Multiple slip in a strain-gradient plasticity model motivated by a statistical-mechanics description of dislocations

International Journal of Solids and Structures

Volumn 42, Issue 11-12, 2005, Pages 3375-3394

  Yefimov, S ^a   Van Der Giessen, E ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

Constitutive behavior; Crystal plasticity; Dislocations; Finite elements

Indexed keywords

ANISOTROPY; BENDING MOMENTS; BOUNDARY CONDITIONS; BOUNDARY LAYERS; BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; CONTINUUM MECHANICS; DISLOCATIONS (CRYSTALS); FINITE ELEMENT METHOD; MATHEMATICAL MODELS; NUCLEATION; PLASTIC FLOW; PLASTICITY; RIGIDITY; ROTATION; SINGLE CRYSTALS;

CONSTITUTIVE BEHAVIOR; CRYSTAL PLASTICITY; FINITE ELEMENTS; MATERIAL RESISTANCE;

CRYSTALLINE MATERIALS;

EID: 13444266322     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2004.10.025     Document Type: Article

References (21)

1. R.J. Asaro Micromechanics of crystals and polycrystals Adv. Appl. Mech. 23 1983 1
2. M.F. Ashby The deformation of plastically non-homogeneous materials Phil. Mag. 21 1970 399
3. J.L. Bassani, A. Needleman, and E. Van der Giessen Plastic flow in a composite: a comparison of nonlocal continuum and discrete dislocation predictions Int. J. Solids Struct. 38 2001 833 853
4. E. Bittencourt, A. Needleman, M.E. Gurtin, and E. Van der Giessen A comparison of nonlocal continuum and discrete dislocation plasticity predictions J. Mech. Phys. Solids 51 2003 281 310
5. H.H.M. Cleveringa, E. Van der Giessen, and A. Needleman A discrete dislocation analysis of bending Int. J. Plast. 15 1999 837 868
6. N.A. Fleck, and J.W. Hutchinson Strain gradient plasticity Adv. Appl. Mech. 33 1997 295 361
7. N.A. Fleck, G.M. Muller, F. Ashby, and J.W. Hutchinson Strain gradient plasticity: theory and experiment Acta Metall. Mater. 42 1994 475 487
8. H. Gao, Y. Huang, W.D. Nix, and J.W. Hutchinson Mechanism-based strain gradient plasticity-I Theory. J. Mech. Phys. Solids 47 1999 1239 1263
9. I. Groma Link between the microscopic and mesoscopic length-scale description of the collective behaviour of dislocations Phys. Rev. B 56 1997 5807 5813
10. M.E. Gurtin A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations J. Mech. Phys. Solids 50 2002 5 32
11. J. Harder A crystallographic model for the study of local deformation processes in polycrystals Int. J. Plast. 15 1999 605 624
12. J.W. Hutchinson Plasticity at the micron scale Int. J. Solids Struct. 37 2000 225 238
13. Q. Ma, and D.R. Clarke Size dependent hardness of silver single crystals J. Mater. Res. 10 1995 853 863
14. J.F. Nye Some geometrical relations in dislocated crystals Acta. Metall. 1 1953 153 162
15. J.Y. Shu, and N.A. Fleck Strain gradient crystal plasticity: size-dependent deformation of bicrystals J. Mech. Phys. Solids 47 1999 297 324
16. J.Y. Shu, N.A. Fleck, E. Van der Giessen, and A. Needleman Boundary layers in constrained plastic flow: Comparison of nonlocal and discrete dislocation plasticity J. Mech. Phys. Solids 49 2001 1361 1395
17. J.S. Stölken, and A.G. Evans A microbend test method for measuring the plasticity length scale Acta Mater. 46 1998 5109 5115
18. E. Van der Giessen, and A. Needleman Discrete dislocation plasticity: a simple planar model Model. Simul. Mater. Sci. Eng. 3 1995 689 735
19. S. Yefimov, I. Groma, and E. Van der Giessen A comparison of a statistical-mechanics based plasticity model with discrete dislocation plasticity calculations J. Mech. Phys. Solids 52 2004 279 300
20. S. Yefimov, I. Groma, and E. Van der Giessen Bending of a single crystal: discrete dislocation and nonlocal crystal plasticity simulations Modelling Simul. Mater. Sci. Eng. 12 2004 1069 1086
21. M. Zaiser, M. Carmen Miguel, and I. Groma Statistical dynamics of dislocation systems: the influence of dislocation-dislocation correlations Phys. Rev. B 64 2001 224102 224111