Multiaxial Fatigue Limit Criterion of Metals

A Mesoscopic Scale Approach
  • I. V. Papadopoulos
Part of the International Centre for Mechanical Sciences book series (CISM, volume 392)


In the present article attention is focused on the problem of the fatigue limit criterion, which is the extension of the usual concept of the uniaxial fatigue limit under multiaxial stress conditions. The intensity of the cyclic loads at the fatigue limit level is usually low such that the behaviour of the component remains apparently elastic at the macroscopic scale. However, it is experimentally observed that even is absence of detectable plastic strains, some metals grains located in the most stresses zones of a component suffer plastic slip. This irreversible process that takes place at the grain scale of the metal is responsible for crack initiation under high-cycle fatigue loading. Investigation of this phenomenon necessitates the introduction of the mesoscopic scale of material description (i.e. the scale of the metal grains of a metallic aggregate), in addition to the usual macroscopic scale of continuum mechanics. Within the framework of the mesoscopic scale approach, the local stresses and strains acting at the level of the metal grains are linked to the usual macroscopic stresses and strains with the help of Lin-Taylor assumption. The elaborated fatigue limit criterion is essentially defined as a restraint to be applied on the plastic strain accumulated by a cyclic loading in those crystals of the metallic aggregate that undergone plastic slip. Comparison of the predictions of the proposed criterion against experimental results obtained under proportional and non-proportional multiaxial stress conditions shows good agreement.


Fatigue Limit Resolve Shear Stress Kinematic Hardening Mesoscopic Scale Accumulate Plastic Strain 
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Copyright information

© Springer-Verlag Wien 1999

Authors and Affiliations

  • I. V. Papadopoulos
    • 1
  1. 1.European CommissionJoint Research CentreIspraItaly

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