Deterministic Theorem on Fatigue and Fracture

  • J. J. Xiong
  • R. A. Shenoi
Part of the Springer Series in Reliability Engineering book series (RELIABILITY)


This chapter seeks to outline the basic concepts, deterministic theorem, determination principles and design approaches on fatigue and fracture as well as their application in engineering. Novel concepts and formulations on generalized fatigue and fracture S-N surfaces and constant life curves, etc. are proposed. Finally, two-stage models for total life prediction are addressed.


Fatigue Crack Stress Intensity Factor Plastic Zone Crack Growth Rate Fatigue Crack Growth 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    Goodman J (1899) Mechanics applied to engineering (1st ed.). London, Longmans, Green and CoGoogle Scholar
  2. 2.
    Gerber WZ (1874) Bestimmung der zulässigen Spannungen in Eisen-Constructionen. [Calculation of the allowable stresses in iron structures]. Z Bayer Archit Ing Ver 6(6):101–110Google Scholar
  3. 3.
    Soderberg CR (1930) Factor of safety and working stress. Transaction of American Society of Mechanical Engineering, Part APM-52-2, 13–28Google Scholar
  4. 4.
    Zhao S, Wang Z (1992) Fatigue design. Mechanical Industry Press, Beijing, pp 48–51 (in Chinese)Google Scholar
  5. 5.
    Bagci C (1981) Fatigue design of machine elements using the ‘Bagci line’ defining the fatigue failure surface line (mean stress diagram). Mech Mach Theory 16(4):339–359CrossRefGoogle Scholar
  6. 6.
    Kujawski D, Ellyin F (1995) A unified approach to mean stress effect on fatigue threshold conditions. Int J Fatigue 17:101–106CrossRefGoogle Scholar
  7. 7.
    Xiong JJ, Shenoi RA, Zhang Y (2008) Effect of the mean strength on the endurance limit or threshold value of the crack growth curve and two-dimensional joint probability distribution. J Strain Anal Eng Des 43(4):243–257CrossRefGoogle Scholar
  8. 8.
    Wheeler OE (1972) Spectrum loading and crack growth. J Basic Eng 94:181–186CrossRefGoogle Scholar
  9. 9.
    Willenborg J, Engle RM, Wood HA (1971) A crack growth retardation model using an effective stress concept. Report No. AFFDL-TR71-1. Air Force Flight Dynamic Laboratory. Wright-Patterson Air Force Base, USAGoogle Scholar
  10. 10.
    Miller MS, Gallagher GP (1981) An analysis of several fatigue crack growth rate descriptions. Measurement and Data Analysis, ASTM STP 738, 205–251Google Scholar
  11. 11.
    Hoeppner DW, Krupp WE (1974) Prediction of component life by application of fatigue crack growth knowledge. Eng Fract Mech 6:47–70CrossRefGoogle Scholar
  12. 12.
    Paris PC, Erdogan F (1963) A critical analysis of crack propagation laws. J Basic Eng Transaction ASME (Series D) 85:528–534Google Scholar
  13. 13.
    Trantina GG, Johnson CA (1983) Probabilistic defect size analysis using fatigue and cyclic crack growth rate data. Probabilistic Fracture Mechanics and Fatigue Methods, ASTM STP 798, 67–78Google Scholar
  14. 14.
    Walker EK (1970) The effect of stress ratio during crack propagation and fatigue for 2024-T3 and 7075-T6 aluminum. Effects of Environment and Complex Load History on Fatigue Life, ASTM STP 462:1–14Google Scholar
  15. 15.
    Forman RG et al (1967) Numerical analysis of crack propagation in cyclic loaded structures. J Basic Eng Transaction ASME (Series D) 89:459–465Google Scholar
  16. 16.
    Newman JC Jr (1984) A crack opening equation for fatigue crack growth. Int J Fract 24:131–135CrossRefGoogle Scholar

Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Aircraft DepartmentBeihang UniversityBeijingPeople’s Republic of China
  2. 2.School of Engineering Sciences, University of SouthamptonSouthamptonUK

Personalised recommendations