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Original Articles

Probabilistic model of fatigue crack propagation and estimation of probability-confidence bounded a–N curves

References

  • Y. K. Lin and J. N. Yang, On Statistical Moments of Fatigue Crack Propagation, Engng. Fract. Mech., vol. 18, pp. 243–262, 1983.
  • Y. K. Lin and J. N. Yang, A Stochastic theory of Fatigue Crack Propagation, AIAA J., vol. 23, pp. 117–124, 1985.
  • Y. K Lin, W. F. Wu, and J. N. Yang, Stochastic Modeling of Fatigue Crack Propagation, Probabilistic Methods in Mechanics of Solids and Structure, Springer, Berlin, 1985.
  • W. Q. Zhu, Y. K. Lin, and Y. Lei, On Fatigue Crack Growth Under Random Loading, Engng. Fract. Mech., vol. 43, pp. 1–12, 1992.
  • A. Tsurui and H. Ishikawa, Application of Fokker-Planck Equation to a Stochastic Fatigue Crack Growth Model, J. Struct. Safety, vol. 4, pp. 15–29, 1986.
  • J. L. Bogdanoff and F. Kozin, Probabilistic Models of Cumulative Damage, Wiley, New York, 1985.
  • K. Sobczyk and B. F. Spencer, Random Fatigue: From Data to Theory, Academic Press, Boston, 1992.
  • G. Maymon, The Problematic Nature of the Application of Stochastic Crack Growth Models in Engineering Design, Engng. Fract. Mech., vol. 53 (6), pp. 911–916, 1996.
  • F. Kozin and J. L. Bogdanoff, A Critical Analysis of Some Probabilistic Models of Fatigue Crack Growth, Engng. Fract. Mech., vol. 14, pp. 59–89, 1981.
  • W. F. Wu and C.C. Ni, Probabilistic Models of Fatigue Crack Propagation and their Experimental Verification, Probab. Engng. Mech., pp. 247–257, 2004.
  • W. Elber, Fatigue Crack Closure Under Cyclic Tension, Engng. Fract. Mech., vol. 2, pp. 37–45, 1970.
  • J. N. Yang and S. D. Manning, A Simple Second Order Approximation for Stochastic Crack Growth Analysis, Engng. Fract. Mech., vol. 53, pp. 677–686, 2003.
  • D. A Virkler, B. M Hillberry, and P. K. Goel, The Statistic Nature of Fatigue Crack Propagation, ASME J. Engng. Mater. Technol., vol. 101, pp. 148–53, 1979.
  • H. Ghonem and S. Dore, Experimental Study of the Constant Probability Crack Growth Curves Under Constant Amplitude Loading, Engng. Fract. Mech., vol. 27, pp. 1–25, 1987.
  • W. F. Wu and C. C. Ni, A Study of Stochastic Fatigue Crack Growth Modeling through Experiment Data, Probab. Engng. Mech., vol. 18, pp. 107–18, 2003.
  • W. F. Wu and C. C. Ni, Statistical Aspect of Some Fatigue Crack Growth Data, Engng. Fract. Mech., vol. 74, pp. 2952–2963, 2007.
  • K. Hariharan, V. Raghu, and A. Prakash, Study of Multi-Segment Fatigue Crack Growth Data Analysis Procedure for Probabilistic Crack Growth Prediction, Int. J. Fatigue, vol. 33, pp. 1557–1563, 2011.
  • da Dorota Kocan´ and Michał Jasztal, Probabilistic Predicting the Fatigue Crack Growth Under Variable Amplitude Loading, Int. J. Fatigue, vol. 39, pp. 68–74, 2012.
  • A. A. Griffith, The Phenomena of Rupture and Flow in Solids, Phil. Trans. Royal Soc. London, vol. 221(A), pp. 163–198, 1921.
  • D. V. Ramsamooj and T. A. Shugar, Model Prediction of Fatigue Crack Propagation in Metal Alloys in Laboratory Air, Int J. Fatigue, vol. 23, pp. S287–S300, 2001.
  • A. A. Wells, Applications of Fracture Mechanics at and Beyond General Yielding, British Weld. J., vol. 10, pp. 563–70, 1963.
  • J. C. Newman, A Crack Opening Stress Equation for Fatigue Crack Growth, Int. J. Fracture, vol. 24, pp. R131–R135, 1984.
  • G. Marci, A Fatigue Crack Threshold, Engng. Fract. Mech., vol. 41 (3), pp. 367–385, 1992.
  • P. K. Liaw, T. R. Leax, and W. A. Logston, Near Threshold Fatigue Crack Growth Behaviour in Metals Acta Metal, vol. 31 (10), pp. 1581–1587, 1983.
  • Yukitaka Murakami and Kenji Matsuda, Dependence of Threshold Stress Intensity Factor Range ΔKth on Crack Size and Geometry and Material Properties, Trans. JSME A, vol. 52(478) pp. 1492–1499, 1986.
  • Boris Margolin, G. Alexander, and S. Victoria, Fracture Toughness Prediction in Probabilistic Statement Based on New Local Fracture Criteria. Trans of 15th Int. Conf. Struct. Mech. React. Technol. (SMiRT-15), Seoul, Korea, 1999, pp. G10/6, v425-v432.
  • K. Wallin, The Scatter in KIC Results, Engng. Fract. Mech., vol. 19, pp. 1085–1093, 1984.
  • K. Dolinski, Stochastic Modeling and Statistical Verification of Crack Growth Under Constant Amplitude Loading, Engng. Fract. Mech., vol. 43(2), pp. 195–216, 1992.
  • P. C. Gope, Determination of Sample Size for Estimation of Fatigue Life by Using Weibull and Log Normal Distribution, Int. J. Fatigue, vol. 21, pp. 745–752, 1999.
  • N. Parida, S K. Das, P C. Gope, and O. N. Mohanty, Probability, Confidence, and Sample Size in Fatigue Testing, J. Test. & Eval., vol. 8(6) pp. 385–389, 1990.
  • P. C. Gope, Determination of Minimum Number of Specimens in S-N testing, J. Engng. Mater. &Technol., vol. 124, pp. 421–427, 2002.
  • A J. McEvily, Current Aspects of Fatigue, Metal Sci., vol. 8–9, pp. 274–284, 1977.
  • R. W. Hetzberg, Deformation and Fracture Mechanics of Engineering Materials, Wiley, New York, 1995.
  • M. Katcher and M. Kaplan, Effect of R Factor and Crack Closure on Fatigue Crack Growth for Aluminum and Titanium Alloys, ASTM STP, vol. 559, p. 264, 1974.
  • G. O. Johnston, A Review of Probabilistic Fracture Mechanics Literature, Reliab. Engng., vol. 3, pp. 423–448, 1982.
  • D. O. Harris, Probabilistic Fracture Mechanics, in C. Sundararajan (ed.), Pressure Vessel and Piping Tech, pp. 771–791, Springer-Science Business Media BV, Dordrecht, Netherlands, 1985.
  • Kumar Raghuvir and A. K. Pandey, Investigation of Fatigue Crack Growth Under Constant Amplitude Loading, Int. J. Pres. Ves & Piping, vol. 41, pp. 179–192, 1990.
  • Kumar Raghuvir and S. B. L. Garg, A Study of Effective Stress range Ratio in Programmed Loading, Int. J. Pres. Ves. & Piping, vol. 37, pp. 331–343, 1989.
  • P. C. Gope, S. Bhatt, and M. Pant, Geometry and Material Property Uncertainty Model for Fatigue Life Predictions, Proc. SEM Annu. Conf. Exposition, Paper No. 119, Springfield, Massachusetts, USA, 2007.

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