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A robust kinematic hardening rule for cyclic plasticity with ratchetting effects

Part I. Theoretical formulation

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Summary

A robust kinematic hardening rule is proposed which appropriately blends the deviatoric stress rate rule and the Tseng-Lee rule in order to satisfy both the experimental observations made by Phillips et al. [1]–[5] and the nesting of the yield surface to the limit surface. The work presented in Part I is confined to the theoretical formulation of kinematic hardening rule with limited correlation to experimental results. A more general expression for the plastic modulus is proposed. The expressions proposed by McDowell and by Dafalias can be obtained as a special case of the proposed expression. An additional parameter ζ is introduced that reflects the dependence of the plastic modulus on the angle between the deviatoric stress rate tensor and the direction of the limit backstress relative to the yield backstress.

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Voyiadjis, G.Z., Sivakumar, S.M. A robust kinematic hardening rule for cyclic plasticity with ratchetting effects. Acta Mechanica 90, 105–123 (1991). https://doi.org/10.1007/BF01177403

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  • DOI: https://doi.org/10.1007/BF01177403

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