Evolution of yield surface in the 2D and 3D stress spaces

Shin Jang Sung, Li Wei Liu, Hong Ki Hong, Han Chin Wu

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


Initial and subsequent yield surfaces for 6061 aluminum, determined by a method of automated yield stress probing, are presented in the 2D (σzz - σθz) and 3D (σ θθ - σzz - σθz) stress spaces. In the (σzz - σθz) space, yield surfaces at small pre-strains show the noses and unapparent cross effect. At larger pre-strains, they become ellipses with positive cross effect. In the (σθθ - σzz - σ θz) space, the initial yield surface is not well described by von Mises yield criterion due to material anisotropy. The yield surfaces of various torsional pre-strains show obvious rotation around the σzz axis but they do not rotate when subjected to axial pre-strains. Therefore, the rotation behavior of yield surface is pre-strain path dependent. The rotation of yield surfaces in the 3D space is the emphasis of the present paper. Coupled axial-torsional behavior subjected to torsion after axial pre-strain are also presented for the same material that is used to determine the yield surfaces. This information is useful for verification of constitutive models.

Original languageEnglish
Pages (from-to)1054-1069
Number of pages16
JournalInternational Journal of Solids and Structures
Issue number6
Publication statusPublished - 2011 Mar 15

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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