Dynamics of texture evolution in face-centered cubic polycrystals

Journal of the Mechanics and Physics of Solids

Volumn 57, Issue 3, 2009, Pages 422-445

  Kumar, Ashish ^a   Dawson, Paul R ^a  

^a Cornell University   (United States)

Author keywords

Crystal Plasticity; Dynamics; Polycrystalline material; Stability and bifurcation; Texture evolution

Indexed keywords

BIFURCATION (MATHEMATICS); CRYSTALS; DEFORMATION; DYNAMICS; LINEAR STABILITY ANALYSIS; PLASTICITY; POLYCRYSTALLINE MATERIALS; POLYCRYSTALS; SPIN DYNAMICS; TEXTURES;

CRYSTAL PLASTICITY; DEFORMATION MODES; EQUILIBRIUM ORIENTATIONS; FACE-CENTERED CUBIC; LINEAR STABILITIES; PARAMETRIZATION; PLANE STRAIN COMPRESSIONS; POLYCRYSTALLINE MATERIAL; PURE SHEARS; SIMPLE SHEARS; STABILITY AND BIFURCATION; TEXTURE DEVELOPMENT; TEXTURE EVOLUTION; VELOCITY FIELDS;

FILMS;

EID: 59649104718     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2008.11.013     Document Type: Article

References (57)

1. Asaro R., and Needleman A. Texture development and strain hardening in rate dependent polycrystals. Acta Metallurgica 33 (1985) 923-953
2. Beaudoin A.J., Dawson P.R., Mathur K.K., and Kocks U.F. A hybrid finite element formulation for polycrystal plasticity with consideration of macrostructural and microstructural linking. International Journal of Plasticity 11 (1995) 501-521
3. Becker S., and Panchanadeeswaran S. Crystal rotations represented as Rodrigues' vectors. Textures and Microstructures 10 (1989) 167-194
4. Canova G., Kocks U., and Jonas J. Theory of torsion texture development i. Acta Metallurgica 32 (1984) 211-226
5. Cho J.-H., and Dawson P.R. Investigation of texture evolution during friction stir welding of stainless steel. Metallurgical and Materials Transactions A 37 (2006) 1147-1164
6. Clément A. Prediction of deformation texture using a physical principle of conservation. Materials Science and Engineering A 5 (1982) 203-210
7. Clément A., and Coulomb P. Eulerian simulation of deformation textures. Scripta Metallurgica 13 (1979) 899-901
8. Dillamore I., and Katoh H. A comparison of the observed and predicted deformation textures in cubic metals. Metal Science 8 (1974) 21-27
9. Esling D., Bunge H.J., and Muller J. Description of texture changes by a rotation field. In: Kallend J.S., and Gottstein G. (Eds). Eighth International Conference on Textures of Materials (1988), The Metallurgical Society, Warrendale, PA 295-305
10. Frank F. Orientation mapping. In: Kallend J.S., and Gottstein G. (Eds). Eighth International Conference on Textures of Materials (1988), The Metallurgical Society, Warrendale, PA 3-13
11. Gilormini P., Tóth L., and Jonas J. An analytic method for the prediction of ODFs with application to the shear of fcc polycrystals. Proceedings of the Royal Society of London A 430 (1990) 489-507
12. Guckenheimer J., and Holmes P. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (1983), Springer, New York
13. Heinz A., and Neumann P. Representation of orientation and disorientation data for cubic, hexagonal, tetragonal and orthorhombic crystals. Acta Crystallographica Section A 47 (1991) 780-789
14. Hirsch J., and Lucke K. Mechanism of deformation and development of rolling textures in polycrystalline f.c.c. metals-i. Description of rolling texture development in homogeneous Cu-Zn alloys. Acta Metallurgica 36 11 (1988) 2863-2882
15. Hirsch J., and Lucke K. Mechanism of deformation and development of texture in polycrystalline fcc metals. Part ii. Simulation and interpretation of experiments on the basis of Taylor-type theories. Acta Metallurgica 36 (1988) 2883-2904
16. Hirsch M., and Smale S. Differential Equations, Dynamical Systems, and Linear Algebra (1974), Academic Press, New York
17. Hong S., and Lee D. Deformation and recrystallization textures in cross-rolled copper sheet. Journal of Engineering Materials and Technology 124 (2000) 13-22
18. Honneff H., and Mecking H. A method for the determination of the active slip systems and orientation changes during single crystal deformation. In: Gottstein G., and Lucke K. (Eds). Fifth International Conference on Textures of Materials (1978), Springer, New York
19. Hughes D., and Wenk H. The effect of stacking fault energy on the texture of nickel-cobalt solid solutions at large strains. In: Kallend J., and Gottstein G. (Eds). Eighth International Conference on Textures of Materials (1998), The Metallurgical Society, Warrendale, PA
20. Hutchinson J. Bounds and self-consistent estimates for creep of polycrystalline materials. Proceedings Royal Society London A 238 (1976) 101-127
21. Klein, H., Esling, D., Bunge, H.J., 1988. Model calculations of deformation texture on the basis of orientation flow fields. In: Eighth International Conference on Textures of Materials. The Metallurgical Society, Warrendale, PA, pp. 307-312.
22. Kocks U.F., Tome C.N., and Wenk H.-R. Texture and Anisotropy (1998), Cambridge University Press, Cambridge
23. Kumar, A., 1996. Polycrystal modeling with finite elements over orientation space. Ph.D. Thesis, Cornell University.
24. Kumar A., and Dawson P.R. The simulation of texture evolution with finite elements over orientation space-I. Development. Computer Methods in Applied Mechanics and Engineering 130 (1996) 227-246
25. Kumar A., and Dawson P.R. The simulation of texture evolution with finite elements over orientation space-II. Application to planar crystals. Computer Methods in Applied Mechanics and Engineering 130 (1996) 247-261
26. Kumar A., and Dawson P.R. Modeling crystallographic texture evolution with finite elements over neo-Eulerian orientation spaces. Computer Methods in Applied Mechanics and Engineering 153 (1998) 259-302
27. Kumar A., and Dawson P.R. Computational modeling of FCC deformation textures over Rodrigues space. Acta Materialia 48 (2000) 2719-2736
28. Leffers T., and Grum-Jensen A. Development of rolling texture in copper and brass. Transactions of the Metallurgical Society of AIME 243 (1968) 314-319
29. Macmillan E. Slow flows of anisotropic fluids. Journal of Rheology 33 (1989) 1071-1105
30. Mathur K.K., and Dawson P.R. On modeling the development of crystallographic texture in bulk forming processes. International Journal of Plasticity 5 (1989) 67-94
31. Maurice C., and Driver J. Hot rolling textures of f.c.c. metalspart i. Experimental results on al single and polycrystals. Acta Metallurgica 45 (1997) 4627-4638
32. Maurice C., and Driver J. Hot rolling textures of f.c.c. metalspart ii. Numerical simulations. Acta Metallurgica 45 (1997) 4639-4649
33. Miraglia M., Dawson P., and Leffers T. On the influence of mechanical environment on the emergence of brass textures in fcc metals. Acta Materialia 55 (2007) 799-812
34. Molinari A., Canova G., and Ahzi S. A self consistent approach of the large deformation polycrystal viscoplasticity. Acta Metallurgica 35 (1987) 2983-2993
35. Montheillet F., Cohen M., and Jonas J. Axial stresses and texture development during the torsion testing of Al, Cu and α-Fe. Acta Metallurgica 32 (1984) 2077-2078
36. Morawiec A. The rotation rate field and geometry of orientation space. Journal of Applied Crystallography 23 (1990) 374-377
37. Neumann P. Representation of orientations of symmetrical objects by Rodrigues' vectors. Textures and Microstructures 14-18 (1991) 53-58
38. Panchanadeeswaran S., and Field D. Texture evolution during plane strain deformation of aluminum. Acta Metallurgica 43 (1995) 1683-1692
39. Prantil V., Jenkins J.T., and Dawson P.R. An analysis of texture and plastic spin for planar polycrystals. Journal of Mechanics and Physics of Solids 41 (1993) 1357-1382
40. Raabe D., Roters F., Barlat F., and Chen L.-Q. Continuum Scale Simulation of Engineering Materials (2004), Wiley, New York
41. Raabe D., and Rotter G. Study on the orientational stability of cube-oriented fcc crystals under plane strain by use of a texture component crystal plasticity finite element method. Scripta Metallurgica 50 (2004) 1085-1090
42. Rashid M. Texture evolution and plastic response of two-dimensional polycrystals. Journal of the Mechanics and Physics of Solids 40 (1992) 1009-1029
43. Sachs G. Zur ableitung einer fliessbedingung. Zeitschrift Verein Deutsche Ingenieure 72 (1928) 734-736
44. Sarma G.B., and Dawson P.R. Effects of interactions among crystals on the inhomogeneous deformations of polycrystals. Acta Metallurgica et Materialia 44 (1996) 1937-1953
45. Strogatz S. From kuramoto to crawford: exploring the onset of synchronization in populations of coupled oscillators. Physica D. Nonlinear Phenomena 143 (2000) 20
46. Szeri A., and Leal L.G. Microstructure suspended in three-dimensional flows. Journal of Fluid Mechanics 250 (1993) 143-167
47. Taylor G. Plastic strains in metals. Journal of the Institute of Metals 62 (1938) 307-324
48. Tiem S., Berveiller M., and Canova G. Grain shape effects on the slip system activity and on the lattice rotations. Acta Metallurgica 34 (1986) 2139-2149
49. Tonks M., Beaudoin A., Schilder F., and Tortorelli D. Investigation of preferred orientations in planar polycrystals. Journal of Applied Mechanics 75 (2008) 051001-051010
50. Tóth L., and Jonas J. Analytic prediction of texture and length changes during free-end torsion. Textures and Microstructures 10 (1998) 195-209
51. Tóth L., Gilormini P., and Jonas J. Effect of rate sensitivity on the stability of torsion textures. Acta Metallurgica 36 (1988) 3077-3091
52. Tóth L., Neale K., and Jonas J. Stress response and persistence characteristics of the ideal orientations of shear textures. Acta Metallurgica 37 (1989) 2197-2210
53. Tóth L., Jonas J., Gilormini P., and Bacroix B. Length changes during free end torsion: a rate sensitive analysis. International Journal of Plasticity 6 (1990) 83-108
54. Wierzbanowski K., and Clément A. Rotation field and continuity equation for texture evolution. Crystal Research and Technology 19 (1984) 201-212
55. Wiggins S. Introduction to Applied Nonlinear Dynamical Systems and Chaos (1990), Springer, New York
56. Zhang Y., and Jenkins J. The evolution of the anisotropy of a polycrystalline aggregate. Journal of the Mechanics and Physics of Solids 41 (1993) 1213-1243
57. Zhou Y., Tóth L., and Neale K. On the stability of the ideal orientations of rolling textures for fcc polycrystals. Acta Metallurgica 40 (1992) 3179-3193