A dislocation density related constitutive model that accounts for the strain-rate sensitivity of the flow stress and, notable, of the strain-hardening coefficient was applied to describe adiabatic shear banding in face centered cubic metals. The parameter values of a prototype material, for which numerical simulations were carried out, are close to those of copper. The effect of the material parameters, especially of those reflecting the two rate sensitivities, on the occurrence of strain localization in a thin-walled tube under torsion containing a geometrical defect was investigated systematically. The results obtained provide some guidance with respect to design of materials with high resistance to strain localization and high mechanical energy absorption. Another outcome of this study is the recognition that for the problem in question linear stability analysis cannot provide a reliable criterion even for the onset of strain localization, and that numerical simulations have to be invoked.
1.
Bai
Y.
1982
, “Thermo-Plastic Instability in Simple Shear
,” Journal of Mechanics and Physics of Solids
, Vol. 30
, pp. 195
–207
.2.
Bai, Y., and Dodd, B., 1992, Adiabatic Shear Localization, Pergamon Press, Oxford.
3.
Bodner
S. R.
Partom
Y.
1975
, “Constitutive Equations for Elastic-Viscoplastic Strain-Hardening Materials
,” ASME Journal of Applied Mechanics
, Vol. 42
, pp. 385
–389
.4.
Bodner
S. R.
Rubin
M. B.
1994
, “Modelling of Hardening at Very High Strain Rates
,” J. Appl. Phys.
, Vol. 76
, pp. 2742
–2747
.5.
Carter
C. B.
Ray
I. J. F.
1977
, “On the Stacking Fault Energy in Copper Alloys
,” Philosophical Magazine
, Vol. 35
, pp. 189
–200
.6.
Clifton, R. J., 1978, “Adiabatic Shear,” Report to the NRC Committee on Material Response to Ultra-High Loading Rates, pp. 1–18.
7.
Dinzart
F.
Fressengeas
C.
Molinari
A.
1994
, “Localisation de la De´formation Plastique en Cisaillement Simple: Effets Locaux de Ge´ome´trie et d’Inhomoge´ne´ite´ Mate´rielle
,” Comptes Rendus de I’Acade´mie des Sciences
, Paris, Se´rie II, Vol. 319
, pp. 381
–386
.8.
Duffy, J., 1982, “The Dynamic Plastic Deformation of Metals: A Review,” AFWAL-TR-82-4024 Report, Materials Laboratory, Air Force Wright Aeronautical Laboratories, Ohio.
9.
Duffy
J.
1991
, “Experimental Studies of Shear Band Formation through Temperature Measurements and High Speed Photography
,” Journal de Physique IV Coll.
C3
, pp. 646
–652
.10.
Estrin
Y.
Mecking
H.
1984
, “A Unified Phenomenological Description of Work Hardening and Creep Based on One-Parameter Models
,” Acta Metallurgica
, Vol. 32
, pp. 57
–70
.11.
Estrin, Y., and H. Mecking, 1985, “Plastic Instability and Rupture Life in Tension Creep,” Strength of Metals and Alloys, McQueen, H. J., Ballon, J.-p., Dickson, J. I., Jonas, J. J., and Akben, M. G., eds., Pergamon Press, Oxford, Vol. 1, pp. 589–594.
12.
Estrin, Y., 1991, “A Versatile Unified Constitutive Model Based on Dislocation Density Evolution,” High Temperature Constitutive Modeling—Theory and Application, Freed, A. D. and Walker, K. P., eds., MD-Vol. 26/AMD 26/AMD, Vol. 121, ASME, pp. 65–83.
13.
Estrin, Y., 1996, “Dislocation Density-Related Constitutive Modelling,” Unified Constitutive Laws of Plastic Deformation, A. S. Krausz and K. Krausz, eds., Academic Press, pp. 69–106.
14.
Follansbee
P. S.
Kocks
U. F.
1988
, “A Constitutive Description of the Deformation of Copper Based on the Use of Mechanical Threshold Stress as an Internal State Variable
,” Acta Metallurgica
, Vol. 36
, pp. 81
–93
.15.
Fressengeas
C.
Molinari
A.
1987
, “Instability and Localization of Plastic Flow in Shear at High Strain Rates
,” Journal of Mechanics and Physics of Solids
, Vol. 35
, pp. 185
–211
.16.
Gray, G. T., Chen, S. R., Wright, W., and Lopez, M. F., “Constitutive Equations for Annealed Metals Under Compression at High Strain Rates and High Temperatures,” LA-122669-MS Report, Los Alamos National Laboratory, Los Alamos, New Mexico.
17.
Johnson
G. R.
1981
, “Dynamic Analysis of a Torsion Test Specimen Including Heat Conduction and Plastic Flow
,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol. 103
, pp. 201
–206
.18.
Klepaczko
J.
1975
, “Thermally Activated Flow and Strain rate History Effects for Some Polycrystalline f.c.c. Metals
,” Materials Science and Engineering
, Vol. 18
, pp. 121
–135
.19.
Klepaczko
J. R.
Chiem
C. Y.
1986
, “On Rate Sensitivity of f.c.c. Metals, Instantaneous Rate Sensitivity and Rate Sensitivity of Strain Hardening
,” Journal of Mechanics and Physics of Solids
, Vol. 34
, pp. 29
–54
.20.
Klepaczko
J. R.
Sasaki
T.
Kurokawa
T.
1993
, “On Rate Sensitivity of Polycrystalline Aluminium at High Strain Rates
,” Transactions of the Japan Society for Aeronautical and Space Sciences
, Vol. 36
, pp. 170
–187
.21.
Kobayashi, H., 1987, “Shear Localization and Fracture in Torsion of Metals,” PhD thesis, Univ. of Reading.
22.
Kocks
U. F.
1976
, “Laws for Work-Hardening and Low-Temperature Creep
,” ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY
, Vol. 98
, pp. 76
–85
.23.
Kocks, U. F., Argon, A. S., and Ashby, M. P., 1975, Thermodynamics and Kinetics of Slip, Pergamon Press, Oxford.
24.
Kocks, U. F., and Mecking, H., 1976, “Strain Hardening and Strain Softening,” Symposium on Advances in Metal Deformation: Phenomena and Mechanisms, Cornell University, Oct.
25.
Litonski
J.
1976
, “Plastic Flow of a Tube under Adiabatic Torsion
,” Bulletin de l’Acade´mie Polonaise des Sciences, Se´rie des Sciences Techniques
, Vol. 25
, pp. 1
–8
.26.
Marchand
A.
Duffy
J.
1988
, “An Experimental Study of the Formation process of Adiabatic Shear Bands in a Structural Steel
,” Journal of Mechanics and Physics of Solids
, Vol. 36
, pp. 251
–267
.27.
Mecking
H.
Nicklas
B.
Zarubova
N.
Kocks
U. F.
1986
, “A ‘Universal’ Temperature Scale for Plastic Flow
,” Acta Metallurgica
, Vol. 34
, pp. 527
–535
.28.
Merzer
A. M.
1982
, “Modelling of Adiabatic Shear Band Development from Small Imperfections
,” Journal of Mechanics and Physics of Solids
, Vol. 30
, pp. 323
–338
.29.
Molinari
A.
1985
, “Instabilite´ thermoviscoplastique en cisaillement simple
,” Journal de Me´canique The´orique et Applique´e
, Vol. 4
, pp. 659
–684
.30.
Molinari
A.
1988
, “Shear Band Analysis
,” Solid State Phenomena
, Vols. 3 and 4
, pp. 447
–468
.31.
Molinari
A.
Clifton
R. J.
1983
, “Localisation de la De´formation Viscoplastique en Cisaillement Simple; Re´sultats Exacts en The´orie Non Line´aire
,” Comptes Rendus de l’Acade´mie des Sciences
, Paris, Se´rie II, Vol. 296
, pp. 1
–4
.32.
Molinari
A.
Clifton
R. J.
1987
, “Analytical Characterization of Shear Localization in Thermoviscoplastic Materials
,” ASME JOURNAL OF APPLIED MECHANICS
, Vol. 54
, pp. 806
–812
.33.
Molinari
A.
Estrin
Y.
Dudzinski
D.
1993
, “Thermomechanical Instability Associated with Heat Release during Plastic Flow
,” International Journal of Plasticity
, Vol. 9
, pp. 317
–343
.34.
Rogers
H. C.
1979
, “Adiabatic Plastic Deformation
,” Annals and Reviews of Materials Science
, Vol. 9
, pp. 283
–311
.35.
Shawki, T. G., 1986, “Analysis of Shear Band Formation at High Strain Rates and Viscoplastic Response of Polycrystals,” PhD thesis, Brown University, Providence, R.I.
36.
Tong
W.
Clifton
R. J.
Huang
S.
1992
, “Pressure-Shear Impact Investigation of Strain Rate History Effects in Oxygen-Free High-Conductivity Copper
,” Journal of Mechanics and Physics of Solids
, Vol. 40
, pp. 1251
–1294
.37.
Wright
T. W.
Batra
R. C.
1985
, “Initiation and Growth of Adiabatic Shear Bands
,” International Journal of Plasticity
, Vol. 1
, pp. 205
–212
.38.
Wright
T. W.
1990
, “Approximate Analysis for the Formation of Adiabatic Shear Bands
,” Journal of Mechanics and Physics of Solids
, Vol. 38
, pp. 515
–526
.
This content is only available via PDF.
Copyright © 1997
by The American Society of Mechanical Engineers
You do not currently have access to this content.
