A Graphical Approach to Shakedown in Rolling Contact

  • K. L. Johnson


In repeated rolling contact, even though plastic deformation may occur during the first passage of the load, through the action of residual stresses and strain hardening of material, the steady cyclic state may lie within the elastic limit. Using the Tresca yield criterion it is shown in this paper how the maximum stress for shakedown - the shakedown limit - in line contact may be found by a simple graphical procedure.

Cases of tractive rolling, with both partial and complete slip, are examined for (a) a perfectly-plastic and (b) a kinematically hardening material.


Residual Stress Elastic Limit Yield Locus Rolling Contact Intermediate Principal Stress 
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Copyright information

© Elsevier Science Publishers Ltd 1990

Authors and Affiliations

  • K. L. Johnson
    • 1
  1. 1.Cambridge University Engineering LaboratoryCambridgeUK

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