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Two-parameter fracture criterion (K ρ,c -T ef,c) based on notch fracture mechanics

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Abstract

A two-parameter fracture criterion has been proposed to predict fracture conditions of notched components. This criterion includes the critical notch stress intensity factor K ρ,c, which represents fracture toughness of a material with a notch of radius ρ, and the effective T-stress. The effective T-stress T ef has been estimated as the average value of the T-stress distribution in the region ahead of the notch tip at the effective distance X ef . These parameters were derived from the volumetric method of notch fracture mechanics. The results of numerical T ef,c-stress estimation are compared to the T ef,c-stress results obtained from experimental analysis. The material failure curve or master curve K ρ,cf(T ef,c) has been established as a result of the notched specimen tests. A large T ef,c range was covered from −0.80 σ Y to +0.19 σ Y using SENT, CT, RT (roman tile) and DCB specimens. It was shown that the notch fracture toughness is a linear decreasing function of the T ef,c-stress. The use of the material failure curve to predict fracture conditions was demonstrated on gas pipes with the surface notch.

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References

  • Akourri O, Elayachi I, Pluvinage G (2007) Stress triaxiality as fracture toughness transferability parameter for notched specimens international review of mechanical engineering (I.RE.M.E.), vol 1. N°6 Nov

  • Ayatolahi MR, Pavier MJ, Smith DJ (2002) Mode I cracks subjected to large T stress. Int J Fract 117: 159–174

    Article  Google Scholar 

  • Chao YJ, Lam PS, Zhang L (1998) Effect of constraint on fracture controlled by stress or strain. Theoritical Appl Fract Mech 30: 75–86

    Article  CAS  Google Scholar 

  • Chao YJ, Liu S, Broviak BJ (2001) Brittle fracture: variation of fracture toughness with constraint and crack curving under mode I conditions?. Exp Mech 41(3): 232–241

    Article  CAS  Google Scholar 

  • Chlup Z, Dlouhy Y (2002) Micromechnaical aspects of constraint effect at brittle fracture initiation transferability of fracture mechanical characteristic. Nato Sci Ser 78

  • Christopher T, Sankaranarayanasamy K, Nageswara Rao B (2005) Correlating cryogenic fracture strength using a modified two-parameter method. Engng Fract Mech 72: 475–490

    Article  Google Scholar 

  • Dally JW, Sanford RJ (1987) Strain gage methods for measuring the opening mode stress intensity factor K I . Exp Mech 49: 381–388

    Article  Google Scholar 

  • Eisele U, Roos E (1990) Evaluation of different fracture-mechanical J-integral initiation values with regard to their usability in the safety assessment of components. Nucl Eng Des 130: 237–247

    Article  Google Scholar 

  • Hancock JW, Reuter WG, Parks DM (1993) Constraint and toughnes parametrized by T. In: Hackett EM, Schwalbr KH, Dodds RH (eds) Constraint effect in fracture, ASTM STP 1171. American Society for Testing and Materials, Philadelphia, pp 21–40

    Chapter  Google Scholar 

  • Joyce JA, Hackett EM, Roe C (1992) Comparison of JIC and J-R curves for short cracks and tensilely loaded specimen geometries of high strength structural steel NUREG CR-5879. US Nucl Regul Comission

  • Kabiri MR (2003) Fissuration des aciers à haute température, effet de la géométrie sur la transférabilité des lois de propagation, Thèse Ecole des Mines de Paris

  • Larsson SG, Carlsson AJ (1973) Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials. J Mech Phys Solids 21: 263–278

    Article  Google Scholar 

  • Liu S, Chao YJ (2003) Variation of fracture toughness with constraint. Int J Fract 124: 113–117

    Article  Google Scholar 

  • Maleski MJ, Kirigulige MS, Tippur HV (2004) A method for measuring Mode I crack tip constraint under dynamic and static loading conditions. Soc Exp Mech, 44, N°5, Oct

  • Pluvinage G (2003) Fracture and Fatigue emanating from stress concentrators. Kluwer Publisher, Dordrecht

    Google Scholar 

  • Rice JR (1974) Limitations to the-scale yielding approximation for crack-tip plasticity. J Mech Solids 22: 17–26

    Article  Google Scholar 

  • Ruggieri C, Gao X, Dodds RH (2000) Transferability of elastic-plastic fracture toughness using the Weibull stress approach :significance of parameter calibration. Engng Fract Mech 67: 101–117

    Article  Google Scholar 

  • Sumpter JDS (1993) An experimental investigation of the T stresses approach. In: EM Hackett, K-H Schwalbe and RH Dodds (ed) Constraint effects fracture, ASTM STP 1171. American Society for Testing and Materials, Philadelphia, pp 492–502

  • Wang X (2003) Elastic stress solutions forsemi-elliptical surface cracks in infinitethickness plates. Engng Fract Mech 70: 731–756

    Article  Google Scholar 

  • Williams ML (1957) On the stress distribution at the base of stationary crack. ASME J Appl Mech 24: 109–114

    Google Scholar 

  • Wu S, Mai YW, Cotterell B (1995) Prediction of iniotitionof ductile fracture. J Mech Phy Solids 43: 793–810

    Article  CAS  Google Scholar 

  • Yang B, Ravi-Chandar K (1999) Evaluation of T stress by stress difference method. Engng Fract Mech 64: 589–605

    Article  Google Scholar 

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Correspondence to M. Hadj Meliani.

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Meliani, M.H., Matvienko, Y.G. & Pluvinage, G. Two-parameter fracture criterion (K ρ,c -T ef,c) based on notch fracture mechanics. Int J Fract 167, 173–182 (2011). https://doi.org/10.1007/s10704-010-9542-1

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  • DOI: https://doi.org/10.1007/s10704-010-9542-1

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