On the asymmetric yield surface of plastically orthotropic materials: A phenomenological study

C. Liu*, Y. Huang, M. G. Stout

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

72 Scopus citations


Hill's (1948) yield criterion for plastically orthotropic solids is extended to include materials whose tensile and compressive yield stresses, obtained from uniaxial loading tests, are different. First, we review and discuss the classic yield criteria in plasticity theory including plastically isotropic and anisotropic materials. Then, we present a yield criterion for plastic anisotropic solids whose initial yield surface may not be symmetric about the origin in stress space. The new criterion is based on the criterion given by Hill (Proc. Roy. Soc. London A, 1948, 193, 281) for anisotropic solids and the criterion proposed by Drucker and Prager (Q. Appl. Math., 1952, 10, 157) for soil whose tensile and compressive strengths are far apart. The coefficients that appear in the new criterion can be determined from uniaxial tension and compression, and simple shearing tests. The formulae for the determination of those coefficients are given. Specifically, the new criterion is applied to the yielding of thin sheets where a plane stress condition prevails. Finally, the prediction of the criterion is compared with the experimental data obtained by Lee and Backofen (Trans. Metall. Soc. AIME, 1966, 236, 1966) on titanium alloy sheets,

Original languageEnglish (US)
Pages (from-to)2397-2406
Number of pages10
JournalActa Materialia
Issue number6
StatePublished - Jun 1997

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Ceramics and Composites
  • Polymers and Plastics
  • Metals and Alloys

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