Plastic Deformation of Bicrystals Within Continuum Dislocation Theory

Within continuum dislocation theory the plastic deformation of bicrystals under plane strain constrained shear is considered. An analytical solution is found in the symmetric case (for twins) which exhibits the energetic and dissipative thresholds for dislocation nucleation, the Bauschinger translat...

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Bibliographic Details
Published in:Mathematics and mechanics of solids 2009-08, Vol.14 (6), p.540-563
Main Authors: Kochmann, D.M., Le, K.C.
Format: Article
Language:English
Subjects:
Condensed matter: structure, mechanical and thermal properties
Defects and impurities in crystals
microstructure
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Linear defects: dislocations, disclinations
Physics
Solid mechanics
Structural and continuum mechanics
Structure of solids and liquids
crystallography
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Summary:Within continuum dislocation theory the plastic deformation of bicrystals under plane strain constrained shear is considered. An analytical solution is found in the symmetric case (for twins) which exhibits the energetic and dissipative thresholds for dislocation nucleation, the Bauschinger translational work hardening, and the size effect. Similar features hold true also for the numerical solution in the general case.
ISSN:1081-2865
1741-3028
DOI:10.1177/1081286507087322