Void growth and coalescence in single crystals

International Journal of Solids and Structures

Volumn 47, Issue 7-8, 2010, Pages 1016-1029

  Yerra, S K ^a,b   Tekoglu C ^b   Scheyvaerts, F ^b   Delannay, L ^b   Van Houtte, P ^a   Pardoen, T ^b  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Anisotropic; Damage criteria; Ductile fracture; Porous media; Single crystals; Voids

Indexed keywords

3D FINITE ELEMENT; ANISOTROPIC; ANISOTROPIC DAMAGES; CRYSTAL PLASTICITY; FITTING PARAMETERS; HIGH STRESS; ISOTROPIC PERFECT; LOW STRESS; MACROSCOPIC STRESS; MATRIX; PERIODIC BOUNDARY CONDITIONS; POROUS MEDIA; RELATIVE ERRORS; SPHERICAL VOID; STRESS TRIAXIALITY; UNIT CELLS; VOID COALESCENCE; VOID GROWTH; VOID GROWTH AND COALESCENCE; VOID GROWTH RATE; VOID SHAPE; WORK HARDENING;

ANISOTROPIC MEDIA; ANISOTROPY; COALESCENCE; CRYSTAL ORIENTATION; DUCTILE FRACTURE; PLASTICITY; POROUS MATERIALS; SHEAR STRESS; STRAIN HARDENING; THREE DIMENSIONAL; YIELD STRESS;

SINGLE CRYSTALS;

EID: 76249107661     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2009.12.019     Document Type: Article

References (70)

1. Becker R. The effect of porosity distribution on ductile failure. J. Mech. Phys. Solids 35 (1987) 577-599
2. Becker R., and Smelser R.E. Simulation of strain localization and fracture between holes in an aluminum sheet. J. Mech. Phys. Solids 42 (1994) 773-796
3. Benzerga A.A., and Besson J. Plastic potentials for anisotropic porous solids. Eur. J. Mech. A/Solids 20 (2001) 397-434
4. Benzerga A. Micromechanics of coalescence in ductile fracture. J. Mech. Phys. Solids 50 (2002) 1331-1362
5. Benzerga A.A., Besson J., and Pineau A. Anisotropic ductile fracture. Part I: Experiments. Acta Mater. 52 (2004) 4623-4638
6. Benzerga A.A., Besson J., and Pineau A. Anisotropic ductile fracture. Part II: Theory. Acta Mater. 52 (2004) 4639-4650
7. Besson, J., 2009. Damage of ductile materials deforming under plastic or viscoplastic mechanisms. Int. J. Plasticity. doi: 10.1016/j.ijplas.2009.03.001.
8. Besson, in press. Continuum models of ductile fracture: a review. Int. J. Damage Mech.
9. Borg U., Niordson C.F., and Kysar J.W. Size effects on void growth in single crystals with distributed voids. Int. J. Plasticity 24 (2008) 688-701
10. Brocks W., Sun D.Z., and Hönig A. Verification of the transferability of micromechanical parameters by cell model calculations with viscoplastic materials. Int. J. Plasticity 11 (1995) 971-989
11. Brown, L.M., Embury, J.D., 1973. The initiation and growth of voids at second phase particles. In: Proceedings of the Third International Conference on the Strength of Metals and Alloys, ICSMA 3 Proceedings. Inst. Metals, Cambridge, UK, pp. 164-169.
12. Crépin J., Bretheau T., and Caldemaison D. Cavity growth and rupture of β-treated zirconium: a crystallographic model. Acta Mater. 44 (1996) 4927-4935
13. Delannay L., Béringhier M., Chastel Y., and Logé R.E. Simulation of cup-drawing based on crystal plasticity applied to reduced grain samplings. Mater. Sci. Forum (2005) 1639-1644
14. Delannay L., Jacques P.J., and Kalidindi S.R. Finite element modeling of crystal plasticity with grains shaped as truncated octahedrons. Int. J. Plasticity 22 (2006) 1879-1898
15. Fabrègue D., and Pardoen T. A constitutive model for elastoplastic solids containing primary and secondary voids. J. Mech. Phys. Solids 56 (2008) 719-741
16. Fabrègue D., and Pardoen T. Corrigendum to "A constitutive model for elastoplastic solids containing primary and secondary voids". J. Mech. Phys. Solids 57 (2009) 869-870
17. Farkas D., Van Swygenhoven H., and Derlet P.M. Intergranular fracture in nanocrystalline metals. Phys. Rev. B 66 (2002) 101-104
18. Gan Y.X., Kysar J.W., and Morse T.L. Cylindrical void in a rigid-ideally plastic single crystal. II: Experiments and simulations. Int. J. Plasticity 22 (2006) 39-72
19. Garrison W.M., Wojcieszynski A.L., and Iorio L.E. Effects of inclusion distributions on the fracture toughness of structural steels. In: Mahidhara R.K., et al. (Ed). Recent Advances in Fracture (1997), The Minerals, Metals and Materials Society
20. Gologanu M., Leblond J.B., and Devaux J. Theoretical models for void coalescence in porous ductile solids. II. Coalescence "in columns". Int. J. Solids Struct. 38 (2001) 5595-5604
21. Gologanu M., Leblond J.-B., Perrin G., and Devaux J. Recent extensions of Gurson's model for porous ductile metals. In: Suquet P. (Ed). Continuum Micromechanics. CISM Lectures Series (1997), Springer, New York 1-130
22. Gurson A. 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
23. Hancock J.W., and Mackenzie A.C. On the mechanisms of ductile failure in high-strength steels subjected to multi-axial stress-states. J. Mech. Phys. Solids 24 (1976) 147-169
24. Horstemeyer M.F., and Ramaswamy S. On factors affecting localization and void growth in ductile metals: a parametric study. Int. J. Damage Mech. 9 (2000) 5-28
25. Huber G., Brechet Y., and Pardoen T. Void growth and void nucleation controlled ductility in quasi-eutectic cast aluminium alloys. Acta Mater. 53 (2005) 2739-2749
26. Hussein M.I., Borg U., Niordson C.F., and Deshpande V.S. Plasticity size effects in voided crystals. J. Mech. Phys. Solids 56 (2008) 114-131
27. Hutchinson J.W. Creep and plasticity of hexagonal polycrystals as related to single crystal slip. Metall. Trans. A 8 (1969) 1465-1469
28. Kim J., Gao X.S., and Joshi S. Modeling of void growth in ductile solids: effects of stress triaxiality and porosity. Eng. Fract. Mech. 71 (2004) 379-400
29. Koplik J., and Needleman A. Void growth and coalescence in porous plastic solids. Int. J. Solids Struct. 24 (1988) 835-853
30. Kuna M., and Sun D.Z. Three dimensional cell model analysis of void growth in ductile materials. Int. J. Fract. 81 (1996) 235-258
31. Lassance D., Fabrègue D., Delannay F., and Pardoen T. Micromechanics of room and high temperature fracture in 6xxx Al alloys. Prog. Mater. Sci. 52 (2007) 62-129
32. Lassance D., Scheyvaerts F., and Pardoen T. Growth and coalescence of penny-shaped voids in metallic alloys. Eng. Fract. Mech. 73 (2006) 1009-1034
33. Lenain, A., 2008. Relationships between thermomechanical processing, microstructure and mechanical properties of the β-metastable Ti-LCB alloy. Ph.D. Thesis, Université catholique de Louvain.
34. Liao K.C., Pan J., and Tang S.C. Approximate yield criteria for anisotropic porous ductile sheet metals. Mech. Mater. 26 (1997) 213-226
35. Marini B., Mudry F., and Pineau A. Experimental study of cavity growth in ductile rupture. Eng. Fract. Mech. 6 (1985) 989-996
36. McClintock F.A. A criterion for ductile fracture by the growth of holes. J. Appl. Mech. 35 (1968) 363-371
37. Meyers M., Traiviratana S., Lubarda V.A., Benson D.J., and Bringa E.M. The role of dislocations in the growth of nanosized voids in ductile failure of metals. JOM 61 (2009) 35-41
38. Monchiet V., Cazacu O., Charkaluk E., and Kondo D. Macroscopic yield criteria for plastic anisotropic materials containing spheroidal voids. Int. J. Plasticity 24 (2008) 1158-1189
39. Needleman A. Void growth in an elastic-plastic medium. J. Appl. Mech. 39 (1972) 964-970
40. Nielsen, K.L., Pardoen, T., de Meester, B., Tvergaard, V., Simar, A., submitted for publication. Micro-mechanical modelling of damage in 6005A aluminium based on a physical strain hardening law including stage IV.
41. Niordson C.F. Void growth to coalescence in a non-local material. Eur. J. Mech. A/Solids 27 (2008) 222-233
42. O'Regan T., Quinn D.F., Howe M.A., and McHugh P.E. Void growth simulations in single crystals. Comp. Mech. 20 (1997) 115-121
43. Orsini V.C., and Zikry M.A. Void growth and interaction in crystalline materials. Int. J. Plasticity 17 (2001) 1393-1417
44. Pardoen T. Numerical simulation of low stress triaxiality ductile fracture. Comp. Struct. 84 (2006) 1641-1650
45. Pardoen T., and Delannay F. Assessment of void growth models from porosity measurements in cold drawn copper bars. Metall. Mater. Trans. A 29 (1998) 1895-1909
46. Pardoen T., Doghri I., and Delannay F. Experimental and numerical comparison of void growth models and void coalescence criteria for the prediction of ductile fracture in copper bars. Acta Mater. 46 (1998) 541-552
47. Pardoen T., Hachez F., Marchioni B., Blyth H., and Atkins A.G. Mode I fracture of sheet metal. J. Mech. Phys. Solids 52 (2004) 423-452
48. Pardoen T., and Hutchinson J.W. An extended model for void growth and coalescence. J. Mech. Phys. Solids 48 (2000) 2467-2512
49. Pardoen T., and Hutchinson J. Micromechanics-based model for trends in toughness of ductile metals. Acta Mater. 51 (2003) 133-148
50. Pineau A., and Pardoen T. Failure mechanisms of metals. Comprehensive Structural Integrity Encyclopedia vol. 2 (2007), Elsevier (Chapter 6)
51. Potirniche G.P., Hearndon J.L., Horstemeyer M.F., and Ling X.W. Lattice orientation effects on void growth and coalescence in fcc single crystals. Int. J. Plasticity 22 (2006) 921-942
52. 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
53. Rice J.R., and Tracey D.M. On the ductile enlargement of voids in triaxial stress. J. Mech. Phys. Solids 17 (1969) 201-217
54. Schacht T., Untermann N., and Steck E. The influence of crystallographic orientation on the deformation behaviour of single crystals containing microvoids. Int. J. Plasticity 19 (2003) 1605-1626
55. Scheyvaerts, F., Onck, P., Pardoen, T., in press. A new model for void coalescence by internal necking. Int. J. Damage Mech.
56. Scheyvaerts, F., Onck, P., Pardoen, T., submitted for publication. The growth and coalescence of spheroidal voids in plane strain under combined shear and tension.
57. Segurado J., and Llorca J. An analysis of the size effect on void growth in single crystals using discrete dislocation dynamics. Acta Mater. 57 (2009) 1427-1436
58. Shu J.Y. Scale dependent deformation of porous single crystals. Int. J. Plasticity 14 (1998) 1085-1107
59. Sovik O.P., and Thaulow C. Growth of spherical voids in elastic-plastic solids. Fatigue Fract. Eng. Mater. Struct. 20 (1997) 1731-1744
60. Tekog̃lu, C., Pardoen, T., in press. A micromechanics based damage model combining homogenization and Gurson theories. Int. J. Plasticity. doi:10.1016/j.ijplas.2009.09.002.
61. Thomason P.F. Ductile Fracture of Metals (1990), Pergamon, Oxford
62. Thomson C.I.A., Worswick M.J., Pilkey A.K., and Lloyd D.J. Void coalescence within periodic clusters of particles. J. Mech. Phys. Solids 51 (2003) 127-146
63. Traiviratana S., Bringa E.M., Benson D.J., and Meyers M.A. Void growth in metals: atomistic calculations. Acta Mater. 56 (2008) 3874-3886
64. Tvergaard V. On localization in ductile materials containing voids. Int. J. Fract. 18 (1982) 237-251
65. Tvergaard V. Material failure by void growth to coalescence. Adv. Appl. Mech. 27 (1990) 83-151
66. Tvergaard V., and Needleman A. Analysis of the cup and cone fracture in a round tensile bar. Acta Metall. 32 (1984) 157-169
67. Van Houtte P. A comprehensive mathematical formulation of an extended Taylor-Bishop-Hill model featuring relaxed constraints, the Renouard-Wintenberger theory an a strain rate sensitivity model. Texture. Microstruct. (1988) 313-350
68. Worswick M., and Pick R. Void growth and constitutive softening in a periodically voided solid. J. Mech. Phys. Solids 38 (1990) 601-625
69. Xu W., Ferry M., and Humphreys F.J. Spatial morphology of interfacial voids and other features generated at coarse silica particles in nickel during cold rolling and annealing. Scr. Mater. 60 (2009) 862-865
70. Yerra, S.K., 2010. Ductile damage in single crystals and anisotropic polycrystals. Ph.D. Thesis, KULeuven, Belgium.