Modifications of the Beremin model for cleavage fracture in the transition region of a ferritic steel

Engineering Fracture Mechanics

Volumn 64, Issue 3, 1999, Pages 305-325

  Bernauer, G ^a   Brocks, W ^a   Schmitt, W ^b  

^a INSTITUTE OF MATERIALS RESEARCH   (Germany)

^b FRAUNHOFER INSTITUTE FOR MECHANICS OF MATERIALS IWM   (Germany)

Author keywords

Ferritic steel; Gurson Tvergaard Needleman model; Local approach; Transition region; Void modified Beremin model

Indexed keywords

EID: 0000560135     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0013-7944(99)00076-4     Document Type: Article

References (33)

1. 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. Mat. and Techn. 99:1977;2-15.
2. Needleman A., Tvergaard V. An analysis of ductile rupture modes at a crack tip. J. Mech. and Phys. of Solids. 35:1987;151-183.
3. Beremin F.M. A local criterion for cleavage fracture of a nuclear pressure vessel steel. Metallurgical Transactions A. 14A:1983;2277-2287.
4. Chaouadi R., De Meester P., van Walle E., Fabry A., Van de Velde J. Statistical aspects of micromechanically-based damage models of ductile and cleavage fracture processes. Bakker A. 7th Int. Conf. on Mechanical Behaviour of Materials - Book of Abstracts. 1995;Delft University Press, Delft.
5. Wiesner C.S., Goldthorpe M.R. The effect of temperature and specimen geometry on the parameters of the 'local approach' to cleavage fracture. Euromech-Mecamat '96, Fontainebleau, France :1996.
6. Chu C.C., Needleman A. Void nucleation effects in biaxially stretched sheets. J. Engng. Mat. and Techn. 102:1980;249-256.
7. ADINA theory and modelling guide, Report ARD 92-8. ADINA R&D, Inc., Watertown, 1982.
8. Sun D.-Z., Siegele D., Voß B., Schmitt W. Application of local damage models to the numerical analysis of ductile rupture. Fatigue Fract. Engng. Mat. Struct. 12:1989;201-212.
9. Needleman A., Tvergaard V. An analysis of ductile rupture in notched bars. J. Mech. and Phys. of Solids. 35:1984;461-490.
10. Hönig A. Numerische Simulation von dynamisch belasteten Proben unter Berücksichtigung mikromechanischer Materialmodelle. Ph.D. thesis, University of Freiburg, Germany, 1994. Also: IWM report W 5/94, Freiburg, 1994.
11. Hönig A. Numerische Simulation von dynamisch belasteten Proben unter Berücksichtigung mikromechanischer Materialmodelle. Ph.D. thesis, University of Freiburg, Germany, 1994. Also: IWM report W 5/94, Freiburg, 1994.
12. Brocks W., Klingbeil D., Künecke D., Sun D.-Z. Application of the Gurson model to ductile tearing resistance. Kirk M., Bakker A. Constraint effects in fracture: theory and applications. ASTM STP 1244. vol. 2:1995;232-252 American Society for Testing and Materials, Philadelphia.
13. Sun D.-Z., Hönig A., Böhme W., Schmitt W. Application of micromechanical models to the analysis of ductile fracture under dynamic loading. Erdogan F. Fracture Mechanics: 25th Symposium. ASTM STP 1220. 1995;343-357 American Society of Testing and Materials, Philadelphia.
14. Zhang ZL, Hauge M. On the Gurson micro-mechanical parameters. In: Panontin TL, Sheppard SD, editor. Fatigue and Fracture Mechanics, vol. 29, American Society of Testing and Materials, Philadelphia, ASTM STP 1321, 1998, in press.
15. Koplik J., Needleman A. Void growth and coalescence in porous plastic solids. Int. J. Solids and Struct. 24:1988;835-853.
16. Pan J., Saje M., Neddleman A. Localisation of deformation in rate sensitive porous plastic solids. Int. J. Fract. 21:1983;261-278.
17. Needleman A., Tvergaard V. An analysis of dynamic ductile crack growth in a double edge cracked specimen. Int. J. Fract. 49:1991;41-67.
18. Mudry F. A local approach to cleavage fracture. Nuclear Engng. and Design. 105:1987;65-76.
19. 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.
20. Khalili A., Kromp K. Statistical properties of Weibull estimators. J. Mat. Sci. 26:1991;6741-6752.
21. ESIS P 6 98, Procedure to measure and calculate material parameters for the local approach to fracture using notched tensile specimens. Schwalbe K-H, editor. GKSS Research Centre, Geesthacht, Germany, 1998.
22. Bridgman P.W. Studies in large plastic flow and fracture. 1952;McGraw-Hill, New York.
23. DiFant M., Carius H., Carollo G., Cleizergues O., LeCoq V., Mudry F. Local Approach to brittle fracture: discussion of the effect of temperature and strain on the critical cleavage stress. Micromechanics of Fracture and their Structural Significance, Conf. papers of The Institute of Materials Second Griffith Conf :1995;Sheffield, UK.
24. Rossoll A. Fracture toughness determination of a low alloy steel by instrumented Charpy impact tests. Ph.D. thesis, Ecole Centrale des Arts et Manufactures, Chatenay-Malabry, France, 1998.
25. Rosenfield A.R., Shetty D.K., Skidmore A.J. Fractographic observations of cleavage initiation in the ductile-brittle transition region of a reactor-pressure-vessel steel. Metallurgical Transactions A. 14A:1983;1934-1937.
26. Bernauer G., Einsatz mikromechanischer Schädigungsmodelle im spröd-duktilen übergangsbereich. Ph.D. thesis, University of Karlsruhe, Germany, 1997. Also: IWM Report W 5/97, Freiburg, Germany, 1997.
27. Bernauer G., Einsatz mikromechanischer Schädigungsmodelle im spröd-duktilen übergangsbereich. Ph.D. thesis, University of Karlsruhe, Germany, 1997. Also: IWM Report W 5/97, Freiburg, Germany, 1997.
28. Lin T., Evans A.G., Ritchie R.O. Stochastic modeling of the independent roles of particle size and grain size in transgranular cleavage fracture. Metallurgical Transactions A. 18A:1987;641-651.
29. f . Acta Metall. Mater. 38:(12):1990;2527-2535.
30. Koers R.W.J., Krom A.H.M., Bakker A. Prediction of cleavage fracture in the brittle to ductile transition region of a ferritic steel. Kirk M., Bakker A. Constraint Effects in Fracture: Theory and Applications. ASTM STP 1244. vol. 2:1995;191-208 American Society of Testing and Materials, Philadelphia.
31. Xia L., Shih C.F. Ductile crack growth - III. Transition to cleavage fracture incorporating statistics. J. Mech. and Phys. of Solids. 44:(4):1996;603-639.
32. 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, editor. Defect Assessment in Components - Fundamentals and Applications, ESIS/EGF9. 1991, pp. 477-488.
33. ASME Boiler and Pressure Vessel Code A-4000, An American National Standard, ASME XI - 1, Appendix A. American Society of Mechanical Engineers, New York, 1992.