Asymptotic structure of a shear band in mode-II deformations

International Journal of Engineering Science

Volumn 37, Issue 7, 1999, Pages 895-919

  Chen, L ^a   Batra, R C ^a  

^a State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; HEAT LOSSES; THERMAL EFFECTS; THERMODYNAMIC STABILITY;

ASYMPTOTIC STRUCTURE; SHEAR BANDS;

SHEAR DEFORMATION;

EID: 0033121608     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7225(98)00102-5     Document Type: Article

References (33)

1. Tresca H. On further application of the flow of solids. Proc. Inst. Mech. Engr. 30:1878;301-345.
2. Massey H.F. The flow of metal during forging. Proc. Manchester Assoc. Engrs. 1921;21-26.
3. Zener C., Hollomon J.H. Effect of strain rate on plastic flow of steel. J. Appl. Phys. 14:1944;22-32.
4. Marchand A., Duffy J. An experimental study of the formation process of adiabatic shear bands in a structural steel. 36:1988;J. Mech. Phys. Solids, 251-283.
5. Batra R.C., Kim C.H. Analysis of shear bands in twelve materials. Int. J. Plasticity. 8:1992;75-89.
6. Deltort B. Experimental and numerical aspects of adiabatic shear in a 4340 steel. J. Physique, Colloque C8. 4:1994;447-452.
7. Bai Y., Dodd B. Adiabatic shear localization Occurrence, Theories and Applications. 1992;Pergamon Press.
8. Tomita Y. Simulations of plastic instabilities in solid mechanics. Appl. Mechs. Reviews. 47:1994;171-205.
9. Zbib H.M., Shawki T., Batra R.C. Material instabilities. Special Issue of Applied Mechanics Reviews. 45:1992;3.
10. Armstrong R., Batra R.C., Meyers M.A., Wright T.W. Special issue on shear instabilities and viscoplasticity theories. Mech. Mater. 17:1994;485-498.
11. Perzyna P. Localization and fracture phenomenon in inelastic solids. 1998;Springer, Berlin.
12. Batra R.C., Rattazzi D. Adiabatic shear banding in a thick-walled steel tube. Comp. Mechs. 20:1997;423-438.
13. Kalthoff J.F. Transition in the failure behavior of dynamically shear loaded cracks. Appl. Mech. Rev. 43:1990;S247.
14. Mason J.J., Rosakis A.J., Ravichandran G. Full field measurements of the dynamic deformation field around a growing adiabatic shear band at the tip of a dynamically loaded crack or notch. J. Mech. Phys. Solids. 42:1994;1679.
15. Zhou M., Rosakis A.J., Ravichandran G. Dynamically propagating shear bands in impact-loaded prenotched plates - I. Experimental investigations of temperature signatures and propagation speed. J. Mech. Phys. Solids. 44:1996;981.
16. Needleman A., Tvergaard V. Analysis of brittle-ductile transition under dynamic shear loading. Int. J. Solids Structures. 44:1995;2571-2590.
17. Zhou M., Ravichandran G., Rosakis A.J. Dynamically propagating shear bands in impact-loaded prenotched plates - II. Numerical simulations. J. Mech. Phys. Solids. 44:1996;1007.
18. Batra R.C., Nechitailo N.V. Analysis of failure modes in impulsively loaded prenotched steel plates. Int. J. Plasticity. 13:1997;291.
19. Wright T.W., Walter J.W. The asymptotic structure of an adiabatic shear band in antiplane motion. J. Mech. Phys. Solids. 44:(1):1996;77-97.
20. Batra R.C. Steady state penetration of thermoviscoplastic targets. Comp. Mech. 3:1988;1-12.
21. Litonski J. Plastic flow of a tube under adiabatic torsion. Bull. Acad. Polonaise Sci. 25:1977;7-17.
22. Batra R.C., Lin Pei-Rong. Steady state axisymmetric deformations of a thermoviscoplastic rod striking a rigid cavity. Int. J. Impact Engng. 8:1989;99-113.
23. Batra R.C., Gobinath T. Steady state axisymmetric deformations of a thermoviscoplastic rod striking a thick thermoviscoplastic target. Int. J. Impact Engng. 11:1991;1-31.
24. Batra R.C., Liu De-Shin. Adiabatic shear banding in plane strain problems. J. Appl. Mechs. 56:1989;527-534.
25. Wright T.W., Batra R.C. The initiation and growth of adiabatic shear bands. Int. J. Plasticity. 1:1985;205-212.
26. Chen L., Batra R.C. Shear instability direction at a crack tip in a thermoviscoplastic body. Theoretical & Appl. Fract. Mechs. 29:1998;33-40.
27. Olmstead W.E., Nemat-Nasser S., Ni L. Shear band as surfaces of discontinuity. J. Mech. Phys. Solids. 42:1994;697-709.
28. Glimm J.G., Plohr B.J., Sharp D.H. A conservative formulation for large deformation plasticity. Appl. Mech. Rev. 46:1993;519-526.
29. Müller I. Thermodynamics. 1985;Pittman, Boston.
30. Müller I. Thermodynamics of irreversible processes, Lecture Notes. 1971;Johns Hopkins Univ, Baltimore.
31. Batra R.C., Zhang X. On the propagation of a shear band in a steel tube. J. Engng Mater. Technol. 116:1994;155-161.
32. Wright T.W., Ockendon H. A model for fully formed shear bands. J. Mech. Phys. Solids. 40:1992;1217-1226.
33. Grady D.E. Properties of an adiabatic shear-band process zone. J. Mech. Phys. Solids. 40:1992;1197-1215.