Archive of Applied Mechanics

, Volume 89, Issue 4, pp 629–637 | Cite as

Prediction of fatigue life under multiaxial loading by using a critical plane-based model

  • Jing LiEmail author
  • Yuan-ying Qiu
  • Chun-wang Li
  • Zhong-ping Zhang


Based on the critical plane concept, a simple model is proposed to estimate fatigue lives of metals subjected to both proportional and non-proportional loadings. In the proposed model, both parameters of shear and normal strain ranges are considered in the equivalent strain which is made with both parameters by means of the von Mises criterion. The maximum normal stress acting on the maximum shear strain range plane is introduced in the proposed model to take into account the effects of non-proportional hardening. Procedures used to determine the damage parameters acting on the plane of maximum shear strain range are also presented.


Multiaxial fatigue Critical plane Life prediction model Non-proportional hardening 



The authors gratefully acknowledge the financial support of the National Natural Science Foundation of China (Nos. 51601221 and 51575524), and the Fundamental Research Funds for the Central University (No. JB180402).


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Jing Li
    • 1
    Email author
  • Yuan-ying Qiu
    • 1
  • Chun-wang Li
    • 2
  • Zhong-ping Zhang
    • 2
  1. 1.School of Mechatronic EngineeringXidian UniversityXi’anChina
  2. 2.The Science InstituteAir Force Engineering UniversityXi’anChina

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