A theoretical prediction of the strain path of anisotropic sheet metal deformed under uniaxial and biaxial stress state

Kang Cheung Chan, Wing Bun Lee

Research output: Journal article publicationJournal articleAcademic researchpeer-review

8 Citations (Scopus)


A model based on a combination of the micro- and macroscopic theories of plasticity has been built to predict the strain path of a textured sheet metal for a given imposed stress state. By applying the flow rule to a crystallographically based anisotropic continuum yield locus, the deformation strain tensor is determined. For each small increment of deformation, the change in the crystal rotation of each grain is followed and the strain tensor recalculated. The successive changes in the strain state with strain increment give the strain path followed by a material element. Analyses are made for different crystallographic orientations and typical sheet textures of commercially pure aluminium and a Cu-20% Zn alloy deformed in either the uniaxial or equibiaxial stress states. It is found that the simulated strain paths often deviate from those based on isotropic assumptions. The significance of the finding to the study of the formability of sheet metal is discussed.
Original languageEnglish
Pages (from-to)497-511
Number of pages15
JournalInternational Journal of Mechanical Sciences
Issue number6
Publication statusPublished - 1 Jan 1990

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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