Discrete dislocation plasticity analysis of the grain size dependence of the flow strength of polycrystals

International Journal of Plasticity

Volumn 24, Issue 12, 2008, Pages 2149-2172

  Balint, D S ^a   Deshpande, V S ^a   Needleman, A ^b   Van der Giessen, E ^c  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b BROWN UNIVERSITY   (United States)

^c UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

Discrete dislocations; Mechanical properties; Plasticity; Polycrystals; Size effects

Indexed keywords

ABS RESINS; CRYSTAL GROWTH; CRYSTALS; ELASTICITY; GRAIN BOUNDARIES; PLASTICITY; PLASTICS; POLYCRYSTALS;

DISCRETE DISLOCATIONS; FLOW STRENGTH; MECHANICAL PROPERTIES; SIZE EFFECTS;

GRAIN (AGRICULTURAL PRODUCT);

EID: 51349129588     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2007.08.005     Document Type: Article

References (35)

1. Armstrong R.W., Codd I., Douthwaite R.M., and Petch N.J. The plastic deformation of polycrystalline aggregates. Philosophical Magazine 7 (1962) 45-58
2. Artz E. Size effects in materials due to microstructural and dimensional constraints: a comparative review. Acta Materialia 46 (1998) 5611-5626
3. Ashby M.F. The deformation of plastically non-homogeneous materials. Philosophical Magazine 21 (1970) 399-424
4. Balint D.S., Deshpande V.S., Needleman A., and Van der Giessen E. Discrete dislocation plasticity analysis of crack-tip fields in polycrystalline materials. Philosophical Magazine 85 (2005) 3047-3071
5. Balint D.S., Deshpande V.S., Needleman A., and Van der Giessen E. A discrete dislocation plasticity analysis of grain-size strengthening. Materials Science and Engineering A (2005) 186-190
6. Balint D.S., Deshpande V.S., Needleman A., and Van der Giessen E. Size effects in uniaxial deformation of single and polycrystals: a discrete dislocation plasticity analysis. Modelling and Simulation in Materials Science and Engineering 14 (2006) 409-422
7. Benzerga A.A., Bréchet Y., Needleman A., and Van der Giessen E. Incorporating three-dimensional mechanisms into two-dimensional dislocation dynamics. Modelling and Simulation in Materials Science and Engineering 12 (2004) 159-196
8. Biner S.B., and Morris J.R. A two-dimensional discrete dislocation simulation of the effect of grain size on strengthening behaviour. Modelling and Simulation and Materials Science and Engineering 10 (2002) 617-635
9. Biner S.B., and Morris J.R. The effects of grain size and dislocation source density on the strengthening behaviour of polycrystals: a two-dimensional discrete dislocation simulation. Philosophical Magazine 83 (2003) 3677-3690
10. Chng A.C., O'Day M.P., Curtin W.A., Tay A.A.O., and Lim K.M. Fracture in confined thin films: a discrete dislocation study. Acta Materialia 54 (2006) 1017-1027
11. Chokshi A.H., Rosen H., Karch J., and Gleiter H. On the validity of the Hall-Petch relationship in nanocrystalline materials. Scripta Metallurgica 23 (1989) 1679-1683
12. Deshpande V.S., Needleman A., and Van der Giessen E. Plasticity size effects in tension and compression of single crystals. Journal of the Mechanics and Physics of Solids 53 (2006) 2661-2691
13. Devincre B., and Kubin L.P. Simulations of forest interactions and strainhardening in fcc crystals. Modelling and Simulation in Materials Science and Engineering 2 (1994) 559-570
14. Embury J.D. Strengthening by dislocation substructures. In: Kell A. (Ed). Strengthening Methods in Crystals (1971), Applied Sciences Publishers Ltd., Barking, UK 331-402
15. Eshelby J.D., Frank F.C., and Nabarro F.R.N. The equilibrium of linear arrays of dislocations. Philosophical Magazine 42 (1951) 351-364
16. Gómez-Garcia D., Devincre B., and Kubin L. Dislocation patterns and the simultude principle: 2.5d mesoscale simulations. Physical Review Letters 96 (2006) 125503
17. Gurtin M.E. A gradient theory of single-crystal plasticity that accounts for geometrically necessary dislocations. Journal of the Mechanics and Physics of Solids 50 (2002) 5-32
18. Hall E.O. The deformation and ageing of mild steel: III. Discussion of results. Proceedings of the Physical Society B64 (1951) 747-753
19. Hansen N. Hall-Petch relation and boundary strengthening. Scripta Materialia 51 (2004) 801-806
20. Hirth J.P. Influence of grain boundaries on mechanical properties. Metallurgical Transactions 3 (1972) 3047-3067
21. Hirth J.P., and Lothe J. Theory of Dislocations (1968), McGraw-Hill, New York
22. Kumar K.S., Van Swygenhoven H., and Suresh S. Mechanical behavior of nanocrystalline metals and alloys. Acta Materialia 51 (2003) 5743-5774
23. Lefebvre S., Devincre B., and Hoc T. Yield stress strengthening in ultrafine-grained metals: a two-dimensional simulation of dislocation dynamics. Journal of the Mechanics and Physics of Solids 55 (2007) 788-802
24. Li J.C.M., and Chou Y.T. The role of dislocations in the flow stress grain size relationships. Metallurgical Transactions 1 (1970) 1145-1159
25. Nicola L., Xiang Y., Vlassak J.J., Van der Giessen E., and Needleman A. Plastic deformation of freestanding thin films: Experiments and modeling. Journal of the Mechanics and Physics of Solids 54 (2006) 2089-2110
26. Ohno N., and Okumura D. Higher-order stress and grain size effects due to self-energy of geometrically necessary dislocations. Journal of the Mechanics and Physics of Solids 55 (2007) 1879-1898
27. Petch N.J. The cleavage strength of polycrystals. Journal of the Iron and Steel Institute 174 (1953) 25-28
28. Rice J.R. Tensile crack tip fields in elastic ideally plastic crystals. Mechanics of Materials 6 (1987) 317-335
29. Saada G. From the single crystal to the nanocrystal. Philosophical Magazine 85 (2005) 3003-3018
30. Schwarz K.W. Simulation of dislocations on the mesoscopic scale. I. Methods and examples. Journal of Applied Physics 85 (1999) 108-119
31. Sinclair C.W., Poole W.J., and Bréchet Y. A model for the grain size dependent work hardening of copper. Scripta Materialia 55 (2006) 739-742
32. Van der Giessen E., and Needleman A. Discrete dislocation plasticity: a simple planar model. Modelling and Simulation in Materials Science and Engineering 3 (1995) 689-735
33. Van Swygenhoven H., Spaczer M., and Caro A. Microscopic description of plasticity in computer generated metallic nanophase samples: a comparison between Cu and Ni. Acta Materialia 47 (1999) 3117-3126
34. Yamakov V., Wolf D., Phillpot S.R., Mukherjee A.K., and Gleiter H. Deformation-mechanism map for nanocrystalline metals by molecular-dynamics simulation. Nat Mater 3 (2004) 43-47
35. Zbib H.M., de la Rubia T.D., Rhee M., and Hirth J.P. 3d dislocation dynamics: stress-strain behavior and hardening mechanisms in fcc and bcc metals. J Nucl Mater 276 (2000) 154-165