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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| Published in | Journal of the mechanics and physics of solids Vol. 111; pp. 157 - 169 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
London
Elsevier Ltd
01.02.2018
Elsevier BV |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Le, K.C. |
| Author_xml | – sequence: 1 givenname: K.C. surname: Le fullname: Le, K.C. email: chau.le@rub.de organization: Lehrstuhl für Mechanik - Materialtheorie, Ruhr-Universität Bochum, D-44780 Bochum, Germany |
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| SubjectTerms | Configurational temperature Deformation Dislocations Flux density Free energy Plane strain Plastic deformation Plastic yielding Single crystals Strain rate Studies Thermodynamics |
| Title | Thermodynamic dislocation theory for non-uniform plastic deformations |
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