4.7 Article

Continuum dislocation theory accounting for redundant dislocations and Taylor hardening

Journal

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
Volume 106, Issue -, Pages 155-167

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijengsci.2016.06.001

Keywords

Dislocations; Yield stress; Hardening; Stress-strain curve; Size effect

Funding

  1. German Science Foundation (DFG) [LE 1216/4-2]

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This paper develops the phenomenological continuum dislocation theory accounting for the density of redundant dislocations and Taylor hardening for single crystals. As illustration, the problem of anti-plane constrained shear of single crystal deforming in single slip is solved within the proposed theory. The distribution of excess dislocations in the final state of equilibrium as well as the stress-strain curve exhibiting the Bauschinger translational work hardening and the size effect are found. Comparison with the stress-strain curve obtained from the continuum dislocation theory without the density of redundant dislocations and Taylor hardening is provided. (C) 2016 Elsevier Ltd. All rights reserved.

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