Thermodynamic dislocation theory for non-uniform plastic deformations

The present paper extends the thermodynamic dislocation theory developed by Langer, Bouchbinder, and Lookman to non-uniform plastic deformations. The free energy density as well as the positive definite dissipation function are proposed. The governing equations are derived from the variational equat...

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Bibliographic Details
Published inJournal of the mechanics and physics of solids Vol. 111; pp. 157 - 169
Main Author Le, K.C.
Format Journal Article
LanguageEnglish
Published London Elsevier Ltd 01.02.2018
Elsevier BV
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Summary:The present paper extends the thermodynamic dislocation theory developed by Langer, Bouchbinder, and Lookman to non-uniform plastic deformations. The free energy density as well as the positive definite dissipation function are proposed. The governing equations are derived from the variational equation. As illustration, the problem of plane strain constrained shear of single crystal deforming in single slip is solved within the proposed theory.
ISSN:0022-5096
1873-4782
DOI:10.1016/j.jmps.2017.10.022