Cailletaud A micromechanical approach to inelastic behaviour of metals, Int. Berveiller Elastoplasticité des métaux en grandes déformations: comportement global et évolution de la structure interne, Rev. Zaoui An Extension of the self-consistent scheme to plastically flowing polycrystals, J. ![]() Tome A self-consistent visco-plastic model: calculation of rolling textures of anisotropic materials, Mater. Molinari Extensions of the self-consistent tangent model, Model. ![]() Donadille Présentaion d’un modèle polycrystallin extrémal: application aux aciers d’un modèle approché, Mém. Arminjon Théorie d’une classe de modèles de Taylor Hétérogènes: application aux textures de déformation des aciers, Acta. Van Houtte On the equivalence of the relaxed taylor theory and the bishop-hill theory for partially constrained plastic deformation of crystals, Mater. Liholt, eds.), Risø National Laboratory, Roskilde, Denmark, 1981, pp. Canova How many slip systems and which?, Deformation of polycrystals: Mechanisms and Microstructures, 2nd International Symposium on Metallurgy and Materials Science (N. Mecking Low temperature deformation of polycrystals, Proceedings of the 2th International Symposium on Metallurgy and Materials Science: Deformation of Polycrystals, Danmarks Tekniske Universitet, 1981, pp. Mecking A method for the determination of the active slip systems and orientation changes during single crystal deformation, Proceedings of the 5th International Conference on Texture of Materials, Springer Verlag, 1978, pp. Hill A theory of the plastic distortion of a polycrystalline aggregate under combined stresses, Lond. Sachs Zur Ableitung einer Fliessbedingung, Z. Becker Pencil glide formulation for polycrystal modelling, Scr. Jonas Theoretical analyses of 〈 111 〉 pencil glide in b.c.c. Elam The distortion of iron crystals, Proc. Chavanne Investigation of slip system activity in iron at room temperature by SEM and AFM in-situ tensile and compression tests of iron single crystals, Int. Franciosi Expectable specific features of BCC crystal plastic flow and consistency with the Schmid law, Phil. Gilormini The theory of rate sensitive pencil glide application to rolling textures, Acta Metall. The pencil glide approach can be viewed as a reduced order model enhancing computational efficiency of crystal plasticity simulations involving many slip mechanisms. Limitations of the approach, especially in the case of simple shear textures, are also pointed out. ![]() The evolution of crystallographic textures obtained either based on pencil glide or using the 24 slip systems is analyzed and compared to classical experimental results from the literature. The comparison is extended to α-iron polycrystals behaviour under tension, compression, rolling and simple shear loading conditions. In the case of α-iron single crystals both approaches are shown to accurately reproduce recent experimental results . The response of the pencil glide model in terms of stress-strain curves and lattice rotation is compared to the prediction based on the consideration of all ( 〈 111 〉 ) slip systems. For that purpose, the pencil glide extension of Schmid’s criterion used by Gilormini is incorporated in a single crystal model and in a homogenized polycrystal model accounting for large elastoviscoplastic deformations. The present work demonstrates that the pencil glide mechanism is a physically reliable and a computationally efficient model to simulate the nonlinear behaviour of b.c.c.
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