Abstract
Two-dimensional discrete dislocation simulations of the crack-tip plasticity of a macrocrack-micro-crack system representing the fracture behavior in ferritic steels are presented. The crack-tip plastic zones are represented as arrays of discrete dislocations emitted from crack-tip sources and equilibrated against the friction stress. The dislocation arrays modify the elastic field of the crack; the resulting field describes the elastoplastic crack field. The simulated crack system involves a microcrack in the plastic zone of the macrocrack (elastoplastic stress field). The effects of the crack-tip blunting of the macrocrack are included in the simulations; as dislocations are emitted, the microcrack is kept at a constant distance from the blunted tip of the macrocrack. The brittle-ductile transition (BDT) curve is obtained by simulating the fracture toughness at various temperatures. A consideration of the effects of blunting is found to be critical in predicting the sharp upturn of the BDT curve. The obtained results are compared with existing experimental data and are found to be in reasonable agreement.
Similar content being viewed by others
References
E. Orowan: Trans. Inst. Eng. Shipbuilders Scotland, 1945, vol. 89, p. 165.
C.J. McMahon, Jr. and M. Cohen: Acta Metall., 1965, vol. 13, p. 591.
D.A. Curry and J.F. Knott: Met. Sci., 1979, vol. 13, p. 341.
P. Bowen and J.F. Knott: Metall. Trans. A, 1986, vol. 17A, p. 231.
M.K. Veistinen and V.K. Lindroos: Scripta Metall., 1984, vol. 18, p. 185.
P. Bowen, S.G. Druce, and J.F. Knott: Acta Metall., 1986, vol. 34, p. 1121.
P. Bowen, S.G. Druce, and J.F. Knott: Acta Metall., 1987, vol. 35, p. 1735.
S.R. Ortner and C.A. Hippsley: Mater. Sci. Technol., 1996, vol. 12, p. 1035.
R.O. Ritchie, J.F. Knott, and J.R. Rice: J. Mech. Phys. Solids, 1973, vol. 21, p. 395.
F.M. Beremin: Metall. Trans. A, 1983, vol. 14A, p. 2277.
K. Wallin, T. Saario, and K. Törrönen: Met. Sci., 1984, vol. 18, p. 13.
D.E. McCabe, J.G. Merkle, and K. Wallin: in Fatigue and Fracture Mechanics: 30th Volume, ASTM STP 1360, P.C. Paris and K.L. Jerina, eds., ASTM, West Conshohocken, PA, 2000, p. 21.
G.R. Odette and M.Y. He: J. Nucl. Mater., 2000, vols. 283–287, p. 120.
ASTM Standard Test Method E 1921-02, Annual Book of ASTM Standards, ASTM, West Conshohocken, PA, 2002, vol. 03.01.
M.E. Natishan and M.T. Kirk: in Fatigue and Fracture Mechanics: 30th Volume, ASTM STP 1360, P.C. Paris and K.L. Jerina, eds., ASTM, West Conshohocken, PA, 2000, p. 51.
P.B. Hirsch, S.G. Roberts, and J. Samuels: Proc. R. Soc. London A, 1989, vol. 421, p. 25.
P.B. Hirsch and S.G. Roberts: Phil. Mag. A, 1991, vol. 64, p. 55.
P.B. Hirsch and S.G. Roberts: Phil. Trans. R. Soc. London A, 1997, vol. 355, p. 1991.
S.G. Roberts, S.J. Noronha, A.J. Wilkinson, and P.B. Hirsch: Acta Mater., 2002, vol. 50, p. 1229.
S. Wang and S. Lee: Mater. Sci. Eng., 1990, vol. A130, p. 1.
T-Y. Zhang and J.C.M. Li: Acta Metall. Mater., 1991, vol. 39, p. 2739.
H. Saka, K. Nada, and T. Imura: Crystal Lattice Defects, 1973, vol. 4, p. 45.
V. Lakshmanan and J.C.M. Li: Mater. Sci. Eng., 1988, vol. A104, p. 95.
M. Creager and P.C. Paris: Int. J. Fract. Mech., 1967, vol. 3, p. 247.
S.J. Noronha and N.M. Ghoniem: unpublished research.
M.X. Shi, Y. Huang, and H. Gao: Int. J. Plasticity, 2004, vol. 20, p. 1739.
Author information
Authors and Affiliations
Additional information
This article is based on a presentation made in the symposium “Computational Aspects of Mechanical Properties of Materials,” which occurred at the 2005 TMS Annual Meeting, February 13–17, 2005, in San Francisco, CA, under the auspices of the MPMD-Computational Materials Science & Engineering (Jt. ASM-MSCTS) Committee.
Rights and permissions
About this article
Cite this article
Noronha, S.J., Ghoniem, N.M. Dislocation simulation of brittle-ductile transition in ferritic steels. Metall Mater Trans A 37, 539–544 (2006). https://doi.org/10.1007/s11661-006-0025-y
Issue Date:
DOI: https://doi.org/10.1007/s11661-006-0025-y