Abstract
Damage in a dual phase steel was measured using in situ high-resolution X-ray absorption tomography. A comparison with the behavior of its two constituents ferrite and martensite, taken separately, was also achieved in the present work. The method was particularly useful for analyzing the respective contribution of nucleation and growth of voids in the studied materials. Quantitative analysis of the damage events was carried out on a same 3D region inside the reconstructed volumes at different deformation steps for different samples cut from the three kinds of materials. Void number prediction and growth model, based on local stress triaxiality, show a good agreement with the experimental data.
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Abbreviations
- A :
-
Total elongation
- A g :
-
Uniform elongation
- D eq :
-
Equivalent diameter of voids
- f m :
-
Volume fraction of martensite
- HV m,f :
-
Hardness of martensite and ferrite
- N :
-
Number of voids
- R :
-
Notch radius of the samples
- R e :
-
Yield strength
- R m :
-
Ultimate tensile strength
- S 0 :
-
Area of the initial section of the sample
- S (z) :
-
Area of a given section of the sample during the deformation
- T :
-
Stress triaxiality
- T 0 :
-
Initial stress triaxiality
- T loc :
-
Local stress triaxiality
- \({\varepsilon}\) :
-
True strain
- σ C :
-
Critical stress of martensite/ferrite interface
- σ eq :
-
Equivalent stress
- σ m :
-
Mean stress
- λ:
-
Average interparticle distance
References
Argon AS, Im J, Safoglu R (1975) Cavity formation from inclusions in ductile fracture. Metall Trans A 6: 825–837
Avramovic-Cingaraa G, Ososkova Y, Jain MK, Wilkinson DS (2009) Effect of martensite distribution on damage behavior in DP600 dual phase steels. Mater Sci Eng 516(1–2): 7–16
Babout L (2002) Étude par tomographie X et modélisation de l’endommagement de matériaux métalliques modèles. Dissertation, INSA de Lyon
Bouaziz O, Embury JD (2007) Microstructural design for advanced structural steels. Mater Sci Forum 539(543): 42–50
Buffiere J-Y, Maire E, Adrien J, Masse J-P, Boller E (2010) In situ experiments with X-ray tomography: an attractive tool for experimental mechanics. Exp Mech 50(3): 289–305
Dierickx P, Verdu C, Reynaud A, Fougeres R (1997) A study of physico-chemical mechanisms responsible for damage of heat treated and as-cast ferritic spheroidal graphite cast irons. Adv Mater Res 4(5): 153–160
Di Michiel M, Merino JM, Fernandez-Carreiras D, Buslaps T, Honkimäki V, Falus P, Martins T, Svensson O (2005) Fast microtomography using high energy synchrotron radiation. Rev Sci Instr 4: 43702–43707
Griffith AA (1921) The phenomena of rupture and flow in solids. Phil Trans R Soc Lond A 221: 163–198
Gurson AL (1997) Continuum theory of ductile rupture by void nucleation and growth and flow rules for porous ductile media. J Eng Mater Tech Trans ASME 99(1): 2–15
Helbert AL, Feaugas X, Clavel M (1998) Effects of microstructural parameters and back stress on damage mechanisms in alpha/beta titanium alloys. Acta Mater 46: 939–951
Huang Y (1991) Accurate dilatation rates for spherical voids in triaxial stress fields. J App Mech 58: 1084–1086
Kang J, Ososkov Y, Embury JD, Wilkinson DS (2007) Digital image correlation studies for microscopic strain distribution and damage in dual phase steels. Scripta Mater 56(11): 999–1002
Kumar A, Singh SB, Ray KK (2008) Influence of bainite/martensite-content on the tensile properties of low carbon dual-phase steels. Mater Sci Eng 474(1–2): 270–282
Landron C, Maire E, Bouaziz O, Adrien J, Di Michiel M, Cloetens P, Suhonen H (2011) Resolution effect on the study of ductile damage using synchrotron X-ray tomography. Nucl Instr Meth B. doi:10.1016/j.nimb.2011.08.069
Landron C, Bouaziz O, Maire E, Adrien J (2010) Characterization and modeling of void nucleation by interface decohesion in dual phase steels. Scripta Mater 63: 973–976
Llorca J, Martin A, Ruiz J, Elices M (1993) Particulate fracture during deformation of a spray formed metal–matrix composite. Metal Mater Trans 24(7): 1575–1588
Maresca G, Milella P, Pino G (1997) A critical review of triaxiality based failure criteria. Proc Convegno IGF13 Cassino. ISBN 978-88-95940-10-6
Maire E, Bouaziz O, Di Michiel M, Verdu C (2008) Initiation and growth of damage in a dual-phase steel observed by X-ray microtomography. Acta Mater 56(18): 4954–4964
Maire E, Carmona V, Courbon J, Ludwig W (2007) Fast X-ray tomography and acoustic emission study of damage in metals during continuous tensile tests. Acta Mater 55(20): 6806–6815
Mazinani M, Poole WJ (2006) Deformation behavior of martensite in a low-carbon dual-phase steel. Adv Mater Research 15(17): 774–779
Ohata M, Toyoda M (2006) Damage mechanism for controlling ductile cracking of structural steel with heterogeneous microstructure. Mater Sci Forum 512: 31–35
Rakin M, Cvijovic Z, Grabulov V, Kojic M (2000) Micromechanism of ductile fracture initiation—void nucleation and growth. Facta Univ Ser Mech Eng 1(7): 825–833
Rice JR, Tracey DM (1969) On the ductile enlargement of voids in triaxial growth holes. J Mech Phys Solids 17: 210–217
Sarkar J, Kutty TRG, Konlon KT, Wilkinson DS, Embury JD, Lloyd DJ (2001) Tensile and bending properties of aa5754 aluminum alloys. Mater Sci Eng 316(1–2): 52–59
Thomason PF (1990) Ductile Fracture of Metals. Pergamon Press, Oxford
Valiente A (2001) On Bridgman’s stress solution for a tensile neck applied to axisymmetrical blunt notched tension bars. J Appl Mech 68(3): 412–420
Weibull W (1951) A statistical distribution function of wide applicability. J Appl Mech Trans ASME 18(3): 293–297
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Bareggi, A., Maire, E., Bouaziz, O. et al. Damage in dual phase steels and its constituents studied by X-ray tomography. Int J Fract 174, 217–227 (2012). https://doi.org/10.1007/s10704-012-9692-4
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DOI: https://doi.org/10.1007/s10704-012-9692-4