Plane constrained uniaxial extension of a single crystal strip

• Published in: International journal of plasticity Vol. 25; no. 10; pp. 1950 - 1969
• Main Authors: Le, K.C., Sembiring, P.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.10.2009; Elsevier
• Subjects: A. Dislocations; A. Microstructures; A. Yield condition; B. Crystal plasticity; C. Energy methods; 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; A. Yield condition; A. Microstructures; A. Dislocations; B. Crystal plasticity; C. Energy methods; Energy method; Work hardening; Nucleation; Uniaxial tension stress; Dislocations; Exact solution; Continuum; Finite element method; Bauschinger effect; Inelasticity; Monocrystals; Slip system; Size effect; Plasticity; Modelling; Dislocation theory; Microstructure; Strain hardening
• ISSN: 0749-6419; 1879-2154
• DOI: 10.1016/j.ijplas.2008.12.010

Within continuum dislocation theory the plane constrained uniaxial extension of a single crystal strip deforming in single or double slip is analyzed. For the single and symmetric double slip, the closed-form analytical solutions are found which exhibits the energetic and dissipative thresholds for dislocation nucleation, the Bauschinger translational work hardening, and the size effect. Numerical solutions for the non-symmetric double slip are obtained by finite element procedures.