An exact solution for the elastic/plastic bending of anisotropic sheet metal under conditions of plane strain

J. Chakrabarty, Wing Bun Lee, Kang Cheung Chan

Research output: Journal article publicationJournal articleAcademic researchpeer-review

25 Citations (Scopus)


A theoretical analysis for the elastic/plastic bending of sheet metal exhibiting a state of normal anisotropy is considered in this paper, assuming a plane strain condition to exist in the deformation process. The material is supposed to yield according to Hill's quadratic yield criterion and its associated normality rule of plastic flow. The relationship between the bending couple and the curvature of the bent sheet is presented in a graphical form that reveals the influence of anisotropy and strain-hardening on the bending characteristic of the sheet metal. The results indicate that the elementary bending theory significantly overestimates the magnitude of the bending couple to produce a given elastic/plastic curvature of the bent sheet.
Original languageEnglish
Pages (from-to)1871-1880
Number of pages10
JournalInternational Journal of Mechanical Sciences
Issue number8
Publication statusPublished - 1 Aug 2001


  • Anisotropy
  • Bending theory
  • Elastic/plastic deformation

ASJC Scopus subject areas

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

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