Anisotropic work hardening of steel sheets under plane stress

J. H. Hahm, K. H. Kim

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)


This work is a follow-up of the previous report by Kim and Yin [Kim, K.H., Yin, J.J., 1997. Evolution of anisotropy under plane stress. J. Mech. Phys. Solids 45, 841-851] regarding the anisotropic work hardening of cold rolled steel sheets. Tensile prestrain has been applied at angles to the rolling direction and then tensile uniaxial yield stress and R-value distributions are measured. As reported earlier, the orientations of local maxima and minima in the yield stress are altered when the prestrain axis is not in the rolling direction. This led Kim and Yin [Kim and Yin (1997)] to suggest that the orientations of orthotropy axes are altered by the tensile prestrain at angles to the rolling direction. However, R-value distribution is found to be hardly affected by the prestrain. The unchanging R-value distribution shows that the material remembers the rolling direction even after the prestrain. An attempt is made to approximate the observed yield and flow behavior based upon isotropic-kinematic hardening with the quadratic yield function (Hill, 1948). The degree of approximation raises the issues of yield point definition, flexibility of yield function, non-associated flow rules, distortional hardening and others.

Original languageEnglish
Pages (from-to)1097-1127
Number of pages31
JournalInternational Journal of Plasticity
Issue number7
Publication statusPublished - 2008 Jul


  • Back stress
  • Kinematic hardening
  • Plastic anisotropy
  • R-value
  • Yield stress

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering


Dive into the research topics of 'Anisotropic work hardening of steel sheets under plane stress'. Together they form a unique fingerprint.

Cite this