Plasticity size effects in voided crystals

Journal of the Mechanics and Physics of Solids

Volumn 56, Issue 1, 2008, Pages 114-131

  Hussein, M I ^a   Borg, U ^b   Niordson, C F ^b   Deshpande, V S ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Computer simulation; Dislocations; Plasticity; Size effects; Voids

Indexed keywords

COMPUTER SIMULATION; DISLOCATIONS (CRYSTALS); NUCLEATION; PLASTICITY; STRAIN; VOLUME FRACTION;

BIAXIAL LOADING; CONTINUUM STRAIN GRADIENT; LATTICE RESISTANCE; SHEAR LOADING; SIZE EFFECTS;

SINGLE CRYSTALS;

EID: 37849008000     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2007.05.004     Document Type: Article

References (28)

1. Ashby M.F. The deformation of plastically non-homogeneous materials. Philos. Mag. 21 (1970) 399-424
2. Begley M.R., and Hutchinson J.W. The mechanics of size-dependent indentation. J. Mech. Phys. Solids 46 (1998) 2049-2068
3. Borg U. Strain gradient crystal plasticity effects on flow localization. Int. J. Plasticity 23 8 (2007) 1400-1416
4. De Guzman, M.S., Neubauer, G., Flinn, P., Nix, W.D., 1993. The role of indentation depth on the measured hardness of materials. Materials Research Society Symposium Proceedings, vol. 308, pp. 613-618.
5. Fleck N.A., and Hutchinson J.W. Strain gradient plasticity. In: Hutchinson J.W., and Wu T.Y. (Eds). Advances in Applied Mechanics vol. 33 (1997), Academic Press, New York 295-361
6. Fleck N.A., and Hutchinson J.W. A reformulation of strain gradient plasticity. J. Mech. Phys. Solids 49 (2001) 2245-2271
7. Fleck N.A., Muller G.M., Ashby M.F., and Hutchinson J.W. Strain gradient plasticity: theory and experiment. Acta Metall. Mater. 42 (1994) 475-487
8. Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth: part I. Yield criteria and flow rules for porous ductile media. J. Eng. Mater. Technol. 99 (1977) 2-15
9. Gurtin M.E. A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations. J. Mech. Phys. Solids 50 (2002) 5-32
10. Han C.-S., Gao H., Huang Y., and Nix W.D. Mechanism-based strain gradient crystal plasticity-I. Theory. J. Mech. Phys. Solids 53 (2005) 1188-1203
11. Hirth J.P., and Lothe J. Theory of Dislocations (1968), McGraw-Hill, New York
12. Khraishi T.A., Khaleel M.A., and Zbib H.M. A parametric-experimental study of void growth in superplastic deformation. Int. J. Plasticity 17 (2001) 297-315
13. Kubin L.P., Canova G., Condat M., Devincre B., Pontikis V., and Bréchet Y. Dislocation microstructures and plastic flow: a 3D simulation. Solid State Phenom. 23-24 (1992) 455-472
14. Liu B., Qiu X., Huang Y., Hwang K.C., Li M., and Liu C. The size effect on void growth in ductile materials. J. Mech. Phys. Solids 51 (2003) 1171-1187
15. Ma Q., and Clarke D.R. Size dependent hardness of silver single crystals. J. Mater. Res. 10 (1995) 853-863
16. McClintock F.A. A criterion for ductile fracture by growth of holes. J. Appl. Mech. 35 (1968) 363-371
17. Needleman A. Void growth in an elastic-plastic medium. J. Appl. Mech. 41 (1972) 964-970
18. Needleman A., Van der Giessen E., and Deshpande V.S. Statistical aspects of discrete dislocation plasticity. Scr. Mater. 54 (2006) 729-733
19. Nye J.F. Some geometrical relations in dislocated crystals. Acta Metall. 1 (1953) 153-162
20. Potirniche G.P., Horstemeyer M.F., Wagner G.J., and Gullett P.M. A molecular dynamics study of void growth and coalescence in single crystal nickel. Int. J. Plasticity 22 (2006) 257-278
21. Rice J.R., and Tracey D.M. On the ductile enlargement of voids in triaxial stress fields. J. Mech. Phys. Solids 17 (1969) 201-217
22. Schlueter N., Grimpe F., Bleck W., and Dahl W. Modeling of the damage in ductile steels. Comput. Mater. Sci. 7 (1996) 27-33
23. Shu J.Y., Fleck N.A., Van der Giessen E., and Needleman A. Boundary layers in constrained plastic flow: comparison of nonlocal and discrete dislocation plasticity. J. Mech. Phys. Solids 49 (2001) 1361-1395
24. Taylor G.I. The mechanism of plastic deformation of crystals. Part I. Theoretical. Proc. R. Soc. London A145 (1934) 362-387
25. Tvergaard V. Influence of voids on shear band instabilities under plane strain conditions. Int. J. Fract. 17 (1981) 389-407
26. Tvergaard V., and Niordson C.F. Nonlocal plasticity effects on interaction of different size voids. Int. J. Plasticity 20 (2004) 107-120
27. Van der Giessen E., and Needleman A. Discrete dislocation plasticity: a simple planar model. Modelling Simulation Mater. Sci. Eng. 3 (1995) 689-735
28. Wen J., Huang Y., Hwang K.C., Liu C., and Li M. The modified Gurson model accounting for the void size effect. Int. J. Plasticity 21 (2005) 381-395