Effect of intrinsic lattice resistance in strain gradient plasticity

X. Qiu, Y. Huang*, W. D. Nix, K. C. Hwang, H. Gao

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

88 Scopus citations


The theory of mechanism-based strain gradient (MSG) plasticity is generalized in this paper in order to account for the effect of intrinsic lattice resistance in the Taylor dislocation model. A multiscale, hierarchical framework is adopted to link the strain gradient plasticity theory on the mesoscale to the Taylor dislocation model on the microscale. It is established that the interaction between the strain gradient effect and the friction stress (intrinsic lattice resistance) is weak. The hardness increase due to intrinsic lattice resistance is nearly independent of the strain gradient effect. The linear relation between the square of micro-indentation hardness and reciprocal of indentation depth established by Nix and Gao has been extended to explain experimental data for bcc tungsten where the effect of intrinsic lattice resistance plays a significant role.

Original languageEnglish (US)
Pages (from-to)3949-3958
Number of pages10
JournalActa Materialia
Issue number19
StatePublished - Nov 14 2001


  • Strain gradient plasticity

ASJC Scopus subject areas

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

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