Plane-stress deformation in strain gradient plasticity

J. Y. Chen*, Y. Huang, K. C. Hwang, Z. C. Xia

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


A systematic approach is proposed to derive the governing equations and boundary conditions for strain gradient plasticity in plane-stress deformation. The displacements, strains, stresses, strain gradients and higher-order stresses in three-dimensional strain gradient plasticity are expanded into a power series of the thickness h in the out-of-plane direction. The governing equations and boundary conditions for plane stress are obtained by taking the limit h→0. It is shown that, unlike in classical plasticity theories, the in-plane boundary conditions and even the order of governing equations for plane stress are quite different from those for plane strain. The kinematic relations, constitutive laws, equilibrium equation, and boundary conditions for plane-stress strain gradient plasticity are summarized in the paper.

Original languageEnglish (US)
Pages (from-to)105-111
Number of pages7
JournalJournal of Applied Mechanics, Transactions ASME
Issue number1
StatePublished - Mar 1 2000

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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