Numerical simulations of dynamic plastic shear instability under conditions of plane strain

International Journal of Solids and Structures

Volumn 35, Issue 28-29, 1998, Pages 3755-3791

  Lee, Youngseog ^a   Prakash, Vikas ^a  

^a Case Western Reserve University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; COMPUTER SIMULATION; HEAT CONDUCTION; HEATING; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; SHEAR DEFORMATION; STABILITY; STRAIN HARDENING; STRAIN RATE; STRESSES;

IN PLANE SHEAR LOADING PULSE; PLASTIC DISSIPATION; THERMOMECHANICAL SIMULATION;

PLASTICS;

EID: 0032184464     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(97)00177-7     Document Type: Article

References (48)

1. Argon, A. S. (1973) Stability of plastic deformation. In The Homogeneity of Plastic Deformation, Chap. 7. ASM. Metals Park, OH.
2. Bai, Y. (1981) A criterion for thermo-plastic shear instability. In Shock Wave and High Strain Rate Phenomena in Metals, ed. M. A. Meyers and L. E. Murr, pp. 277-284. Plenum Press, New York, NY.
3. Bedford, A. J., Wingrove, A. L. and Thompson, K. R. L. (1974) Phenomenon of adiabatic shear deformation. J. Aust. Inst. Metals. 19, 61-73.
4. Belytschko, T., Chiapetta, R. L. and Bartel, H. D. (1976) Efficient large scale non-linear transient analysis by finite elements. International Journal of Numerical Methods in Engineering 10, 579-596.
5. Budiansky, B. (1969) Remarks on Theories of Solid and Structural Mechanics: Problems of Hydrodynamics and Continuum Mechanics, ed. M. A. Lavrent'ev et al., pp. 77-83. SIAM
6. Canova, G. R., Kocks, U. F. and Jonas, J. J. (1984) Theory of torsion texture development. Acta Metallica 54, 15-21.
7. Clifton, R. J. (1980) Adiabatic shear banding. In Material Response to Ultra-High Loading Rates, NMAB-356, Chap. 8. National Materials Advisory Board (NRC), Washington, DC.
8. Clifton, R. J. (1990) High strain rate behavior of metals. Applied Mechanics Review 43, S10-S22.
9. Clifton, R. J., Duffy, J., Hartley, K. A., Shawki, T. G. (1984) On critical conditions for shear band formation at high strain rates. Scripta Metallica 18, 443-448.
10. Culver, R. S. (1973) Thermal instability strain in dynamic plastic deformation. In Metallurgical Effects at High Strain Rates, ed. R. W. Rhode, B. M. Butcher, J. R. Holland and C. H. Karnes. TMS-AIME, pp. 519-528. Plenum Press, New York, NY.
11. Dafalias, Y. F. (1985) The plastic spin. Journal of Applied Mechanics 52, 865-871.
12. Duffy, J. and Chi, Y. C. (1992) On the measurement of local strain and temperature during the formation of adiabatic shear bands. Materials Science Engineering A157, 195-210.
13. Grady, D. E. (1992) Properties of an adiabatic shear-band process zone. Journal of the Mechanics and Physics of Solids 40, 1197-1215.
14. Grady, D. E. (1994) Dissipation in adiabatic shear bands. Mech. and Mater. 17, 289-293.
15. Hutchinson, J. W. (1984) Introduction of the viewpoint set on shear bands. Scripta Metallica 18, 421-422.
16. Kalthoff, J. K. and Winkler, S. (1987) Failure mode transition at high rates of shear loading. In International Conference on Impact Loading and Dynamic Behavior of Material, ed. C. Y. Chiem, H. D. Kunze and L. W. Meyer, 1, 185-195.
17. Krieg, R. D. and Key, S. W. (1973) Transient shell response by numerical time integration. International Journal of Numerical Methods in Engineering 7, 273-286.
18. Kuriyama, S. and Meyers, M. A. (1986) Numerical modeling of the propagation of an adiabatic shear band. Metall. Trans. 17A, 443-450.
19. Lee, E. H. (1969) Elastic-plastic deformation at finite strains. Journal of Applied Mechanics 36, 1-6.
20. Lee, Y. and Prakash, Y. (1995) Dynamic fracture toughness of AISI 4340 VAR steel under conditions of plane strain. Metall. and Mater. Trans. 26A, 2527-2343.
21. Marchand, A. and 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.
22. Mason, J. J., Rosakis, A. J. and Ravichandran, G. (1994) Full field measurements of the dynamic deformation field around a growing adiabatic shear band at the tip of dynamically loaded crack or notch. Journal of the Mechanics and Physics of Solids 42, 1679-1697.
23. Merzer, A. M. (1982) Modeling of adiabatic shear band development from small imperfections. Journal of the Mechanics and Physics of Solids 30, 323-338.
24. Meyers, M. A. (1994) Dynamic Behavior of Materials, John Wiley and Sons, New York, NY.
25. Moran, J. and Shih, C. H. (1987) General treatment of crack tip contour integrals. International Journal of Fracture 35, 295-310.
26. Nategaal, J. C., Parks, D. M. and Rice, J. R. (1974) On numerically accurate finite element solutions in the fully plastic range. Comp. Meth. Appl. Mech. Engng 4, 153-175.
27. Needleman, A. (1985) On finite element formulations for large elastic-plastic deformations. Composite Structures 20, 247-257.
28. Needleman, A. (1989) Dynamic shear band development in plane strain. Journal of Applied Mechanics 56, 1-9.
29. Nemat-Nasser, S. (1992) Phenomenological theories of elastoplasticity and strain localization at high strain rates. Applied Mechanics Review 45(2), S19-S45.
30. Olson, G. B., Mescall, J. F. and Azrin, M. (1981) Adiabatic deformation and strain localization. In Shock Wave and High Strain Rate Phenomena in Metals, ed. M. A. Meyers and L. E. Murr, pp. 221-247. Plenum Press, New York, NY.
31. Peirce, D., Shih, C. F. and Needleman, A. (1984) A tangent modulus method for rate dependent solids. Composite Structures 18, 875-887.
32. Povirk, G. L., Needleman, A. and Nutt, S. R. (1990) An analysis of residual stress formulation in whisker-reinforced Al-SiC composites. Mater. Sci. and Engng A125, 129-140.
33. Prakash, V. and Clifton, R. J. (1992) Experimental and analytical investigation of dynamic fracture under condition of plane strain. ASTM STP 1, ed. H. A. Ernst, A. Saxena and D. L. Dowell. pp. 412-444. ASTM, Philadelphia, PA.
34. Ravichandran, G. and Clifton, R. J. (1989) Dynamic fracture under plane wave loading. International Journal of Fracture 40, 157-201.
35. Ravi-Chandar, K. (1995) On the failure mode transition in polycarbonate under dynamic mixed-mode loading. International Journal of Solids and Structures 32, 925-937.
36. Recht, R. F. (1964) Catastrophic thermoplastic shear. Journal of Applied Mechanics 31, 189-196.
37. Rogers, H. C. (1979) Adiabatic plastic deformation. Ann. Rev. Mater. Sci. 9, 283-311.
38. Rogers, H. C. (1983) Adiabatic shearing - general nature and material aspects. In Material Behavior Under High Stress and Ultra-high Loading Rates, ed. J. Mescall and V. Weiss, pp. 101-112. Plenum Press, New York, NY.
39. Seimiatin, S. L., Staker, M. R. and Jonas, J. J. (1984) Plastic instability and flow localization in shear at high rates of deformation. Acta Metallica 32, 1347-1354.
40. Taylor, G. I. and Quinney, H. (1934) The latent energy remaining in a metal after cold working. Proceedings of the Royal Society of London A143, 307-326.
41. Timothy, S. P. (1987) The structure of adiabatic shear bands in metals: a critical review. Acta Metallica 35, 301-306.
42. Tvergaard, V. (1981) Influence of voids on shear band instabilities under plane strain conditions. International Journal of Fracture 17, 389-407.
43. Tvergaard, V., Needleman, A. and Lo, K. K. (1981) Flow localization in the plane strain tensile test. Journal of the Mechanics and Physics of Solids 29, 115-142.
44. Wright, T. W. and Walter, J. W. (1987) On stress collapse in an adiabatic shear band. Journal of the Mechanics and Physics of Solids 35, 701-720.
45. Wright, T. W. and Walter, J. W. (1996) The asymptotic structure of an adiabatic shear band in anti-plane motion. Journal of the Mechanics and Physics of Solids 44, 77-97.
46. Zhou, M., Ravichandran, G. and Rosakis, A. J. (1996a) Dynamicaly propagating shear bands in impact-loaded pre-notched plates, I - experimental investigation of temperature signatures and propagation speed. Journal of the Mechanics and Physics of Solids 44, 981-1006.
47. Zhou, M., Ravichandran, G. and Rosakis, A. J. (1996b) Dynamically propagating shear bands in impact-loaded pre-notched plates. II - numerical simulation. Journal of the Mechanics and Physics of Solids 44, 1007-1032.
48. Zurek, A. K. (1994) The study of adiabatic shear band instability in a pearlitic 4340 steel using a dynamic punch test. Metall. and Mater. Trans. 25A, 2483-2489.