Void growth to coalescence in a non-local material

European Journal of Mechanics, A/Solids

Volumn 27, Issue 2, 2008, Pages 222-233

  Niordson, Christian F ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Coalescence; Non local plasticity; Size effects; Void growth

Indexed keywords

CRACK TIPS; FINITE DIFFERENCE METHOD; FRACTURE TOUGHNESS; PLASTICITY; VOLUME FRACTION;

DUCTILE MATERIALS; HYDROSTATIC LOADING; NON-LOCAL PLASTICITY; SIZE EFFECTS; VOID GROWTH;

COALESCENCE;

EID: 38849206812     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2007.07.001     Document Type: Article

References (46)

1. Acharya A., and Bassani J.L. On non-local flow theories that preserve the classical structure of incremental boundary value problems. In: Pineau A., and Zaoui A. (Eds). IUTAM Symposium on Micromechanics of Plasticity and Damage of Multiphase Materials (1996), Kluwer Academic Publishers 3-9
2. Aifantis E.C. On the microstructural origin of certain inelastic models. Transactions of the ASME. Journal of Engineering Materials and Technology 106 4 (1984) 326-330
3. Ashby M.F. The deformation of plastically non-homogeneous materials. Philosophical Magazine 21 (1970) 399-424
4. Bittencourt E., Needleman A., Gurtin M.E., and Van der Giessen E. The deformation of plastically non-homogeneous materials. Journal of the Mechanics and Physics of Solids 51 (2003) 281-310
5. de Borst R., and Mühlhaus H.-B. Gradient-dependent plasticity: Formulation and algorithmic aspects. International Journal for Numerical Methods in Engineering 35 (1992) 521-539
6. de Borst R., and Pamin J. Some novel developments in finite element procedures for gradient-dependent plasticity. International Journal for Numerical Methods in Engineering 39 (1996) 2477-2505
7. 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 295-361
8. Fleck N.A., and Hutchinson J.W. A reformulation of strain gradient plasticity. Journal of the Mechanics and Physics of Solids 49 (2001) 2245-2271
9. Fleck N.A., Muller G.M., Ashby M.F., and Hutchinson J.W. Strain Gradient Plasticity: Theory and Experiment. Acta Metallurgica et Materialia 42 2 (1994) 475-487
10. Gao H., Huang Y., Nix W.D., and Hutchinson J.W. Mechanism-based strain gradient plasticity - I. Analysis. Journal of the Mechanics and Physics of Solids 47 (1999) 1239-1263
11. Gologanu M., Leblond J.-B., and Devaux J. Approximate models for ductile metals containing non-spherical voids - case of axisymmetric prolate ellipsoidal cavities. Journal of the Mechanics and Physics of Solids 41 (1993) 1723-1754
12. Gologanu M., Leblond J.-B., and Devaux J. Approximate models for ductile metals containing non-spherical voids - case of axisymmetric prolate ellipsoidal cavities. Journal of Engineering Materials and Technology 116 (1994) 290-297
13. Gudmundson P. A unified treatment of strain gradient plasticity. Journal of the Mechanics and Physics of Solids 52 6 (2004) 1379-1406
14. Gurson A. Continuum theory of ductile rupture by void nucleation and growth: Part I. Yield criteria and flow rules for porous ductile media. Journal of Engineering Materials and Technology 99 (1977) 2-15
15. Gurtin M.E. A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations. Journal of the Mechanics and Physics of Solids 50 (2002) 5-32
16. Haque M.A., and Saif M.T.A. Strain gradient effect in nanoscale thin films. Acta Materialia 51 11 (2003) 3053-3061
17. Huang Y., Gao H., Nix W.D., and Hutchinson J.W. Mechanism-based strain gradient plasticity - II. analysis. Journal of the Mechanics and Physics of Solids 48 (2000) 99-128
18. Huang Y., Qu S., Hwang K.C., Li M., and Gao H. A conventional theory of mechanism-based strain gradient plasticity. International Journal of Plasticity 20 (2004) 753-782
19. Johnson K. The correlation of indentation experiments. Journal of the Mechanics and Physics of Solids 18 (1970) 115-126
20. Koplik J., and Needleman A. Void growth and coalescence in porous plastic solids. International Journal of Solids and Structures 24 (1988) 835-853
21. Kysar J.W., Gan Y.X., Yong X., and Mendez-Arzuza G. Cylindrical void in a rigid-ideally plastic single crystal. Part I: Anisotropic slip line theory solution for face-centered cubic crystals. International Journal of Plasticity 21 (2005) 1481-1520
22. Leblond J., Perrin G., and Devaux J. Bifurcation effects in ductile metals with damage delocalization. Journal of Applied Mechanics 61 (1994) 236-242
23. Liu B., Huang Y., Li M., Hwang K.C., and Liu C. A study of the void size effect based on the Taylor dislocation model. International Journal of Plasticity 21 (2005) 2107-2122
24. Liu B., Qiu X., Huang Y., Hwang K.C., Li M., and Liu C. The size effect on void growth in ductile materials. Journal of the Mechanics and Physics of Solids 51 (2003) 1171-1187
25. Lloyd D.J. Particle reinforced aluminium and magnesium matrix composites. International Materials Review 39 1 (1994) 1-23
26. Ma Q., and Clarke D.R. Size dependent hardness of silver single crystals. Journal of Materials Research 10 (1995) 853-863
27. Marsh D.M. Plastic flow in glass. Proceedings of the Royal Society of London. Series A 279 (1964) 420-435
28. McElwain D.L.S., Roberts A.P., and Wilkins A.H. Yield criterion of porous materials subjected to complex stress states. Acta Materialia 54 (2006) 1995-2002
29. Needleman A. Void growth in and elastic-plastic medium. Journal of Applied Mechanics 39 (1972) 970-974
30. Niordson C.F. Strain gradient plasticity effects in whisker-reinforced metals. Journal of the Mechanics and Physics of Solids 51 (2003) 1863-1883
31. Niordson C.F., and Hutchinson J.W. Non-uniform plastic deformation of micron scale objects. International Journal for Numerical Methods in Engineering 56 (2003) 961-975
32. Niordson C.F., and Redanz R. Size-effects in plane strain sheet-necking. Journal of the Mechanics and Physics of Solids 52 (2004) 2431-2454
33. Niordson C.F., and Tvergaard V. Instabilities in power law gradient hardening materials. International Journal of Solids and Structures 42 (2005) 2559-2573
34. Niordson C.F., and Tvergaard V. Size-effects on cavitation instabilities. Journal of Applied Mechanics 73 (2006) 246-253
35. Niordson C.F., and Tvergaard V. Size-effects in porous metals. Modelling and Simulation in Materials Science and Engineering 15 (2007) S51-S60
36. Pardoen T., and Hutchinson J.W. An extended model for void growth and coalescence. Journal of the Mechanics and Physics of Solids 48 (2000) 2467-2512
37. Rice J.R., and Tracey D.M. On the ductile enlargement of voids in triaxial stress fields. Journal of the Mechanics and Physics of Solids 17 (1969) 201-217
38. Stelmashenko N.A., Walls M.G., Brown L.M., and Milman Y.V. Microindentations on W and Mo oriented single crystals: An SEM study. Acta Metallurgica et Materialia 41 10 (1993) 2855-2865
39. Stölken J.S., and Evans A.G. A microbend test method for measuring the plasticity length scale. Acta Materialia 46 14 (1998) 5109-5115
40. Swadener J.G., George E.P., and Pharr G.M. The correlation of the indentation size effect measured with indenters of various shapes. Journal of the Mechanics and Physics of Solids 50 (2002) 681-694
41. Tvergaard V. On localization in ductile materials containing spherical voids. International Journal of Fracture 18 4 (1982) 237-252
42. Tvergaard V. Material failure by void growth to coalescence. In: Hutchinson J.W., and Wu T.Y. (Eds). Advances in Applied Mechanics vol. 27 (1990), Academic Press 83-151
43. Tvergaard V., and Needleman A. Nonlocal effects on localization in a void-sheet. International Journal of Solids and Structures 34 (1997) 2221-2238
44. Tvergaard V., and Niordson C.F. Nonlocal plasticity effects on interaction of different size voids. International Journal of Plasticity 20 (2004) 107-120
45. Wei Y., and Hutchinson J.W. Hardness trends in micron scale indentation. Journal of the Mechanics and Physics of Solids 51 (2003) 2037-2056
46. Wen J., Huang Y., Hwang K.C., Liu C., and Li M. The modified Gurson model accounting for the void size effect. International Journal of Plasticity 21 (2005) 381-395