• Dariusz SkibickiEmail author
Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)


The purpose of this monograph is to present to the reader a comprehensive overview of non-proportional fatigue loading. It fills the obvious void in fatigue related publications that stems from a fragmentary treatment of the problem in publications and conferences. This monograph contains two main parts referred to in the title.  Chapters 2 and  3 discuss non-proportional fatigue, whereas computational models are contained in  Chap. 4.


Principal Axis Fatigue Damage Uniaxial Loading Fatigue Process Multiaxial Fatigue 
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. Carpinteri A, Brighenti R, Macha E, Spagnoli A (1999) Expected principal stress directions under multiaxial random loading. Part II: numerical simulation and experimental assessment through the weight function method. Int J Fatigue 21(1):89–96. doi: 10.1016/S0142-1123(98)00047-4 CrossRefGoogle Scholar
  2. Ellyin F, Golos K, Xia Z (1991) In-phase and out-of-phase multiaxial fatigue. J Eng Mater Technol Trans Asme 113(1):112–118. doi: 10.1115/1.2903365 CrossRefGoogle Scholar
  3. Itoh T, Miyazaki T (2003) A damage model for estimating low cycle fatigue lives under nonproportional multiaxial loading. ESIS Publ 31:423–439Google Scholar
  4. Mcdiarmid DL (1986) Fatigue under out-of-phase bending and torsion. Fatigue Fract Eng M 9(6):457–475CrossRefGoogle Scholar
  5. Nishihara T, Kawamoto M (1945) The strength of metals under combined alternating bending and torsion with phase difference. Mem Coll Eng, Kyoto Imperial Univ 11:85–112Google Scholar
  6. Socie D (1987) Multiaxial fatigue damage models. J Eng Mater Technol Trans Asme 109(4):293–298CrossRefGoogle Scholar
  7. Sonsino CM, Zenner H, Carpinteri A, Pook LP (2006) Selected papers from the 7th International conference on biaxial/multiaxial fatigue and fracture (ICBMFF), held in Berlin (Germany), on 28 June to 1 July 2004. Int J Fatigue 28(5–6):449–450. doi: 10.1016/j.ijfatigue.2005.10.002
  8. Stephens RI, Fatemi A, Stephens RR, Fuchs HO (2001) Metal fatigue in engineering, 2 edn. A Wiley, New YorkGoogle Scholar

Copyright information

© The Author(s) 2014

Authors and Affiliations

  1. 1.Faculty of Mechanical EngineeringUniversity of Technology and Life ScienceBydgoszczPoland

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