Micro-mechanical modelling of ductile failure in 6005A aluminium using a physics based strain hardening law including stage IV

Engineering Fracture Mechanics

Volumn 77, Issue 13, 2010, Pages 2491-2503

  Simar, A ^a   Nielsen, K L ^a,b   de Meester, B ^a   Tvergaard, V ^b   Pardoen, T ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Aluminium alloys; Fracture; Gurson modelling; Micro mechanical modelling; Strain hardening

Indexed keywords

3D FINITE ELEMENT; ALUMINIUM ALLOYS; DAMAGE BEHAVIOUR; DAMAGE MODEL; DUCTILE FAILURES; FINAL FAILURES; FRACTURE STRAIN; GURSON MODELLING; HEAT TREATMENT CONDITIONS; LARGE STRAINS; MATERIAL BEHAVIOUR; MICRO-MECHANICAL; PHYSICS-BASED; QUANTITATIVE PREDICTION; REAL MICROSTRUCTURE; TENSILE RESPONSE; THERMAL TREATMENT; THREE STAGES; VOID SHAPE;

ALUMINUM; ALUMINUM ALLOYS; COALESCENCE; HEAT TREATMENT; MICROSTRUCTURE; PLASTICITY; STRAIN; STRAIN HARDENING;

FRACTURE;

EID: 77955086982     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2010.06.008     Document Type: Article

References (40)

1. Gologanu M., Leblond J.B., Perrin G., Devaux J. Recent extensions of Gurson's model for porous ductile metals. Continuum micromechanics 1997, 61-106. Springer-Verlag, Berlin.
2. Tvergaard V., Needleman A. Analysis of the cup-cone fracture in a round tensile bar. Acta Mater 1984, 32:157-169.
3. Lassance D., Fabrègue D., Delannay F., Pardoen T. Micromechanics of room and high temperature fracture in 6xxx Al alloys. Prog Mater Sci 2007, 52:62-129.
4. Voce E. Practical strain-hardening function. Acta Metall 1955, 51:219-226.
5. Estrin Y. Unified constitutive laws of plastic deformation 1996, Academic Press, San Diego, p. 69-106.
6. Nes E. Modelling of work hardening and stress saturation in fcc metals. Prog Mater Sci 1998, 41:129-193.
7. Kocks U.F., Mecking H. Physics and phenomenology of strain hardening: the FCC case. Prog Mater Sci 2003, 48:171-273.
8. Mecking H., Kocks U.F. Kinetics of flow and strain-hardening. Acta Metall 1981, 29:1865-1875.
9. Estrin Y., Mecking H. A unified phenomenological description of work hardening and creep based on one-parameter models. Acta Metall 1984, 32:57-80.
10. Simar A., Bréchet Y., Meester B de, Denquin A., Pardoen T. Sequential modeling of local precipitation, strength and strain hardening in friction stir welds of an aluminum alloy 6005A-T6. Acta Mater 2007, 55:6133-6143.
11. Argon A.S., Haasen P. A new mechanism of work hardening in the late stages of large strain plastic flow in FCC and diamond cubic crystals. Acta Mater 1993, 41:3289-3306.
12. Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth. I. Yield criteria and flow rules for porous ductile media. J Engng Mater Technol 1977, 99:2-15.
13. Tvergaard V. Material failure by void growth to coalescence. Adv Appl Mech 1990, 27:83-151.
14. Pardoen T., Hutchinson J.W. An extended model for void growth and coalescence. J Mech Phys Solids 2000, 48:2467-2512.
15. Benzerga A.A., Besson J., Pineau A. Anisotropic ductile fracture - part I: experiments. Acta Mater 2004, 52:4639-4650.
16. Zhang Z.L., Thaulow C., Ødegård J. A complete Gurson model approach for ductile fracture. Engng Fract Mech 2000, 67:155-168.
17. Thomason P.F. Ductile fracture of metals 1990, Pergamon Press.
18. Pineau A., Pardoen T. Comprehensive structural integrity encyclopedia 2007, vol. 2. Elsevier, Amsterdam, [chapter 6].
19. Nielsen K.L. Predicting failure response of spot welded joints using recent extensions to the Gurson model. Comput Mater Sci 2010, 48(1):71-82.
20. Scheyvaerts F, Onck PR, Pardoen T. The growth and coalescence of voids under combined shear and tension, Université catholique de Louvain; submitted for publication.
21. Shabrov M.N., Sylven E., Kim S., Sherman D.H., Chuzhoy L., Briant C.L., et al. Void nucleation by inclusion cracking. Metall Mater Trans A 2004, 35:1745-1755.
22. Chu C.C., Needleman A. Void nucleation effects in biaxially stretched sheets. J Engng Mater Technol 1980, 102:249-256.
23. Lassance D., Scheyvaerts F., Pardoen T. Growth and coalescence of penny-shaped voids in metallic alloys. Engng Fract Mech 2006, 73:1009-1034.
24. Fabrègue D., Pardoen T. A constitutive model for elastoplastic solids containing primary and secondary voids. J Mech Phys Solids 2008, 56:719-741.
25. Liu Y.L. A study on flow stress of Al-SiC composites deformed in a large range of strain. Scripta Mater 1996, 35:253-259.
26. Edwards G.A., Stiller K., Dunlop G.L., Couper M.J. The precipitation sequence in Al-Mg-Si alloys. Acta Mater 1998, 46:3893-3904.
27. Pardoen T., Delannay F. Assessment of void growth models from porosity measurements in cold-drawn copper bars. Metall Mater Trans A 1998, 29:1895-1909.
28. Kok S., Beaudoin A.J., Tortorelli D.A. On the development of stage IV hardening using a model based on the mechanical threshold. Acta Mater 2002, 50:1653-1667.
29. Follansbee P.S., Kocks U.F. A constitutive description of the deformation of copper based on the use of the mechanical threshold stress as an internal state variable. Acta Matell 1988, 36:81-93.
30. Byun T.S., Farrell K., Li M. Deformation in metals after low-temperature irradiation: part I - mapping macroscopic deformation modes on true stress-dose plane. Acta Mater 2008, 56:1044-1055.
31. Gallais C., Simar A., Fabrègue D., Denquin A., Lapasset G., de Meester B., et al. Multiscale analysis of the strength and ductility of AA 6056 aluminum friction stir welds. Metall Mater Trans 2007, 38A:964-981.
32. Liu G., Zhang G.J., Wang R.H., Hu W., Sun J., Chen K.H. Heat treatment-modulated coupling effect of multi-scale second-phase particles on the ductile fracture of aged aluminum alloys. Acta Mater 2007, 55:273-284.
33. Asserin-Lebert A., Besson J., Gourgues A.F. Fracture of 6056 aluminum sheet materials: effect of specimen thickness and hardening behavior on strain localization and toughness. Mater Sci Engng A 2005, 395:186-194.
34. Weck A., Wilkinson D.S., Maire E., Toda H. Visualization by X-ray tomography of void growth and coalescence leading to fracture in model materials. Acta Mater 2008, 56:2919-2928.
35. Huber G., Bréchet Y., Pardoen T. Predictive model for void nucleation and void growth controlled ductility in quasi-eutectic cast aluminium alloys. Acta Mater 2005, 53:2739-2749.
36. Faleskog J., Shih F. Micromechanics of coalescence - I. Synergistic effects of elasticity, plastic yielding and multi-size-scale voids. J Mech Phys Solids 1997, 45:21-50.
37. Tekoglu C., Pardoen T. A micromechanics based damage model for composite materials. Int J Plasticity 2010, 26(4):549-569.
38. Pardoen T., Hachez F., Marchioni B., Blyth P.H., Atkins A.G. Mode I fracture of sheet metal. J Mech Phys Solids 2004, 52:423-452.
39. Pardoen T. Numerical simulation of low stress triaxiality ductile fracture. Comput Struct 2006, 84:1641-1650.
40. Nielsen K.L., Pardoen T., Tvergaard V., de Meester B., Simar A. Modelling of plastic flow localisation and damage development in friction stir welded 6005A aluminum alloy using physics based strain hardening law. Int J Solids Struct 2010, 10.1016/j.ijsolstr.2010.03.019.