A failure criterion based on material instability

International Journal of Solids and Structures

Volumn 40, Issue 12, 2003, Pages 3021-3037

  Schoenfeld, S E ^a   Wright, T W ^a  

^a U S ARMY RESEARCH LABORATORY   (United States)

Author keywords

Adiabatic shear bands; Failure modeling

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; DEFORMATION; SHEAR STRESS; WAVE PROPAGATION;

ADIABATIC SHEAR BANDS;

MATERIALS SCIENCE;

FAILURE;

EID: 0037799736     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(03)00059-3     Document Type: Article

References (39)

1. Bai, Y. L. (1982). Thermo-plastic instability in simple shear. Journal of the Mechanics and Physics of Solids, 30 195-207.
2. Bai, Y. L., Dodd, B. (1992). Adiabatic Shear Localization. Oxford: Pergamon Press.
3. Becker, R. (2002). Ring fragmentation predictions using the Gurson model with material stability conditions as failure criteria. International Journal of Solids and Structures, 39 3555-3580.
4. Bonnet-Lebouvier, A. S., Molinari, A., Lipinski, P. (2002). Analysis of the dynamic propagation of adiabatic shear bands. International Journal of Solids and Structures, 39 4249-4269.
5. Børvik, T., Hopperstad, O. S., Berstad, T., Langseth, M. (2002). Perforation of 12 mm thick steel plates by 20 mm diameter projectiles with flat, hemispherical and conical noses. Part II: numerical simulations. International Journal of Impact Engineering, 27 37-64.
6. Burkins, M.S., Love, W.W., Wood, J.R., 1997. Effect of annealing temperature on the ballistic limit velocity of Ti-6Al-4V ELI. ARL-MR-359
7. Burkins, M.S., Hansen, J.S., Paige, J.I., Turner, P.C., 2000. The effect of thermo-mechanical processing on limit velocity of extra low interstitial titanium alloys. ARL-MR-486
8. Clifton, R. J. (1980). Adiabatic shear banding. Materials Response to Ultra-High Loading Rates. NMAB-356, Washington, DC: National Academy of Sciences.
9. Curran, D. R., Seaman, L. (1986). Computational models for nucleation, growth, and coalescence of adiabatic shear bands. In Y. M. Gupta (Ed.), Shock Waves in Condensed Matter, 315-320. New York: Plenum.
10. Curran, D. R., Seaman, L., Shockey, D. A. (1987). Dynamic failure of solids. Physics Reports, 147 253-388.
11. Drucker, D. C. (1959). A definition of stable inelastic material. Journal of Applied Mechanics, Transaction of the American Society of Mechanical Engineers, 81 101-106.
12. Duffy, J., Chi, Y. C. (1992). On the measurement of local strain and temperature during the formation of adiabatic shear bands. Materials Science and Engineering A, 157 195-210.
13. Erlich, D.C., Seaman, L., Shockey, D.A., Curran, D.R., 1980. Development and application of a computational shear band model. BRL-CR-00416
14. Grady, D. E., Kipp, M. E. (1987). The growth of unstable thermoplastic shear with application to steady-wave shock compression in solids. Journal of the Mechanics and Physics of Solids, 35 95-120.
15. Guduru, P. R., Rosakis, A. J., Ravichandran, G. (2001). Dynamic shear bands: an investigation using high speed optical and infrared diagnostics. Mechanics of Materials, 33 371-402.
16. Johnson, G.R., Cook, W.H., 1983. A constitutive model and data for metals subjected to large strains, high strain rates, and high temperatures. In: Proceedings of Seventh International Symposium on Ballistics, The Hague, The Netherlands, pp. 541-547
17. Johnson, G. R., Cook, W. H. (1985). Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Engineering Fracture Mechancis, 21 31-48.
18. Johnson, G.R., Stryk, R.A., Holmquist, T.J., Beissel, S.R., 1997. Numerical Algorithms in a Lagrangian Hydrocode. WL-TR-1997-7093
19. Kad, B. K., Schoenfeld, S. E., Burkins, M. S. (2000). Computational modeling of through-thickness dynamic impact response in cross-rolled Ti-6Al-4V plates. Metallurgical and Materials Transactions A, 33A 937-947.
20. Kalthoff, J. F. (2000). Modes of dynamic shear failure in solids. International Journal of Fracture, 101 1-31.
21. Li, Q. M., Jones, N. (2002). Response and failure of double-shear beam subjected to mass impact. International Journal of Solids and Structures, 39 1919-1947.
22. Magness, L. S. (1994). High strain rate deformation behaviors of kinetic energy penetrator materials during ballistic impact. Mechanics of Materials, 17 147-154.
23. Marchand, A., Duffy, J. (1988). An experimental study of the formation process of adiabatic shear bands in a structural steel. Journal of the Mechanics and Physics of Solids, 36 251-283.
24. Merzer, A. M. (1982). Modeling of adiabatic shear band development from small imperfections. Journal of the Mechanics and Physics of Solids, 30 323-338.
25. Molinari, A., Clifton, R. J. (1987). Analytical characterization of shear localization in thermoviscoplastic materials. Journal of Applied Mechanics, 54 806-812.
26. Raftenberg, M. N. (2001). A shear banding model for penetration calculations. International Journal of Impact Engineering, 25 123-146.
27. Raftenberg, M. N., Krause, C. D. (1999). Metallographic observations of armor steel specimens from plates perforated by shaped charge jets. International Journal of Impact Engineering, 23 757-770.
28. Rice, J. R. (1976). The localization of plastic deformation. In W. T. Koiter (Ed.), Proceedings of the 14th International Congress on Theoretical and Applied Mechanics, 207-220. Amsterdam: Noth-Holland Publishing Co..
29. Saje, M., Pan, J., Needleman, A. (1982). Void nucleation effects on shear localization in porous plastic solids. International Journal of Fracture, 19 163-182.
30. Weerasooriya, T., Magness, L., Burkins, M. S. (2001). High strain-rate behavior of two Ti-6Al-4V alloys with different microstructures. In K. Staudhammer, L. Murr, M. A. Meyers (Eds.), Fundamental Issues and Applications of Shock-Wave and High-Strain-Rate Phenomena, 33-36. Albuquerque: Elsevier.
31. Wright, T. W. (1990). Approximate analysis for the formation of adiabatic shear bands. Journal of the Mechanics and Physics of Solids, 38 515-530.
32. Wright, T. W. (1992). Shear band susceptibility: work hardening materials. International Journal of Plasticity, 8 583-602.
33. Wright, T. W. (1994). Toward a defect invariant basis for susceptibility to adiabatic shear bands. Mechanics of Materials, 17 215-222.
34. Wright, T. W. (2002). The Physics and Mathematics of Adiabatic Shear Bands. Cambridge: Cambridge University Press.
35. Wright, T. W. (2003). On the speed of an unconstrained shear band in a perfectly plastic material. International Journal of Solids and Structures, 40 871-879.
36. Wright, T. W., Batra, R. C. (1985). The initiation and growth of adiabatic shear bands. International Journal of Plasticity, 1 202-212.
37. Wright, T. W., Ockendon, H. (1996). A scaling law for the effect of inertia on the formation of adiabatic shear bands. International Journal of Plasticity, 12 927-934.
38. Xue, Q., Nesterenko, V. F., Meyers, M. A. (2001). Self-organization of shear bands in stainless steels: grain size effects. In K. P. Staudhammer, L. E. Murr, M. A. Meyers (Eds.), Fundamental Issues and Applications of Shock-Wave and High-Strain-Rate Phenomena, 549-559. Amsterdam: Elsever.
39. Zener, C., Hollomon, J. H. (1944). Effect of strain rate upon plastic flow of steel. Journal of Applied Physics, 15 22-32.