Modelling deformation microstructure with the crystal plasticity finite–element method

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 sub...

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Bibliographic Details
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
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Summary: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.
ISSN:1364-503X
1471-2962
DOI:10.1098/rsta.1999.0391