Multiscale crystal plasticity modeling based on geometrically necessary crystal defects and simulation on fine-graining for polycrystal

International Journal of Plasticity

Volumn 23, Issue 6, 2007, Pages 1022-1040

  Aoyagi, Y ^a   Shizawa, K ^a  

^a KEIO UNIVERSITY   (Japan)

Author keywords

A. Dislocations; B. Crystal plasticity; B. Finite strain; B. Polycrystalline material; Geometrically necessary dislocation

Indexed keywords

COMPUTER SIMULATION; CRYSTAL DEFECTS; DISLOCATIONS (CRYSTALS); FINITE ELEMENT METHOD; PLASTIC DEFORMATION; PLASTICITY; POLYCRYSTALLINE MATERIALS; POLYCRYSTALS; STRAIN MEASUREMENT;

CRYSTAL PLASTICITY; FINITE STRAINS; GEOMETRICALLY NECESSARY DISLOCATION;

SINGLE CRYSTALS;

EID: 33847642581     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2006.10.009     Document Type: Article

References (37)

1. Adams B.L., Wright S.I., and Kunze K. Orientation imaging: the emergence of a new microscopy. Metall. Trans. A 24 (1993) 819-831
2. Ashby M.F. The deformation of plastically non-homogeneous materials. Philos. Mag. 21 (1970) 399-424
3. Busso E.P., and Cheong K.S. Length scale effects on the macroscopic behaviour of single and polycrystalline FCC crystals. J. Phys. IV France 11 (2001) Pr5-161-170
4. Busso E.P., Meissonnier F.T., and O'Dowd N.P. Gradient-dependent deformation of two-phase single crystals. J. Mech. Phys. Solids 48 11 (2000) 2333-2361
5. Cheong K.S., Busso E.P., and Arsenlis A. A study of microstructural length scale effects on the behaviour of FCC polycrystals using strain gradient concepts. Int. J. Plast. 21 9 (2005) 1797-1814
6. Cho J.Y., Inoue T., Yin F., and Nagai K. Effect of initial grain orientation on evolution of deformed microstructure in hot compressed Ni-30Fe alloy. Mater. Trans. 45 10 (2004) 2960-2965
7. Clayton J.D., and McDowell D.L. A multiscale multiplicative decomposition for elastoplasticity of polycrystals. Int. J. Plast. 19 9 (2003) 1401-1444
8. Clayton J.D., McDowell D.L., and Bammann D.J. Modeling dislocations and disclinations with finite micropolar elastoplasticity. Int. J. Plast. 22 2 (2006) 210-256
9. Delaire F., Raphanel J.L., and Rey C. Plastic heterogeneities of a copper multicrystal deformed in uniaxial tension: experimental study and finite element simulations. Acta Mater. 48 (2000) 1075-1087
10. Erieau P., and Rey C. Modeling of deformation and rotation bands and of deformation induced grain boundaries in IF steel aggregate during large plane strain compression. Int. J. Plast. 20 10 (2004) 1763-1788
11. Essmann U., and Mughrabi H. Annihilation of dislocations during tensile and cyclic deformation and limits of dislocation densities. Philos. Mag. A 40 (1979) 731-756
12. Estrin Y., Braasch H., and Brechet Y. A dislocation density based constitutive model for cyclic deformation. Trans. ASME J. Eng. Mater. Technol. 118 4 (1996) 441-447
13. Fleck N.A., Muller G.M., Ashby M.F., and Hutchinson J.W. Strain gradient plasticity theory and experiment. Acta Metall. Mater. 42 2 (1994) 475-487
14. Forest S., and Sedláček R. Plastic slip distribution in two-phase laminate microstructures: dislocation-based versus generalized-continuum approaches. Philos. Mag. 83 2 (2003) 245-276
15. Gurtin M.E. On the plasticity of single crystals: free energy, microforces, plastic-strain gradients. J. Mech. Phys. Solids 48 (2000) 989-1036
16. Kameda T., and Zikry M.A. Three dimensional dislocation-based crystalline constitutive formulation for ordered intermetallics. Scr. Mater. 38 4 (1998) 631-636
17. Kim H.-W., Kang S.-B., Tsuji N., and Minamino Y. Elongation increase in ultra-fine grained Al-Fe-Si alloy sheets. Acta Mater. 53 6 (2005) 1737-1749
18. Kohda S. Introduction to Metal Physics (1973), Corona Publishing Co. p. 164 (in Japanese)
19. Kondo, K., 1955, 1958, 1962, 1968. In: RAAG Memoirs of the Unifying Study of Basic Problems in Engineering and Physical Sciences by Means of Geometry, I-IV. Gakujutsubunken-Fukyukai.
20. Kröner E. Kontinuumstheorie der Versetzungen und Eigenspannungen (1958), Springer-Verlag
21. Kuhlmann-Wilsdorf D. Theory of plastic deformation: properties of low energy dislocation structures. Mater. Sci. Eng. A 113 (1989) 1-41
22. Mueller J., Durst K., Amberger D., and Göken M. Local investigations of the mechanical properties of ultrafine grained metals by nanoindentations. In: Horita Z. (Ed). Proceedings of the 3rd International Conference on Nanomaterials by Severe Plastic Deformation (2005), Trans Tech Publications, Fukuoka 31-36
23. Ohashi T. Numerical modeling of plastic multislip in metal crystals of f.c.c. type. Philos. Mag. A 70 5 (1994) 793-803
24. Ohashi T. Finite-element analysis of plastic slip and evolution of geometrically necessary dislocations in fcc crystals. Philos. Mag. Lett. 75 2 (1997) 51-57
25. Ohashi T. Evaluation and visualization of geometrically necessary dislocations in metal microstructures by means of continuum mechanics analysis. J. Phys. IV France 9 (1999) Pr9-279-284
26. Ohashi T. Three dimensional structures of the geometrically necessary dislocations in matrix-inclusion systems under uniaxial tensile loading. Int. J. Plast. 20 6 (2004) 1093-1109
27. Ohashi T. Crystal plasticity analysis of dislocation emission from micro voids. Int. J. Plast. 21 11 (2005) 2071-2088
28. Pan J., and Rice J.R. Rate sensitivity of plastic flow and implications for yield-surface vertices. Int. J. Solids Struct. 19 11 (1983) 973-987
29. Peirce D., Asaro R.J., and Needleman A. Material rate dependence and localized deformation in crystalline solids. Acta Metal. 31 12 (1983) 1951-1976
30. Peirce D., Shih C.F., and Needleman A. A tangent modulus method for rate dependent solids. Compos. Struct. 18 5 (1984) 875-887
31. Shizawa K., and Zbib H.M. A thermodynamical theory of plasticity with dislocation density tensor: I-Fundamentals. Int. J. Plast. 15 9 (1999) 899-938
32. Teodosiu C. A dynamic theory of dislocations and its applications to the theory of the elastic-plastic continuum. Fundam. Aspects Dislocation Theory 317-II (1970) 837-876
33. Teodosiu C. Dislocation modeling of crystalline plasticity. Large Plastic Deformation of Crystalline Aggregates (1997), Springer-Verlag 21-80
34. Weertman J. Anomalous work hardening, non-redundant screw dislocations in a circular bar deformed in torsion, and non-redundant edge dislocations in a bent foil. Acta Mater. 50 (2002) 673-689
35. Zhou D., Moosbrugger J.C., and Morrison D.J. A substructure mixtures model for the cyclic plasticity of single slip oriented nickel single crystal at low plastic strain amplitudes. Int. J. Plast. 21 12 (2005) 2344-2368
36. Zhou D., Moosbrugger J.C., and Morrison D.J. Finite element simulation of PSB macroband nucleation and propagation in single crystal nickel cycled at low plastic strain amplitudes. Int. J. Plast. 22 7 (2006) 1336-1366
37. Zikry M.A., and Kao M. Inelastic microstructural failure mechanisms in crystalline materials with high angle grain boundaries. J. Mech. Phys. Solids 44 11 (1996) 1765-1798