Full-field vs. homogenization methods to predict microstructure-property relations for polycrystalline materials
Chapitre d'ouvrage scientifique
Author
Abstract
In this chapter, we review two recently proposed methodologies, based on crystal plasticity, for the prediction of microstructure-property relations in polycrystalline aggregates. The first, known as the second-order viscoplastic self-consistent (SC) method, is a mean-field theory, while the second, known as the fast Fourier transform (FFT)-based formulation, is a full-field method. The main equations and assumptions underlying both formulations are presented, using a unified notation and pointing out their similarities and differences. Concerning mean-field SC homogenization theories for the prediction of mechanical behavior of nonlinear viscoplastic polycrystals, we carry out detailed comparisons of the different linearization assumptions that can be found in the literature. Then, after validating the FFT-based full-field formulation by comparison with available analytical results, the effective behavior of model material systems predicted by means of different SC approaches are compared with ensemble averages of full-field solutions. These comparisons show that the predictions obtained by means of the second-order SC approach-which incorporates statistical information at grain level beyond first-order, through the second moments of the local field fluctuations inside the constituent grains-are in better agreement with the FFT-based full-field solutions. This is especially true in the cases of highly heterogeneous materials due to strong nonlinearity or single-crystal anisotropy. The second-order SC approach is next applied to the prediction of texture evolution of polycrystalline ice deformed in compression, a case that illustrates the flexibility of this formulation to handle problems involving materials with highly anisotropic local properties. Finally, a full three-dimensional implementation, the FFT-based formulation, is applied to study subgrain texture evolution in copper deformed in tension, with direct input and validation from orientation images. Measurements and simulations agree in that grains with initial orientation near<110>tend to develop higher misorientations. This behavior can be explained in terms of attraction toward the two stable orientations and grain interaction. Only models like the FFT-based formulation that account explicitly for interaction between individual grains are able to capture these effects.
Files in this item
- Name:
- PIMM_CMMPR_2011_CASTELNAU.pdf
- Size:
- 1.266Mb
- Format:
- Description:
- Chapitres d'ouvrages scientifiques
Related items
Showing items related by title, author, creator and subject.
-
Ouvrage scientifiqueCASTELNAU, Olivier; LEBENSOHN, Ricardo; CASTAEDA, Pedro Ponte; BLACKMAN, Donna (ISTE, 2008)The Earth’s upper mantle is known to exhibit elastic anisotropy, which is common-ly attributed to the presence of Lattice Preferred Orientations (LPO). Such anisotropy is revealed in recordings of seismic waves that travel ...
-
Article dans une revue avec comité de lectureBORNERT, M; CASTELNAU, Olivier; PONTE CASTANEDA, P.; SUQUET, Pierre; BRENNER, Renald (Elsevier Masson, 2012)La Mécanique des Matériaux a connu, en France et dans le monde, un développement spectaculaire au cours des dernières décennies, rendu à la fois nécessaire par les besoins d’innovation et de sûreté de secteurs industriels ...
-
Article dans une revue avec comité de lectureLEBENSOHN, Ricardo A.; HARTLEY, Craig S.; TOMÉ, Carlson N.; CASTELNAU, Olivier (Taylor & Francis, 2010)This paper presents a crystallographically-based constitutive model of a single crystal deforming by climb and glide. The proposed constitutive law is an extension of the rate-sensitivity approach for single crystal ...
-
Article dans une revue avec comité de lectureFAURIE, D; DJEMIA, P; CASTELNAU, Olivier; BRENNER, Renald; BELLIARD, L; GOUDEAU, P; RENAULT, P.-O; LE BOURHIS, E (Elsevier, 2015)We show in this paper by using a two-scale transition model that the elastic anisotropy of a thin film specimen can be tuned by appropriate stacking design. The anisotropic behaviour is illustrated for two monophase thin ...
-
Article dans une revue avec comité de lectureMASSON, Renaud; BRENNER, Renald; CASTELNAU, Olivier (Elsevier Masson, 2012)An approximate self-consistent modelling is proposed to estimate the effective viscoelastic response of polycrystals presenting an ageing constitutive behaviour. This approach makes use of the equivalence between the ...