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Short fatigue crack growth behavior under mixed-mode loading

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Abstract

Mixed-mode loading represents the true loading condition in many practical situations. In addition, most of the fatigue life of many components is often spent in the short crack growth stage. The study of short crack growth behavior under mixed-mode loading has, therefore, much practical significance. This work investigated short crack growth behavior under mixed-mode loading using a common medium carbon steel. The effects of load mixity, crack closure, and load ratio on short crack growth behavior were evaluated by conducting experiments using four-point bending specimens with several initial K II /K I mixed-mode ratios and two load ratios. Cracks were observed to grow along the paths with very small K II /K I ratios (i.e. mode I). The maximum tangential stress criterion was used to predict the crack growth paths and the predictions were found to be close to the experimental observations. Several parameters including equivalent stress intensity factor range and effective stress intensity factor range were used to correlate short crack growth rates under mixed-mode loading. Threshold values for short cracks were found to be lower than those for long cracks for all the mixed-mode loading conditions. Crack closure was observed for the entire crack length regime with all load mixity conditions at R ≈ 0.05 and for short crack regime under high load mixity condition at R = 0.5. Several models were used to describe mean stress effects and to correlate crack growth rate data.

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References

  • ASTM Standard E647-00 (2003) Standard test method for measurement of Fatigue Crack growth rates. Annual book of ASTM standards, Vol. 03.01, American Society for Testing and Materials, Philadelphia, PA, pp 615–657

  • Baloch RA, Brown MW (1991) The effect of Pre-cracking history on branch crack threshold under mixed mode I/II loading. In: Kussmaul K, McDiarmid D, Socie DF (eds) Fatigue under biaxial and multiaxial loading ESIS10. Mechanical Engineering Publications, London, pp 179–197

    Google Scholar 

  • Campbell JP, Ritchie RO (2000a) Mixed-mode, high-cycle fatigue-crack growth thresholds in Ti–6Al–4V: I. A comparison of large- and short-crack behavior. Eng Fract Mech 67: 209–227

    Article  Google Scholar 

  • Campbell JP, Ritchie RO (2000b) Mixed-mode, high-cycle fatigue-crack growth thresholds in Ti–6Al–4V: II. Quantification of crack-tip shielding. Eng Fract Mech 67: 229–249

    Article  Google Scholar 

  • Christman T, Suresh S (1986) Crack initiation under far-field cyclic compression and the study of short Fatigue Cracks. Eng Fract Mech 23: 953–964

    Article  Google Scholar 

  • Cotterell B (1965) On brittle fracture paths. Int J Fract Mech 1: 96–103

    CAS  Google Scholar 

  • Craig D, Kujawski D, Ellyin F (1995) An experimental technique to study the behavior of small corner cracks. Int J Fatigue 17: 253–259

    Article  CAS  ADS  Google Scholar 

  • Erdogan F, Sih GC (1963) On the crack extension in plates under plane loading and transverse shear, Transactions of ASME. J Basic Eng 85D: 519–527

    Google Scholar 

  • Fatemi A, Socie DF (1988) A critical plane approach to multiaxial fatigue damage including Out-of-Phase Loading. Fatigue Fract Eng Mater Struct 11: 149–165

    Article  Google Scholar 

  • Forman RG, Kearney VE, Engle RM (1967) Numerical analysis of crack propagation in cyclic-loaded structures. Trans ASME, J Basic Eng 89(3): 459

    Google Scholar 

  • FRANC2D Version 2.7 (1995) Tutorial and user’s guide

  • Gao H, Brown MW, Miller KJ (1982) Mixed-mode fatigue thresholds. Fatigue Fract Eng Mater Struct 5(1): 1–17

    Article  Google Scholar 

  • He MY, Hutchinson JW (2000) Asymmetric four-point crack specimen, transactions of ASME. J Appl Mech 67: 207–209

    Article  MATH  Google Scholar 

  • Hoshide T, Socie DF (1987) Mechanics of mixed mode small crack growth. Eng Fract Mech 26: 841–850

    Article  Google Scholar 

  • Kim JK, Kim CS (2002) Fatigue crack growth behavior of rail steel under mode I and mixed mode loadings. Mater Sci Eng-A 338: 191–201

    Article  Google Scholar 

  • Klesnil M, Lucas P (1972) Effect of stress asymmetry on fatigue crack growth. Mate Sci Eng 9: 231–239

    Article  Google Scholar 

  • Nalla PK, Campbell JP, Ritchie RO (2002) Mixed-mode, high-cycle fatigue-crack growth thresholds in Ti-6Al-4V: role of small cracks. Int J Fatigue 24: 1047–1062

    Article  CAS  Google Scholar 

  • Otsuka A, Mori K, Ohshima T, Tsuyama S (1980a) Mode II fatigue crack propagation in aluminum alloys and mild steel. In: Francois D (ed) Proceedings of the 5th international conference on fracture, vol 4. Cannes, France, pp 1851–1858

  • Otsuka A, Mori K, Ohshima T, Tsuyama S (1980b) Fatigue crack growth of steel and aluminum alloy specimens under mode II loading. J Soc Mater Sci Jpn 29: 1042–1048

    CAS  Google Scholar 

  • Park J, Nelson D, Rostami A (2001) Small crack growth in combined bending-torsion fatigue of A533B steel. Fatigue Fract Eng Mater Struct 24: 179–191

    Article  CAS  Google Scholar 

  • Qian J, Fatemi A (1996) Mixed mode fatigue crack growth: a literature survey. Eng Fract Mech 55: 969–990

    Article  Google Scholar 

  • Qian J, Fatemi A (1999a) Fatigue cracking behavior of 1045 HR steel subjected to mixed-mode I and II loading, part II: crack growth behavior and predictions. In: Cordes T, Lease K (eds) Multiaxial fatigue of an induction hardened shaft, SAE AE-28, Chapter 15. pp 165–174

  • Qian J, Fatemi A (1999b) Effect of friction and threshold stress intensity factor on mixed-mode I and II fatigue crack growth behavior. In: Fatigue’ 99, proceedings of the seventh international fatigue congress, vol II. Beijing, P.R. China, pp 893–898

  • Reddy SC, Fatemi A (1992) Small crack growth in multiaxial fatigue. In: Mitchell MR, Landgraf RW (eds) Advances in fatigue lifetime predictive techniques, ASTM STP 1122. American Society of Testing and Material, Philadelphia, pp 276–298

  • Sih GC (1974) Strain-energy-density factor applied to mixed mode crack problems. Int J Fract 10: 305–321

    Article  Google Scholar 

  • Socie DF, Hua CT, Worthem DW (1987) Mixed mode small crack growth. Fatigue Fract Eng Mater Struct 10: 1–16

    Article  Google Scholar 

  • Socie DF, Marquis GB (2000) Multiaxial fatigue. Society of Automotive Engineers Inc, Warrendale, PA

    Google Scholar 

  • Tanaka K (1974) Fatigue crack propagation from a crack inclined to the cyclic tensile axis. Eng Fract Mech 6: 493–507

    Article  CAS  Google Scholar 

  • Tong J, Yates JR, Brown MW (1994a) The influence of precracking techniques on fatigue crack growth thresholds under mixed mode I and II loading conditions. Fatigue Fract Eng Mater Struct 17(11): 1261–1269

    CAS  Google Scholar 

  • Tong J, Yates JR, Brown MW (1994b) The significance of mean stress on the fatigue crack growth threshold for mixed mode I and II loading. Fatigue Fract Eng Mater Struct 17(7): 829–838

    Article  CAS  Google Scholar 

  • Tong J, Yates JR, Brown MW (1995) A model for sliding mode crack closure, II, mixed-mode-I and mixed-mode-II loading and application. Eng Fract Mech 52: 613–623

    Article  Google Scholar 

  • Wei LW, James MN (2002) Fatigue crack closure for inclined and kinked cracks. Int J Fract 116: 25–50

    Article  CAS  Google Scholar 

  • Werner GK, Stephens RI (1989) Fatigue crack growth properties of 1045 hot-rolled steel. In: Leese GE, Socie DF (eds) Multiaxial fatigue: analysis and experiments SAE AE-14, Society of Automotive Engineers, Warrendale, PA, USA, pp 149–156

  • Worthem DW (1984) Small crack growth in biaxial fatigue, materials engineering report 107, UIUC-ENG 84-3607. Department of Mechanical and Industrial Engineering University of Illinois at Urbana-Champaign, Urbana-Champaign, IL, USA

  • Zhang GP, Wang ZG (1997) Short fatigue crack growth under mixed mode loading in Ni3Al alloy single crystals. Mat Sci Eng A 229: 129–136

    Article  Google Scholar 

  • Zhang HY, Stephens RI,Warner G (1999) Fracture toughness of induction case hardened, normalized and through hardened SAE 1045 steel round bars. In: Cordes T, Lease K (eds) Multiaxial fatigue of an induction hardened shaft, SAE AE-28, Chapter 16, pp 175–184

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Authors and Affiliations

  1. University of Toledo, Toledo, OH, USA

    Hui Zhang

  2. 2H Offshore Inc., Houston, TX, USA

    Hui Zhang

  3. Mechanical, Industrial and Manufacturing Engineering Department, The University of Toledo, 2801 West Bancroft Street, Toledo, OH, 43606, USA

    Ali Fatemi

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  1. Hui Zhang
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  2. Ali Fatemi
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Correspondence to Ali Fatemi.

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Zhang, H., Fatemi, A. Short fatigue crack growth behavior under mixed-mode loading. Int J Fract 165, 1–19 (2010). https://doi.org/10.1007/s10704-010-9497-2

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