Banding in single crystals during plastic deformation

• Published in: International journal of plasticity Vol. 36; pp. 15 - 33
• Main Authors: Arul Kumar, M., Mahesh, Sivasambu
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.09.2012; Elsevier
• Subjects: Condensed matter: structure, mechanical and thermal properties; Crystal plasticity; Deformation and plasticity (including yield, ductility, and superplasticity); Dislocation boundary; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Inelasticity (thermoplasticity, viscoplasticity...); Macroscopic shear band; Mechanical and acoustical properties of condensed matter; Mechanical properties of solids; Physics; Regular deformation band; Single crystal; Solid mechanics; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Macroscopic shear band; Crystal plasticity; Regular deformation band; Single crystal; Dislocation boundary; Deformation band; Dislocation network; Experimental study; Modeling; Dislocation; Inelasticity; Elastoplasticity; Plane strain; Lattice model; Plasticity; Rigidoplastic material; Copper; Localization; Shear band
• ISSN: 0749-6419; 1879-2154
• DOI: 10.1016/j.ijplas.2012.03.008

► Computationally efficient model capable of predicting banding in single crystals is proposed. ► A novel method for incorporating microstructural information into the continuum model is introduced. ► Model banding predictions agree well with experimental observations reported in the literature. A rigid-plastic rate-independent crystal plasticity model capable of capturing banding in single crystals subjected to homogeneous macroscopic deformation is proposed. This model treats the single crystal as a ‘stack of domains’. Individual domains deform homogeneously while maintaining velocity and traction continuity with their neighbors. All the domains collectively accommodate the imposed deformation. The model predicts lattice orientation evolution, slip distribution, strain localization and band orientation in copper single crystals with imposed plane strain deformation. In quantitative agreement with experimental observations reported in the literature, macroscopic shear banding and regular deformation banding are predicted in initially copper and rotated cube oriented single crystals, respectively, while banding is not predicted in initially Goss oriented single crystals. The model does not, however, predict the experimentally observed orientation of smaller scale dislocation boundaries such as dense dislocation walls.