Finite element simulation of influences of grain interaction on rolling textures of fcc metals
Tóm tắt
A rate dependent crystal plasticity constitutive model considering self and latent hardening in finite element analysis was developed to simulate rolling textures of pure aluminum. By changing the assignment of orientations to finite elements, i. e. assigning the same set of orientations to all elements or different orientations to different elements, the influences of grain interaction on the formation of rolling textures were numerically simulated with this kind of crystal plasticity finite element model. The simulation results reveal that the grains without considering grain interaction rotate faster than those considering grain interaction, and the rotation of grain boundary is slowed down due to the grain interaction. For a good simulation more elements should be assigned to one grain, in which the effects of both the boundary and interior parts of grain contribute to the formation of rolling textures.
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Tài liệu tham khảo
Kocks U F. Relation between polycrystal deformation and single-crystal deformation [J]. Metall Trans, 1970, 1(5): 1121–1143.
Hirsch J, Lücke K. Mechanism of deformation and development of rolling textures in polycrystalline fcc metals (II): simulation and interpretation of experiments on the basis of Taylor-type theories[J]. Acta Metall, 1988, 36(11): 2883–2904.
ZHANG Xin-ming, LI Sai-yi. Research of textures in metallic materials and its development[J]. Bulletin of National Natural Science Foundation of China, 1995, 9 (3): 26–30. (in Chinese)
Kocks U F, Chandra H. Slip geometry in partially constrained deformation[J]. Acta Metall, 1982, 30 (3): 695–709.
Fortunier R, Driver J H. Grain reorientations in rolled aluminum sheet: comparison with predictions of continuous constraints model[J]. Acta Metall, 1987, 35 (6): 1355–1366.
Fortunier R, Driver J H. Continuous constraint model for large grain deformations[J]. Acta Metall, 1987, 35(2): 509–517.
Bronkhorst C A, Kaliddindi S R, Anand L. Polycrystalline plasticity and the evolution of crystallographic texture in fcc metals[J]. Phil Trans R Soc Lond A, 1992, 341(1662): 443–477.
Beaudoin A J, Dawson P R, Mathur K K, et al. A hybrid finite element formulation for polycrystal plasticity with consideration of macro-structural and microstructural linking[J]. Int J Plasticity, 1995, 11(5): 501–521.
Bachu V, Kalidindi S R. On the accuracy of the predictions of texture evolution by the finite element technique for fcc polycrystals[J]. Mater Sci Eng A, 1998, 257(2): 108–117.
Li S, Houtte P V. Performance of statistical (Taylor, Lamel) and CPFE models in texture predictions of aluminum alloys in cold rolling[J]. Aluminum, 2002, 78: 918–922.
Delannay L, Kalidindi S R, Houtte P V. Quantitative prediction of textures in aluminum cold rolled to moderate strains[J]. Mater Sic Eng A, 2002, 336(1–2): 233–244.
Houtte P V, Delannay L, Kalidindi S R. Comparison of two grain interaction models for polycrystal plasticity and deformation texture prediction [J]. Int J Plasticity, 2002, 18(3): 359–377.
Rabbe D, Zhao Z, Park S, et al. Theory of orientation gradients in plastically strained crystals[J]. Acta Materialia, 2002, 50(2): 421–440.
Sachteber M, Zhao Z, Rabbe D. Experimental investigation of plastic interaction[J]. Mater Sci Eng A, 2002, 336(1–2): 81–87.
Tarasiuk J, Wierzbanowshi K. Application of the linear regression method for comparison of crystallographic textures [J]. Philosophical Magazine A, 1996, 73: 1083–1091.
Jura J, Pospiech J. On the ghost structure of orientation distributions derived from pole figures [J]. Zeitschrift für Metallkunde, 1980, 71: 714–728.
Hirsch J, Lücke K. Application of quantitative texture analysis for investigating continuous and discontinuous recrystallization process of Al-0.01Fe [J]. Acta Metall, 1985, 33(10): 1927–1938.
Asaro R J. Geometrical effects of in the inhomogeneous deformation of ductile single crystals[J]. Acta Metall, 1979, 27(3): 445–452.
Rice J R. Inelastic constitutive relations for solids: an internal variable theory and its application to metal plasticity[J]. J Mech Phys Solids, 1971, 19(6): 433–455.
Asaro R J, Needleman A. Texture development and strain hardening in rate-dependent polycrystals [J]. Acta Metall, 1985, 33(6): 923–953.