Finite deformation analysis of mechanism-based strain gradient plasticity: Torsion and crack tip field

K. C. Hwang, H. Jiang, Y. Huang, H. Gao

Research output: Contribution to journalArticle

64 Scopus citations

Abstract

A finite deformation theory of mechanism-based strain gradient (MSG) plasticity is developed in this paper based on the Taylor dislocation model. The theory ensures the proper decomposition of deformation in order to exclude the volumetric deformation from the strain gradient tensor since the latter represents the density of geometrically necessary dislocations. The solution for a thin cylinder under large torsion is obtained. The numerical method is used to investigate the finite deformation crack tip field in MSG plasticity. It is established that the stress level around a crack tip in MSG plasticity is significantly higher than its counterpart (i.e. HRR field) in classical plasticity.

Original languageEnglish (US)
Pages (from-to)235-251
Number of pages17
JournalInternational journal of plasticity
Volume19
Issue number2
DOIs
StatePublished - Feb 1 2003

Keywords

  • Finite deformation
  • Fracture
  • Strain gradient plasticity
  • Torsion

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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