Computational strain gradient crystal plasticity

Christian Frithiof Niordson, Jeffrey W. Kysar

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Abstract

A numerical method for viscous strain gradient crystal plasticity theory is presented, which incorporates both energetic and dissipative gradient effects. The underlying minimum principles are discussed as well as convergence properties of the proposed finite element procedure. Three problems of plane crystal plasticity are studied: pure shear of a single crystal between rigid platens as well as plastic deformation around cylindrical voids in hexagonal close packed and face centered cubic crystals. Effective in-plane constitutive slip parameters for plane strain deformation of specifically oriented face centered cubic crystals are developed in terms of the crystallographic slip parameters. The effect on geometrically necessary dislocation structures introduced by plastic deformation is investigated as a function of the ratio of void radius to plasticity length scale.
Original languageEnglish
JournalJournal of the Mechanics and Physics of Solids
Volume62
Pages (from-to)31-47
ISSN0022-5096
DOIs
Publication statusPublished - 2014

Keywords

  • Crystal plasticity
  • Strain gradient plasticity
  • Size effects
  • Finite elements

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