A new statistical local criterion for cleavage fracture in steel. Part I: Model presentation

Engineering Fracture Mechanics

Volumn 72, Issue 3, 2005, Pages 435-452

  Bordet, S R ^a   Karstensen, A D ^a   Knowles, D M ^b   Wiesner, Chistoph S ^a  

^a TWI LTD   (United Kingdom)

^b GNS SCIENCE   (New Zealand)

Author keywords

Beremin model; Cleavage fracture; Local approach; Local criterion; Structural steel

Indexed keywords

CRACK PROPAGATION; FRACTURE; MATHEMATICAL MODELS; NUCLEATION; PROBLEM SOLVING; STATISTICAL METHODS;

BEREMIN MODEL; CLEAVAGE FRACTURES; CRITICAL DYNAMIC CONNECTIVITY;

STEEL;

FRACTURE MECHANICS;

EID: 7444224703     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2004.02.009     Document Type: Article

References (45)

1. Ritchie R.O. Knott J.F. Rice J.R. On the relationship between critical tensile stress and fracture toughness in mild steel J. Mech. Phys. Solids 21 1973 395-410
2. McClintock F.A. On the plasticity of the growth of fatigue cracks Fracture of solids 1963 65-102 John Wiley New York
3. Beremin F.M. A local criterion for cleavage fracture of a nuclear pressure vessel steel Metall. Trans. A 14A 1983 2277-2287
4. Mudry F. A local approach to cleavage fracture Nucl. Engng. Des. 105 1987 65-76
5. Bernauer G. Brocks W. Schmitt W. Modifications of the Beremin model for cleavage fracture in the transition region of a ferritic steel Engng. Fract. Mech. 64 1999 305-325
6. Stöckl H. Boschen R. Schmitt W. Varfolomeyev I. Chen J.H. Quantification of the warm prestressing effect in a shape welded 10 MnMoNi 5-5 material Engng. Fract. Mech. 67 2 2000 119-137
7. Margolin B.Z. Gulenko A.G. Shvetsova V.A. Improved probabilistic model for fracture toughness prediction for nuclear pressure vessel steels Int. J. Pres. Ves. Pip. 75 12 1998 843-855
8. Kroon M. Faleskog J. A probabilistic model for cleavage fracture with a length scale - influence of material parameters and constraint Int. J. Fract. 118 2002 99-118
9. Orowan E. Fracture and strength of solids Rep. Prog. Phys. 12 1948 185
10. Knott J.F. Some effects of hydrostatic tension on the fracture behaviour of mild steel J. Iron Steel Inst. 104-111 1966
11. Griffiths J.R. Owen D.R.J. An elastic-plastic stress analysis for a notched bar in plane strain bending J. Mech. Phys. Solids 19 1971 419-431
12. Wiesner C.S. Goldthorpe M.R. The effect of temperature and specimen geometry on the parameters of the 'Local Approach' to cleavage fracture J. Phys. IV C6 1996 295-302
13. Bordet S.R. Karstensen A.D. Wiesner C.S. Knowles D.M. Effects of plastic strain on cleavage fracture predictions in steel. In: Ravi-Chandar K. et al. (Ed.). Advances in Fracture Research (Proceedings of ICF 10) 2001 Pergamon CD-ROM
14. Bordet S.R. Karstensen A.D. Wiesner C.S. Knowles D.M. The Local Approach in structural integrity assessments: Transforming its potential into an engineering tool. In: Flewitt P.E.J. et al. (Ed.). Engineering Structural Integrity Assessment: Needs and Provision (Proceedings of ESIA6) 2002 253 260 EMAS
15. Bordet SR. PhD thesis. University of Cambridge, 2002
16. McMahon C.J. Cohen M. Initiation of cleavage in polycrystalline iron Acta Metall. 13 1965 591-604
17. Kaechele L.E. Tetelman A.S. A statistical investigation of microcrack formation Acta Metall. 17 1969 463-475
18. Brindley B.J. The effect of dynamic strain-ageing on the ductile fracture process in mild steel Acta Metall. 18 1970 325-329
19. Lindley T.C. Oates G. Richards C.E. A critical appraisal of carbide cracking mechanisms in ferride/carbide aggregates Acta Metall. 18 1970 1127-1136
20. Gurland J. Observations on the fracture of cementite particles in a spheroidized 1.05% C steel deformed at room temperature Acta Metall. 20 1972 735-741
21. Minami F. Brückner-Foit A. Munz D. Trolldenier B. Estimation procedure for the Weibull parameters used in the local approach Int. J. Fract. 54 1992 197-210
22. Gao X. Ruggieri C. Dodds R.H. Jr. Calibration of Weibull stress parameters using fracture toughness data Int. J. Fract. 92 2 1998 175-200
23. Cohen A.C. Whitten B.J. Parameter estimation in reliability and life span models 1988 M Dekker New York
24. Brückner-Foit A, Munz D, Trolldenier B. Micromechanical implications of the weakest link model for the ductile-brittle transition region. In: Blauel JG, Schwalbe K-H, editors. Defect assessment in components - fundamentals and applications. ESIS/EGF9, 1991. p. 477-88
25. Kittl P. Dìaz G. Five deductions of Weibull distribution function in the probabilistic strength of materials Engng. Fract. Mech. 36 5 1990 749-762
26. Bréchet Y. Embury J.D. Tao S. Luo L. Damage initiation in metal matrix composites Acta Metall. Mater. 39 8 1991 1781-1786
27. Llorca J. Martín A. Ruiz J. Elices M. Particulate fracture during deformation of a spray formed metal-matrix composite Metall. Trans. A 24 7 1993 1575-1588
28. Mummery P.M. Derby B. Scruby C.B. Acoustic emission from particulate-reinforced metal-matrix composites Acta. Metall. Mater. 41 5 1993 1431-1445
29. Lewis C.A. Withers P.J. Weibull modeling of particle cracking in metal-matrix composites Acta. Metall. Mater. 43 10 1995 3685-3699
30. Wallin K. Saario T. Törrönen K. Fracture of brittle particles in a ductile matrix Int. J. Fract. 32 1987 201-209
31. Hahn G. The influence of microstructure on brittle fracture toughness Metall. Trans. A 15A 1984 947-959
32. Irwin G.R. Zhang X.J. Cleavage behavior in structural steels Int. J. Solids Struct. 32 17-18 1995 2447-2456
33. Franklin R.E. Observations on cleavage initiation sites in two ferritic steels. In: Firrao D. (Ed.). Fracture Behaviour and Design of Materials and Structures, vol. 1 (Proceedings of ECF 8) 1990 44-50 EMAS
34. Mandelbrot B.B. The fractal geometry of nature 1983 Freeman Oxford
35. Turcotte D.L. Fractals and chaos in geology and geophysics 1997 CUP Cambridge
36. Castillo E. Extremes in engineering applications. In: Galambos J. et al. (Ed.). Extreme value theory and applications vol. 1 1994 15-42 Kluwer Academics Publishers
37. Chen J.H. Wang G.Z. On scattering of measured values of fracture toughness parameters Int. J. Fract. 94 1 1998 33-49
38. Bakker A, Koers RWJ. Prediction of cleavage fracture events in the brittle-ductile transition region of a ferritic steel. In: Blauel JG, Schwalbe K-H, editors. Defect assessment in components - fundamentals and applications. ESIS/EGF9, 1991. p. 613-32
39. Ruggieri C. Dodds R.H. Jr. A transferability model for brittle fracture including constraint and ductile tearing effect: A probabilistic approach Int. J. Fract. 79 1996 309-340
40. Sih G.C. A special theory of crack propagation. In: Sih G.C. (Ed.). Mechanics of fracture vol. I 1973 XXI-XLV Noordhoff International Publishing Leyden
41. Turner C.E. An instability and energy rate model for cleavage fracture. In: Chan K.S. (Ed.). Cleavage Fracture (Proceedings of George R. Irwin Symposium) 1997 107-122 Minerals, Metals and Materials Society Warrendale, PA
42. Linaza M.A. Rodriguez-Ibabe J.M. Urcola J.J. Determination of the energetic parameters controlling cleavage fracture initiation in steels Fatigue Fract. Engng. Mater. Struct. 20 5 1997 619-632
43. Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth. Part I: Yield criteria and flow rules for porous ductile media J. Engng. Mater. Technol. 99 1977 2-15
44. Needleman A. Tveegard V. An analysis of ductile rupture modes at a crack-tip J. Mech. Phys. Solids 35 1987 151-183
45. Rousselier G. Ductile fracture models and their potential in local approach of fracture Nucl. Engng. Des. 105 1 1987 97-111