Corrigendum to "A constitutive model for elastoplastic solids containing primary and secondary voids" [J. Mech. Phys. Solids 56 (2008) 719-741] (DOI:10.1016/j.jmps.2007.07.008);A constitutive model for elastoplastic solids containing primary and secondary voids

Journal of the Mechanics and Physics of Solids

Volumn 56, Issue 3, 2008, Pages 719-741

  Fabregue D ^a   Pardoen, T ^b  

^a UNIVERSITÉ DE LYON   (France)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Constitutive behaviour; Ductility; Elastoplasticity; Fracture mechanisms; Voids and inclusions

Indexed keywords

DAMAGE DETECTION; DUCTILITY; FRACTURE MECHANICS; NUCLEATION; STRAIN RATE;

CONSTITUTIVE BEHAVIOR; ELASTOPLASTIC SOLIDS; NUCLEATION STRAIN; SECONDARY VOIDS;

ELASTOPLASTICITY;

EID: 39049145639     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2009.01.003     Document Type: Erratum

References (54)

1. Abaqus, 2002. Theoretical Manual, version 6.3, Hibbit, Karlsson and Sorensen.
2. Asserin-Lebert A., Besson J., and Gourgues A.-F. Fracture of 6056 aluminum sheet materials: effect of specimen thickness and hardening behavior on strain localization and toughness. Mater. Sci. Eng. A 395 (2005) 186-194
3. Benzerga A.A., Besson J., and Pineau A. Anisotropic ductile fracture-Part I: Experiments. Acta Mater. 52 (2004) 4623-4638
4. Benzerga A.A., Besson J., and Pineau A. Anisotropic ductile fracture-Part II: Theory. Acta Mater. 52 (2004) 4639-4650
5. Beremin F.M. Cavity formation from inclusions in ductile fracture of A508 steel. Metall. Trans. A 12 (1981) 723-731
6. Brocks W., Sun D.Z., and Hönig A. Verification of the transferability of micromechanical parameters by cell model calculations with visco-plastic materials. Int. J. Plasticity 11 (1995) 971-989
7. Chu C.C., and Needleman A. Void nucleation effects in biaxially stretched sheets. J. Eng. Mater. Technol. 102 (1980) 249-256
8. Cox T.B., and Low J.R. An investigation of the plastic fracture of AISI 4340 and 18 nickel-200 grade maraging steels. Metall. Trans. A 5 (1974) 1457-1470
9. Enakousta, K., Leblond, J.B., Audoly, B., 2005. Influence of continuous nucleation of secondary voids upon growth and coalescence of cavities in porous ductile metals. In: Proceedings of the 11th International Conference on Fracture, CD-Rom.
10. Faleskog J., and Shih F.C. Micromechanics of coalescence-I. Synergistic effects of elasticity, plastic yielding and multi-size-scale voids. J. Mech. Phys. Solids 45 (1997) 21-50
11. Fleck N.A., and Hutchinson J.W. Strain gradient plasticity. Adv. Appl. Mech. 33 (1997) 295-361
12. Gallais C., Simar A., Fabrègue D., Denquin A., Lapasset G., De Meester B., Bréchet Y., and Pardoen T. Multiscale analysis of the strength and ductility of friction stir welded 6056 Al joints. Metall. Mater. Trans. A 38 (2007) 964-981
13. Gammage J.J., Wilkinson D.S., Embury J.D., and Maire E. Damage studies in heterogeneous aluminium alloys using X-ray tomography. Philos. Mag. 85 (2005) 3191-3206
14. Gao X., and Kim J. Modelling of ductile fracture: significance of void coalescence. Int. J. Solids Struct. 43 (2006) 6277-6293
15. Gologanu M., Leblond J.B., and Devaux J. Approximate models for ductile metals containing nonspherical voids-case of axisymetric prolate ellipsoidal cavities. J. Mech. Phys. Solids 41 (1993) 1723-1754
16. Gologanu M., Leblond J.B., and Devaux J. Approximate models for ductile metals containing nonspherical voids-case of axisymetric oblate ellipsoidal cavities. J. Eng. Mater. Technol. 116 (1994) 290-297
17. 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 61-130
18. Gullerud A.S., Gao X., Dodds Jr. R.H., and Haj-Ali R. Simulation of ductile crack growth using computational cells: numerical aspects. Eng. Fract. Mech. 66 (2000) 65-92
19. 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
20. Hahn G.T., and Rosenfeld A.R. Metallurgical factors affecting fracture toughness of aluminium alloys. Metall. Trans. 6 (1975) 653-670
21. 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 14 (1977) 147-169
22. Haynes M.J., and Gangloff R.P. Elevated temperature fracture toughness of Al-Cu-Mg-Ag sheet: characterization and modelling. Metall. Mater. Trans. A 28 (1997) 1815-1829
23. Huber G., Bréchet Y., and Pardoen T. Void growth and void nucleation controlled ductility in quasi eutectic cast aluminium alloys. Acta Mater. 53 (2005) 2739-2749
24. Koplik J., and Needleman A. Void growth and coalescence in porous plastic solids. Int. J. Solids Struct. 24 (1988) 835-853
25. Lassance D., Scheyvaerts F., and Pardoen T. Growth and coalescence of penny-shaped voids in metallic alloys. Eng. Fract. Mech. 73 (2006) 1009-1034
26. 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
27. Leblond J.B., Perrin G., and Devaux J. An improved Gurson-type model for hardenable ductile metals. Eur. J. Mech. A/Solids 14 (1995) 499-527
28. Li Z., Wang C., and Chen C. The evolution of voids in the plasticity strain hardening gradient, materials. Int. J. Plasticity 19 (2003) 213-234
29. 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
30. Liu G., Zhang G.J., Ding X.D., Sun J., and Chen K.H. The influence of multiscale-sized second phase particles on ductility of aged aluminium alloys. Metall. Mater. Trans. A 35 (2004) 1725-1734
31. Liu G., Sun J., Nan C.W., and Chen K.H. Experiment and multiscale modeling of the coupled influence of constituents and precipitates on the ductile fracture of heat-treatable aluminium alloys. Acta Mater. 53 (2005) 3459-3468
32. Marini B., Mudry F., and Pineau A. Experimental study of cavity growth in ductile rupture. Eng. Fract. Mech. 22 (1985) 989-996
33. McClintock F.A. A criterion for ductile fracture by the growth of holes. J. Appl. Mech. 35 (1968) 363-371
34. McVeigh C., Vernerey F., Liu W.K., Moran B., and Olson G. An interactive micro-void shear localization mechanism in high strength steels. J. Mech. Phys. Solids 55 (2007) 225-244
35. Needleman A., and Tvergaard V. An analysis of ductile rupture in notched bars. J. Mech. Phys. Solids 32 (1984) 461-490
36. Niordson C.F. Strain gradient plasticity effects in whisker-reinforced metals. J. Mech. Phys. Solids 51 (2003) 1863-1883
37. Pardoen T. Numerical simulation of low stress triaxiality ductile fracture. Comput. Struct. 84 (2006) 1641-1650
38. 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
39. Pardoen T., and Hutchinson J.W. An extended model for void growth and coalescence. J. Mech. Phys. Solids 48 (2000) 2467-2512
40. Pardoen T., and Hutchinson J.W. Micromechanics-based model for trends in toughness of ductile metals. Acta Mater. 51 (2003) 133-148
41. 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
42. Perrin G., and Leblond J.B. Analytical study of a hollow sphere made of plastic porous material and subjected to hydrostatic tension-application to some problem in ductile fracture of metals. Int. J. Plasticity 6 (1990) 677-699
43. Perrin G., and Leblond J.B. Accelerated void growth in porous ductile solids containing two populations of cavities. Int. J. Plasticity 16 (2000) 91-120
44. Pineau, A., Pardoen, T., 2007. Failure mechanisms of metals. Comprehension Structural Integrity, second ed., vol. 2. Elsevier, Amsterdam (Chapter 6).
45. Rice J.R., and Tracey D.M. On the ductile enlargement of voids in triaxial stress. J. Mech. Phys. Solids 17 (1969) 201-217
46. Ruggieri C., Panontin T.L., and Dodds Jr. R.H. Numerical modeling of ductile crack growth in 3-D using computational cell elements. Int. J. Fract. 82 (1996) 67-95
47. Scheyvaerts, F., Onck, P., Bréchet, Y., Pardoen, T., 2006. A multiscale model for the cracking resistance of 7000 Al. In: Proceedings of the Ninth European Mechanics of Materials Conference, Ed. Mines Paris.
48. Shu J.Y. Scale-dependent deformation of porous single crystals. Int. J. Plasticity 14 (1998) 1085-1107
49. Thomason P.F. Ductile Fracture of Metals (1990), Pergamon Press, Oxford
50. Tvergaard V. On localization in ductile materials containing voids. Int. J. Fract. 18 (1982) 237-251
51. Tvergaard V. Interaction of very small voids with larger voids. Int. J. Solids Struct. 35 (1998) 3989-4000
52. Tvergaard V., and Needleman A. Effect of crack meandering on dynamic, ductile fracture. J. Mech. Phys. Solids 40 (1992) 447-471
53. Wen J., Huang Y., Hwang K.C., Liu C., and Li M. The modified Gurson model; accounting fort he void size effect. Int. J. Plasticity 21 (2005) 381-395
54. Xia L., Shih C., and Hutchinson J.W. A computational approach to ductile crack growth under large scale yielding conditions. J. Mech. Phys. Solids 43 (1995) 389-413