Modelling deformation microstructure with the crystal plasticity finite–element method

• Published in: Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 1999-06, Vol.357 (1756), p.1589-1601
• Main Author: Bate, Peter
• Format: Article
• Language: English
• Subjects: Continuum Approximation; Crystals; Cubes; Deformation; Deformation Banding; Materials; Modeling; Orientation Splitting; Plane stress; Plasticity; Polycrystals; Rate-Sensitive Slip; Recrystallization; Recrystallization Modelling; Relaxed Constraint; Surface texture
• ISSN: 1364-503X; 1471-2962
• DOI: 10.1098/rsta.1999.0391

The finite-element (FE) method is commonly used to solve boundary value problems in continua. Constitutive equations based on crystal plasticity have been implemented in FE simulations, and these slip-based calculations have the potential to model a variety of interesting phenomena. However, the substructure of the deformed state in metals is inherently discontinuous. To what extent continuum plasticity calculations can be reasonably used for deformation microstructure predictions depends on the microstructural interpretation of the constitutive models. It is possible with quite simple models to predict orientation gradients at large second-phase particles and at grain boundaries. Because of the implicit link between the substructure and mechanical behaviour of metals, and the great flexibility that crystal plasticity models have, the prediction of at least some of the more important aspects of substructure, by association with state variables, is possible.