Plastic flow localization in mechanism-based strain gradient plasticity

M. X. Shi*, Y. Huang, K. C. Hwang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


The theory of mechanism-based strain gradient (MSG) plasticity is used to study plastic flow localization in ductile materials. Unlike classical plasticity, the thickness of the shear band in MSG plasticity can be determined analytically from a bifurcation analysis, and the shear band thickness is directly proportional to the intrinsic material length, (μ/σY)2b associated with strain gradients, where μ is the shear modulus, σY is the yield stress, and b is the Burgers vector. The shear band thickness also depends on the softening behavior of the material. The analytical solution of the shear strain rate yields that the maximum shear strain rate inside the shear band is two orders of magnitude higher than that outside, which is a clear indication of plastic flow localization. The limitation of the present model is also discussed.

Original languageEnglish (US)
Pages (from-to)2115-2131
Number of pages17
JournalInternational Journal of Mechanical Sciences
Issue number11
StatePublished - Nov 2000

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Applied Mathematics
  • General Materials Science
  • Civil and Structural Engineering


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