Instability strain and shear band spacing in simple tensile/compressive deformations of thermoviscoplastic materials

International Journal of Impact Engineering

Volumn 34, Issue 3, 2007, Pages 448-463

  Batra, R C ^a   Wei, Z G ^a  

^a Virginia Polytechnic Institute and State University   (United States)

Author keywords

Instability criterion; Perturbation method; Scaling laws; Shear band spacing; Thermoviscoplasticity

Indexed keywords

COMPRESSIVE STRENGTH; PERTURBATION TECHNIQUES; SHEAR DEFORMATION; STRAIN; TENSILE TESTING; VISCOPLASTICITY;

AXIAL STRAIN RATES; INSTABILITY CRITERIONS; SCALING LAWS; SHEAR BAND SPACING;

PLASTIC PRODUCTS;

EID: 33751051349     PISSN: 0734743X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijimpeng.2005.11.004     Document Type: Article

References (31)

1. Considerè M. L'emploi du fer et Lacier Dans Les Constructions. Ann Des Ponts et Chausses 9 (1885) 574
2. Hart E.W. Theory of the tensile test. Acta Metall 15 (1967) 351-355
3. Jonas J.J., and Baudelet B. Effect of crack and cavity generation on tensile stability. Acta Metall 25 (1977) 43-50
4. Kocks U.F., Jonas J.J., and Mecking H. The development of strain-rate gradients. Acta Metall 27 (1979) 419-432
5. Ferron G. Influence of heat generation and conduction on plastic stability under uniaxial tension. Mater Sci Eng 49 (1981) 241-248
6. Fressengeas C., and Molinari A. Inertia and thermal effects on the localization of plastic flow. Acta Metall 33 (1985) 387-396
7. Shockey DA, Erlich DC. Metallurgical influences on shear band activity. In: Meyers MA, Murr LE, editors. Shock wave and high-strain-rate phenomena in materials. 1981. p. 249-61.
8. Shockey DA. Materials aspects of the adiabatic shear phenomenon. In: Murr LE, Staudhammer KP, Meyers MA, editors. Metallurgical application of shock-wave and high-strain-rate phenomena. 1986. p. 633-56.
9. Nesterenko V.F., Meyers M.A., and Wright T.W. Self-organization in the initiation of adiabatic shear bands. Acta Mater 46 (1995) 327-340
10. Xue Q., Meyers M.A., and Nesterenko V.F. Self-organization of shear bands in titanium and Ti-6Al-4V alloy. Acta Mater 50 (2002) 575-596
11. Grady D.E., and Kipp M.E. The growth of unstable thermoplastic shear with application to steady-wave shock compression in solids. J Mech Phys Solids 35 (1987) 95-118
12. Grady D.E. Properties of an adiabatic shear band process zone. J Mech Phys Solids 40 (1992) 1197-1215
13. Bai Y.L., Cheng C.M., and Ling Z. Localization and pattern of deformation in thermo-visco-plastic material. J Mech Behav Mater 4 (1992) 19-32
14. Bai Y.L. Thermo-plastic instability in simple shear. J Mech Phys Solids 30 (1982) 195-207
15. Wright T.W., and Ockendon H. A scaling law for the effect of inertia on the formation of adiabatic shear bands. Int J Plasticity 12 (1996) 927-934
16. Molinari A. Collective behavior and spacing of adiabatic shear bands. J Mech Phys Solids 45 (1997) 1551-1575
17. Batra R.C., and Chen L. Shear band spacing in gradient-dependent thermoviscoplastic materials. Comput Mech 23 (1999) 8-19
18. Batra R.C., and Chen L. Effect of viscoplastic relations on the instability strain, shear band initiation strain, the strain corresponding to the minimum shear band spacing, and the band width in a thermoviscoplastic material. Int J Plasticity 17 (2001) 1465-1489
19. Chen L., and Batra R.C. Microstructural effects on shear instability and shear band spacing. Theor Appl Fracture Mech 34 (2000) 155-166
20. Batra R.C., and Chen L. Instability analysis and shear band spacing in gradient-dependent thermoviscoplastic materials with finite speeds of thermal waves. Arch Mech 53 (2001) 167-192
21. Batra RC, Wei Z. Shear band spacing in thermoviscoplastic materials. Int J Impact Eng 2006;32:947-67.
22. Rice J.R., and Tracey D.M. On the ductile enlargement of voids in triaxial stress fields. J Mech Phys Solids 17 (1969) 210-217
23. Bai Y.L., Ke F.J., and Xia M.F. Formulation of statistical evolution of microcracks in solids. Acta Mech Sinica 7 (1991) 59-66
24. Bai Y.L., Bai J., Li H.L., Ke F.J., and Xia M.F. Damage evolution localization and failure of solids subjected to impact loading. Int J Impact Eng 24 (2000) 685-701
25. Wei Z.G., and Batra R.C. Dependence of instability strain upon damage in thermoviscoplastic materials. Arch Mech 54 (2002) 691-707
26. Batra R.C., and Lear M.H. Adiabatic shear banding in plane strain tensile deformations of 11 thermoviscoplastic materials with finite thermal wave speed. Int J Plasticity 21 (2005) 1521-1545
27. Batra R.C. The initiation and growth of, and the interaction among adiabatic shear bands in simple and dipolar materials. Int J Plasticity 3 (1987) 75-89
28. Batra R.C., and Kim C.H. The interaction among adiabatic shear bands in simple and dipolar materials. Int J Eng Sci 28 (1990) 927-942
29. Kwon Y.W., and Batra R.C. Effect of multiple initial imperfections on the initiation and growth of adiabatic shear bands in nonpolar and dipolar materials. Int J Eng Sci 26 (1988) 1177-1187
30. Batra R.C., and Liu D.-S. Adiabatic shear band development in dynamic plane strain compression of a viscoplastic material. Int J Plasticity 6 (1990) 231-246
31. Batra R.C., and Love B.M. Mesoscale analysis of shear bands in high strain rate deformations of tungsten/nickel-iron composites. J Therm Stresses 28 (2005) 747-782