Plast.
,
18
(
4
), pp.
443
459
. 0749-6419
2.
Burns
,
T. J.
, and
Davies
,
M. A.
, 2002, “
On Repeated Adiabatic Shear Band Formation During High Speed Machining
,”
Int. J. Plast.
,
18
, pp.
487
506
. 0749-6419
3.
Stevens
,
J. B.
, and
Batra
,
R. C.
, 1998, “
Adiabatic Shear Bands in the Taylor Impact Test for a WHA Rod
,”
Int. J. Plast.
0749-6419,
14
, pp.
841
854
.
4.
Martinez
,
F.
,
Murr
,
L. E.
,
Ramirez
,
A.
,
Lopez
,
M. I.
, and
Gaytan
,
S. M.
, 2007, “
Dynamic Deformation and Adiabatic Shear Microstructures Associated With Ballistic Plug Formation and Fracture in Ti–6Al–4V Targets
,”
Mater. Sci. Eng., A
,
454–455
, pp.
581
589
. 0921-5093
5.
Bai
,
Y. L.
, 1982, “
Thermo-Plastic Instability in Simple Shear
,”
J. Mech. Phys. Solids
0022-5096,
30
(
4
), pp.
195
207
.
6.
Clifton
,
R. J.
,
Duffy
,
J.
,
Hartley
,
K. A.
, and
Shawki
,
T. G.
, 1984, “
On Critical Conditions for Shear Band Formation at High Strain Rates
,”
Scr. Metall.
0036-9748,
18
, pp.
443
448
.
7.
Molinari
,
A.
, 1985, “
Instabilité thermoviscoplastique en cisaillement simple
,”
J. Mec. Theor. Appl.
0750-7240,
4
, pp.
659
684
.
8.
Molinari
,
A.
, 1997, “
Collective Behavior and Spacing of Adiabatic Shear Bands
,”
J. Mech. Phys. Solids
0022-5096,
45
, pp.
1551
1575
.
9.
Klepaczko
,
J. R.
, 1994, “
Some Results and New Experimental Technique in Studies of Adiabatic Shear Bands
,”
Arch. Mech.
0373-2029,
46
, pp.
201
229
.
10.
Perzyna
,
P.
, 1990, “
Influence of Anisotropic Effects on the Micro-Damage Process in Dissipative Solids
,”
Yielding, Damage, and Failure of Anisotropic Solids
,
J. P.
Boehler
, ed.,
Mechanical Engineering
,
London
, pp.
483
507
.
11.
Lodygowski
,
T.
, and
Perzyna
,
P.
, 1997, “
Localized Fracture in Inelastic Polycrystalline Solids Under Dynamic Loading Processes
,”
Int. J. Damage Mech.
1056-7895,
6
, pp.
364
407
.
12.
Marchand
,
A.
, and
Duffy
,
J.
, 1988, “
An Experimental Study of the Formation Process of Adiabatic Shear Bands in a Structural Steel
,”
J. Mech. Phys. Solids
0022-5096,
36
(
3
), pp.
251
283
.
13.
Liao
,
S. -C.
, and
Duffy
,
J.
, 1998, “
Adiabatic Shear Bands in a Ti–6Al–4V Titanium Alloy
,”
J. Mech. Phys. Solids
,
46
(
11
), pp.
2201
2231
. 0022-5096
14.
Zener
,
C.
, and
Hollomon
,
J. H.
, 1944, “
Effect of Strain Rate Upon Plastic Flow of Steel
,”
J. Appl. Phys.
0021-8979,
15
, pp.
22
32
.
15.
Recht
,
R. F.
, 1964, “
Catastrophic Thermoplastic Shear
,”
ASME J. Appl. Mech.
,
31E
, pp.
189
193
. 0021-8936
16.
Pecherski
,
R. B.
, 1998, “
Macroscopic Effects of Micro-Shear Banding in Plasticity of Metals
,”
Acta Mech.
,
131
, pp.
203
224
. 0001-5970
17.
Couque
,
H.
, 2003, “
Essais chapeau hydrodynamique d’un acier
,” GIAT Industries, Technical Note DSAM/DT/MCP/3050.13.03C.
18.
Longère
,
P.
,
Dragon
,
A.
,
Trumel
,
H.
,
de Resseguier
,
T.
,
Deprince
,
X.
, and
Petitpas
,
E.
, 2003, “
Modelling Adiabatic Shear Banding Via Damage Mechanics Approach
,”
Arch. Mech.
0373-2029,
55
, pp.
3
38
.
19.
Longère
,
P.
,
Dragon
,
A.
,
Trumel
,
H.
, and
Deprince
,
X.
, 2005, “
Adiabatic Shear Banding Induced Degradation in a Thermo-Elastic/Viscoplastic Material Under Dynamic Loading
,”
Int. J. Impact Eng.
,
32
, pp.
285
320
. 0734-743X
20.
Voyiadjis
,
G. Z.
,
Abu Al-Rub
,
R. K.
, and
Palazotto
,
A. N.
, 2003, “
Non-Local Coupling of Viscoplasticity and Anisotropic Viscodamage for Impact Problems Using the Gradient Theory
,”
Arch. Mech.
0373-2029,
55
, pp.
39
89
.
21.
Coleman
,
B. D.
, and
Gurtin
,
M. E.
, 1967, “
Thermodynamics With Internal State Variables
,”
J. Chem. Phys.
0021-9606,
47
, pp.
597
613
.
22.
Meixner
,
J.
, 1969, “
Processes in Simple Thermodynamic Materials
,”
Arch. Ration. Mech. Anal.
,
33
, pp.
33
53
. 0003-9527
23.
Bataille
,
J.
, and
Kestin
,
J.
, 1975, “
L’interprétation physique de la thermodynamique rationnelle
,”
J. Mec.
0021-7832,
14
(
2
), pp.
365
384
.
24.
Sidoroff
,
F.
, and
Dogui
,
A.
, 2001, “
Some Issues About Anisotropic Elastic-Plastic Models at Finite Strain
,”
Int. J. Solids Struct.
0020-7683,
38
, pp.
9569
9578
.
25.
Longère
,
P.
, and
Dragon
,
A.
, 2007, “
Adiabatic Heat Evaluation for Dynamic Plastic Localization
,”
J. Theor. Appl. Mech.
,
45
(
2
), pp.
203
223
.
26.
Batra
,
R. C.
, and
Lear
,
M. H.
, 2005, “
Adiabatic Shear Banding in Plane Strain Tensile Deformations of 11 Thermoelastoviscoplastic Materials With Finite Thermal Wave Speed
,”
Int. J. Plast.
,
21
, pp.
1521
1545
. 0749-6419
27.
Kulkarni
,
M.
,
Belytschko
,
T.
, and
Bayliss
,
A.
, 1995, “
Stability and Error Analysis for Time Integrators Applied to Strain-Softening Materials
,”
Comput. Methods Appl. Mech. Eng.
0045-7825,
124
, pp.
335
363
.
28.
Suffis
,
A.
,
Lubrecht
,
A. A.
, and
Combescure
,
A.
, 2003, “
A Damage Model With Delay Effect. Analytical and Numerical Studies of the Evolution of the Characteristic Damage Length
,”
Int. J. Solids Struct.
,
40
, pp.
3463
3476
. 0020-7683
29.
Couque
,
H.
, 2003, “
A Hydrodynamic Hat Specimen to Investigate Pressure and Strain Rate Dependence on Adiabatic Shear Band Formation
,”
J. Phys. IV
,
110
, pp.
423
428
. 1155-4339
30.
Bronkhorst
,
C. A.
,
Cerreta
,
E. K.
,
Xue
,
Q.
,
Maudlin
,
P. J.
,
Mason
,
T. A.
, and
Gray
,
G. T.
, III
, 2006, “
An Experimental and Numerical Study of the Localization Behavior of Tantalum and Stainless Steel
,”
Int. J. Plast.
0749-6419,
22
, pp.
1304
1335
.
31.
DeLuca
,
E.
,
Prifti
,
J.
,
Betheney
,
W.
, and
Chou
,
S. C.
, 1997, “
Ballistic Impact Damage of S 2-Glass-Reinforced Plastic Structural Armor
,”
Compos. Sci. Technol.
0266-3538,
58
, pp.
1453
1461
.
32.
Mahfuz
,
H.
,
Zhu
,
Y.
,
Haque
,
A.
,
Abutalib
,
A.
,
Vaidya
,
U.
,
Jeelani
,
S.
,
Gama
,
B.
,
Gillespie
,
J.
, and
Fink
,
B.
, 2000, “
Investigation of High-Velocity Impact on Integral Armor Using Finite Element Method
,”
Int. J. Impact Eng.
0734-743X,
24
, pp.
203
217
.
33.
Backman
,
M. E.
, and
Goldsmith
,
W.
, 1978, “
The Mechanics of Penetration of Projectiles Into Targets
,”
Int. J. Eng. Sci.
0020-7225,
16
, pp.
1
99
.
34.
Woodward
,
R. L.
, 1990, “
Material Failure At High Strain Rates
,”
High Velocity Impact Dynamics
,
J. A.
Zukas
, ed.,
Wiley
,
New York
, pp.
65
125
.
35.
Johnson
,
G. R.
, and
Cook
,
W. H.
, 1983,
A Constitutive Model and Data for Metals Subjected to Large Strains, High Strain Rates and High Temperatures
,
Proceedings of the Seventh International Symposium on Ballistics
, The Hague, The Netherlands, pp.
541
547
.
36.
Børvik
,
T.
,
Hopperstad
,
O. S.
,
Berstad
,
T.
, and
Langseth
,
M.
, 2001, “
Numerical Simulation of Plugging Failure in Ballistic Penetration
,”
Int. J. Solids Struct.
,
38
, pp.
6241
6264
. 0020-7683
37.
Camacho
,
G. T.
, and
Ortiz
,
M.
, 1997, “
Adaptive Lagrangian Modelling of Ballistic Penetration of Metallic Targets
,”
Comput. Methods Appl. Mech. Eng.
0045-7825,
142
, pp.
269
301
.
38.
Nesterenko
,
V. F.
,
Meyers
,
M. A.
, and
Wright
,
T. W.
, 1998, “
Self-Organization in the Initiation of Adiabatic Shear Bands
,”
Acta Mater.
,
46
(
1
), pp.
327
340
. 1359-6454
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