On criteria for dynamic adiabatic shear band propagation

Journal of the Mechanics and Physics of Solids

Volumn 55, Issue 7, 2007, Pages 1439-1461

  Medyanik, Sergey N ^a   Liu, Wing Kam ^a   Li, Shaofan ^b  

^a Northwestern University   (United States)

^b Berkeley   (United States)

Author keywords

Adiabatic shear band propagation; Dynamic recrystallization; Failure criterion; Meshless methods; Strain localization

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; HIGH TEMPERATURE EFFECTS; MATERIALS SCIENCE; RECRYSTALLIZATION (METALLURGY); SHEAR BANDS; STRAIN RATE;

MATERIAL PROPERTIES; SHEAR BAND PROPAGATION;

CRACK PROPAGATION;

EID: 34248231866     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2006.12.006     Document Type: Article

References (43)

1. Andrade U., Meyers M.A., Vecchio K.S., and Chokshi A.H. Dynamic recrystallization in high-strain, high-strain rate plastic deformation of copper. Acta Metall. Mater. 42 (1994) 3183-3195
2. Areias, P.M.A., Belytschko, T., 2006. Two-scale shear band evolution by local partition of unity. Int. J. Numer. Meth. Eng. 66, 878-910.
3. Bai Y.L., and Dodd B. Adiabatic Shear Localization (1992), Pergamon Press, Oxford
4. Batra R.C., and Kim C.H. Analysis of shear banding in twelve materials. Int. J. Plasticity 8 (1992) 425-452
5. Batra R.C., and Lear M.H. Simulation of brittle and ductile fracture in an impact loaded prenotched plate. Int. J. Fract. 126 2 (2004) 179
6. Belytschko T., Lu Y.Y., and Gu L. Element-free Galerkin methods. Int. J. Numer. Meth. Eng. 37 2 (1994) 229-256
7. Belytschko T., Liu W.K., and Moran B. Nonlinear Finite Elements for Continua and Structures (2000), Wiley, New York
8. Bonnet-Lebouvier A.-S., Molinari A., and Lipinski P. Analysis of the dynamic propagation of adiabatic shear bands. Int. J. Solids Struct. 39 16 (2002) 4249-4269
9. Cahn R.W., and Haasen P. Physical Metallurgy vol. 3 (1996), North-Holland, Amsterdam
10. Frost H.J., and Ashby M.F. Deformation-mechanism Maps: the Plasticity and Creep of Metals and Ceramics (1982), Pergamon Press, New York
11. Guduru P.R., Rosakis A.J., and Ravichandran G. Dynamic shear bands: an investigation using high speed optical and infrared diagnostics. Mech. Mater. 33 (2001) 371-402
12. Guduru P.R., Ravichandran G., and Rosakis A.J. Observations of transient high temperature vortical microstructures in solids during adiabatic shear banding. Phys. Rev. E 64 (2001) 036128-1-6
13. Hines J.A., and Vecchio K.S. Recrystallization kinetics within adiabatic shear bands. Acta Mater. 45 2 (1997) 635
14. Hines J.A., Vecchio K.S., and Ahzi S. Model for microstructure evolution in adiabatic shear bands. Metall. Mater. Trans. A 29A (1998) 191
15. Johnson G.R., and Cook W.H. Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures. Eng. Fract. Mech. 21 1 (1985) 31-48
16. Leroy Y.M., and Molinari A. Stability of steady states in shear zones. J. Mech. Phys. Solids 40 (1992) 181-212
17. Li S., and Liu W.K. Meshfree and particle methods and their applications. Appl. Mech. Rev. 55 (2002) 1-34
18. Li, S., Liu, W.K., 2004. Meshfree Particle Methods. Springer, Berlin, 502pp.
19. Li S., Hao W., and Liu W.K. Mesh-free simulations of shear banding in large deformation. Int. J. Solids Struct. 37 48-50 (2000) 7185-7206
20. Li S., Liu W.K., Qian D., Guduru P.R., and Rosakis A.J. Dynamic shear band propagation and micro-structure of adiabatic shear band. Comput. Methods Appl. Mech. Eng. 191 1-2 (2001) 73-92
21. Li S., Liu W.K., Rosakis A.J., Belytschko T., and Hao W. Mesh-free Galerkin simulations of dynamic shear band propagation and failure mode transition. Int. J. Solids Struct. 39 5 (2002) 1213-1240
22. Liu W.K., Jun S., Li S., Adee J., and Belytschko T. Reproducing kernel particle methods for structural dynamics. Int. J. Numer. Meth. Eng. 38 (1995) 1655-1679
23. Liu W.K., Jun S., and Zhang Y. Reproducing kernel particle methods. Int. J. Numer. Meth. Fluids 20 8-9 (1995) 1081-1106
24. Liu W.K., Li S., and Belytschko T. Moving least square reproducing kernel method part i: methodology and convergence. Comput. Methods Appl. Mech. Eng. 143 (1997) 422-433
25. Marchand A., and Duffy J. An experimental study of the formation process of adiabatic shear bands in a structural steel. J. Mech. Phys. Solids 36 3 (1988) 251-283
26. McQueen H.J., and Bergerson S. Dynamic recrystallization of copper during hot torsion. Met. Sci. J. 6 (1972) 25-29
27. Mescheryakov Yu.I., and Atroshenko S.A. Dynamic recrystallization in shear bands. In: Murr L.E., Staudhammer K.P., and Meyers M.A. (Eds). Metallurgical and Materials Application of Shock-Wave and High-Strain-Rate Phenomena (1995), Elsevier Science B.V., Amsterdam 443-450
28. Meyers M.A. Dynamic Behavior of Materials (1994), Wiley, New York
29. Meyers M.A., and Pak H.R. Observation of an adiabatic shear band in titanium by high voltage transmission electron microscopy. Acta Met. 34 (1986) 2493-2499
30. Meyers M.A., Nesterenko V.F., LaSalvia J.C., and Xue Q. Shear localization in dynamic deformation of materials: microstructural evolution and self-organization. Mat. Sci. Eng. A 17 (2001) 204-225
31. Molinari A., and Leroy Y.M. Structures in shear zones due to thermal effects. C.R. Acad. Sci. Paris, Ser. II 313 (1991) 7-13
32. Murr L.E., Trillo E.A., Pappu S., and Kennedy C. Adiabatic shear bands and examples of their role in severe plastic deformation. J. Mater. Sci. 37 (2002) 3337-3360
33. Nesterenko V.F., Meyers M.A., LaSalvia J.C., Bondar M.P., Chen Y.J., and Lukyanov Y.L. Investigation of high-strain, high-strain rate behavior of tantalum using the collapse of a thick-walled cylinder. Mat. Sci. Eng. A 229 (1997) 23-41
34. Park, H.S., 2001. Meshfree simulations of dynamic adiabatic shearbands. Master's Thesis.
35. Peirce D., Shih C.F., and Needleman A. A tangent modulus method for rate dependent solids. Comput. Struct. 18 5 (1984) 875-887
36. Schoenfeld S.E., and Wright T.W. A failure criterion based on material instability. Int. J. Solids Struct. 40 (2003) 3021-3037
37. Wright T.W. Approximate analysis for the formation of adiabatic shear bands. J. Mech. Phys. Solids 38 (1990) 515-530
38. Wright T.W. The Physics and Mathematics of Adiabatic Shear Bands (2002), Cambridge University Press, Cambridge
39. Xu Y.B., Zhong W.L., Chen Y.J., Shen L.T., Liu Q., Bai Y.L., and Meyers M.A. Shear localization and recrystallization in dynamic deformation of 8090 Al-Li alloy. Mat. Sci. Eng. A 299 (2001) 287-295
40. Zhang Z., and Clifton R.J. Shear band propagation from a crack tip. J. Mech. Phys. Solids 51 11-12 (2003) 1903-1922
41. Zhou M., Rosakis A.J., and Ravichandran G. Dynamically propagating shear bands in impact-loaded prenotched plates-1. Experimental investigations of temperature signatures and propagation speed. J. Mech. Phys. Solids 44 6 (1996) 981-1006
42. Zhou M., Ravichandran G., and Rosakis A.J. Dynamically propagating shear bands in impact-loaded prenotched plates-2. Numerical simulations. J. Mech. Phys. Solids 44 6 (1996) 1007-1032
43. Zhou M., Rosakis A.J., and Ravichandran G. On the growth of shear bands and failure-mode transition in prenotched plates: a comparison of singly and doubly notched specimens. Int. J. Plasticity 14 4-5 (1998) 435-451