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Slant strained band development during flat to slant crack transition in AA 2198 T8 sheet: in situ 3D measurements

  • IUTAM Paris 2015
  • Published:
International Journal of Fracture Aims and scope Submit manuscript

Abstract

In this work 3D strain and damage analyses are performed in the immediate vicinity of the notch root of a flat CT-like specimen made of aluminum alloy. Experimental data, partially exploited by Morgeneyer et al. (Acta Mat 69:78–91, 2014b), were obtained by using synchrotron laminography and the 3D reconstructed volumes are subsequently analyzed via Digital volume correlation. These data enable for in situ assessments of strain fields and ductile damage in the zone where the stress triaxiality evolves from elevated to lower levels, which is accompanied by flat-to-slant crack transition. The measured strain field patterns in this area are analyzed herein in a systematic manner by studying the incremental strain activity during several loading steps. It is shown that from the very beginning of the loading history multiple slant strained bands appear in front of the notch root while the corresponding damage growth sets in at later loading stages and higher strains. The activity of the different strained bands at the notch root is alternating between different locations over the loading history. However, the band leading to final rupture is always active. The region where slant fracture occurs is identified to be in plane strain condition with respect to the crack propagation direction.

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References

  • Altapova V, Helfen L, Myagotin A, Hänschke D, Moosmann J, Gunneweg J, Baumbach T (2012) Phase contrast laminography based on Talbot interferometry. Opt Express 20:6496–6508

    Article  Google Scholar 

  • Asserin-Lebert A, Besson J, Gourgues A (2005) Fracture of 6056 aluminum sheet materials: effect of specimen thickness and hardening behavior on strain localization and toughness. Mat Sci Eng A 395(1–2):186–194

    Article  Google Scholar 

  • Besnard G, Hild F, Roux S (2006) “Finite-element” displacement fields analysis from digital images: application to Portevin-Le Châtelier bands. Exp Mech 46:789–803

    Article  Google Scholar 

  • Besson J, McCowan C, Drexler E (2013) Modeling flat to slant fracture transition using the computational cell methodology. Eng Fract Mech 104:80–95

    Article  Google Scholar 

  • Bron F, Besson J (2006) Simulation of the ductile tearing for two grades of 2024 aluminum alloy thin sheets. Eng Fract Mech 73(11):1531–1552

    Article  Google Scholar 

  • Bron F, Besson J, Pineau A (2004) Ductile rupture in thin sheets of two grades of 2024 aluminum alloy. Mat Sci Eng A 380(1–2):356–364

    Article  Google Scholar 

  • Bull DJ, Helfen L, Sinclair I, Spearing SM, Baumbach T (2013) A synthesis of multi-scale 3D X-ray tomographic inspection techniques for assessing carbon fibre composite impact damage. Compos Sci Technol 75:55–61

    Article  Google Scholar 

  • Chen J (2011) Ductile tearing of AA2198 aluminium–lithium sheets for aeronautic application. Phd thesis, thèse d’Université

  • El-Naaman S, Nielsen K (2013) Observations on mode I ductile tearing in sheet metals. Eur J Mech A/Solids 42:54–62

    Article  Google Scholar 

  • Faleskog J, Barsoum I (2013) Tension–torsion fracture experiments-part I: experiments and a procedure to evaluate the equivalent plastic strain. Int J Solids Struct 50(25–26):4241–4257

    Article  Google Scholar 

  • Gurson A (1977) Continuum theory of ductile rupture by void nucleation and growth: part I - yield criterion and flow rules for porous ductile media. ASME J Eng Mat Techn 99:2–15

    Article  Google Scholar 

  • Helfen L, Baumbach T, Mikulík P, Kiel D, Pernot P, Cloetens P, Baruchel J (2005) High-resolution three-dimensional imaging of flat objects by synchrotron-radiation computed laminography. Appl Phys Lett 86(7):071915

    Article  Google Scholar 

  • Helfen L, Myagotin A, Pernot P, DiMichiel M, Mikulík P, Berthold A, Baumbach T (2006) Investigation of hybrid pixel detector arrays by synchrotron-radiation imaging. Nucl Instrum Method Phys Res B 563:163–166

    Article  Google Scholar 

  • Helfen L, Baumbach T, Cloetens P, Baruchel J (2009) Phase contrast and holographic computed laminography. Appl Phys Lett 94:104103

    Article  Google Scholar 

  • Helfen L, Myagotin A, Mikulík P, Pernot P, Voropaev A, Elyyan M, Di Michiel M, Baruchel J, Baumbach T (2011) On the implementation of computed laminography using synchrotron radiation. Rev Sci Instrum 82:063702

    Article  Google Scholar 

  • Helfen L, Morgeneyer T, Xu F, Mavrogordato M, Sinclair I, Schillinger B, Baumbach T (2012) Synchrotron and neutron laminography for three-dimensional imaging of devices and flat material specimens. Int J Mat Res 2:170–173

    Article  Google Scholar 

  • Hild F, Roux S (2012) Comparison of local and global approaches to digital image correlation. Exp Mech 52(9):1503–1519

    Article  Google Scholar 

  • Lan W, Deng X, Sutton MA, Chen C (2006) Study of slant fracture in ductile materials. Int J Fract 141:469–496

    Article  Google Scholar 

  • Landron C, Maire E, Adrien J, Suhonen H, Cloetens P, Bouaziz O (2012) Non-destructive 3-D reconstruction of the martensitic phase in a dual-phase steel using synchrotron holotomography. Scr Mater 66(12):1077–1080

    Article  Google Scholar 

  • Le Jolu T, Morgeneyer T, Denquin A, Sennour M, Laurent A, Besson J, Gourgues-Lorenzon AF (2014) Microstructural characterization of internal welding defects and their effect on the tensile behavior of FSW joints of AA2198 Al–Cu–Li Alloy. Metall Mater Trans A 45(12):5531–5544

    Article  Google Scholar 

  • Le Jolu T, Morgeneyer T, Denquin A, Gourgues-Lorenzon A (2015) Fatigue lifetime and tearing resistance of AA2198 Al–Cu–Li alloy friction stir welds: effect of defects. Int J Fatigue 70:463–472

    Article  Google Scholar 

  • Leclerc H, Périé J, Roux S, Hild F (2011) Voxel-scale digital volume correlation. Exp Mech 51(4):479–490

    Article  Google Scholar 

  • Lemaitre J (1992) A course on damage mechanics. Springer, Berlin

    Book  Google Scholar 

  • Lorthios J, Nguyen F, Gourgues AF, Morgeneyer T, Cugy P (2010) Damage observation in a high-manganese austenitic TWIP steel by synchrotron radiation computed tomography. Scr Mater 63(12):1220–1223

    Article  Google Scholar 

  • Mahgoub E, Deng X, Sutton M (2003) Three dimensional stress and deformation fields around flat and slant cracks under remote mode I loading conditions. Eng Fract Mech 70:2527–2542

    Article  Google Scholar 

  • Maire E, Withers PJ (2014) Quantitative X-ray tomography. Int Mater Rev 59(1):1–43

    Article  Google Scholar 

  • Maurel V, Helfen L, N’Guyen F, Köster A, Di Michiel M, Baumbach T, Morgeneyer T (2012) Three-dimensional investigation of thermal barrier coatings by synchrotron-radiation computed laminography. Scr Mater 66:471–474

    Article  Google Scholar 

  • Morgeneyer T, Helfen L, Sinclair I, Proudhon H, Xu F, Baumbach T (2011) Ductile crack initiation and propagation assessed via in situ synchrotron radiation computed laminography. Scr Mater 65:1010–1013

    Article  Google Scholar 

  • Morgeneyer T, Helfen L, Mubarak H, Hild F (2013) 3D digital volume correlation of synchrotron radiation laminography images of ductile crack initiation: an initial feasibility study. Exp Mech 53(4):543–556

    Article  Google Scholar 

  • Morgeneyer T, Proudhon H, Cloetens P, Ludwig W, Roirand Q, Laiarinandrasana L, Maire E (2014a) Nanovoid morphology and distribution in deformed HDPE studied by magnified synchrotron radiation holotomography. Polymer 55(25):6439–6443

    Article  Google Scholar 

  • Morgeneyer T, Taillandier-Thomas T, Helfen L, Baumbach T, Sinclair I, Roux S, Hild F (2014b) In situ 3D observation of early strain localisation during failure of thin Al alloy (2198) sheet. Acta Mater 69:78–91

    Article  Google Scholar 

  • Myagotin A, Voropaev A, Helfen L, Hänschke D, Baumbach T (2013) Efficient Volume Reconstruction for Parallel-Beam Computed Laminography by Filtered Backprojection on Multi-Core Clusters. IEEE Trans Image Process 22(12):5348–5361

    Article  Google Scholar 

  • Needleman A (2015) The effect of rate dependence on localization of deformation and failure in softening solids. J Appl Mech 82(2):021002

    Article  Google Scholar 

  • Needleman A, Rice J (1977) Limits to ductility set by plastic flow localization. In: Koistinen D, Wang N (eds) General motors research laboratories symposium, mechanics of sheet metal forming. Plenum Press, New York, pp 237–267

    Google Scholar 

  • Needleman A, Tvergaard V (1992) Analyses of plastic flow localization in metals. Appl Mech Rev 45(3S):S3–S18

    Article  Google Scholar 

  • Papasidero J, Doquet V, Mohr D (2014) Determination of the effect of stress state on the onset of ductile fracture through tension–torsion experiments. Exp Mech 54(2):137–151

    Article  Google Scholar 

  • Reischig P, Helfen L, Wallert A, Baumbach T, Dik J (2013) Non-invasive, three-dimensional x-ray imaging of paint layers. Appl Phys A 111:983–995

    Article  Google Scholar 

  • Roux S, Hild F, Viot P, Bernard D (2008) Three dimensional image correlation from X-ray computed tomography of solid foam. Comp Part A 39(8):1253–1265

    Article  Google Scholar 

  • Shen Y, Morgeneyer T, Garnier J, Allais L, Helfen L, Crépin J (2013) Three-dimensional quantitative in situ study of crack initiation and propagation in AA6061 aluminum alloy sheets via synchrotron laminography and finite-element simulations. Acta Mater 61(7):2571–2582

    Article  Google Scholar 

  • Taillandier-Thomas T, Roux S, Morgeneyer T, Hild F (2014) Localized strain field measurement on laminography data with mechanical regularization. Nucl Instrum Methods Phys Res B 324:70–79

    Article  Google Scholar 

  • Tekoğlu C, Hutchinson JW, Pardoen T (2015) On localization and void coalescence as a precursor to ductile fracture. Philos Trans R Soc Lond A: Math, Phys, Eng Sci 373(2038)

  • Tvergaard V, Needleman A (1984) Analysis of the cup-cone fracture in a round tensile bar. Acta Metall 32(1):157–169

    Article  Google Scholar 

  • Ueda T, Helfen L, Morgeneyer T (2014) In situ laminography study of three-dimensional individual void shape evolution at crack initiation and comparison with Gurson–Tvergaard–Needleman-type simulations. Acta Mater 78:254–270

    Article  Google Scholar 

  • Xu F, Helfen L, Baumbach T, Suhonen H (2012) Comparison of image quality in computed laminography and tomography. Opt Exp 20:794–806

    Article  Google Scholar 

Download references

Acknowledgments

The financial support of the Fédération Francilienne de Mécanique and Agence Nationale de la Recherche (ANR-14-CE07-0034-02 Grant for COMINSIDE project) is gratefully acknowledged. Constellium C-Tech supplied the material. We acknowledge the European Synchrotron Radiation Facility for provision of beamtime at beamline ID19 (experiment MA1006).

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Authors and Affiliations

  1. Laboratoire de Mécanique et Technologie (LMT), ENS Cachan/CNRS/Université Paris-Saclay, 61 avenue du Président Wilson, 94235, Cachan, France

    Ante Buljac, Thibault Taillandier-Thomas, Stéphane Roux & François Hild

  2. MINES ParisTech, MAT-Centre des matériaux, CNRS UMR 7633, PSL Research University, BP 87, 91003, Evry, France

    Ante Buljac, Thibault Taillandier-Thomas & Thilo F. Morgeneyer

  3. ANKA/Institute for Photon Science and Synchrotron Radiation, Karlsruhe Institute of Technology (KIT), 76131, Karlsruhe, Germany

    Lukas Helfen

  4. European Synchrotron Radiation Facility (ESRF), 38043, Grenoble, France

    Lukas Helfen

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  1. Ante Buljac
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  2. Thibault Taillandier-Thomas
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  3. Thilo F. Morgeneyer
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  4. Lukas Helfen
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  5. Stéphane Roux
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  6. François Hild
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Correspondence to Ante Buljac.

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Buljac, A., Taillandier-Thomas, T., Morgeneyer, T.F. et al. Slant strained band development during flat to slant crack transition in AA 2198 T8 sheet: in situ 3D measurements. Int J Fract 200, 49–62 (2016). https://doi.org/10.1007/s10704-015-0052-z

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