Abstract
The friction stir welding (FSW) process generally induces a gradient of properties and a softer behaviour along the welded joint. To design aeronautical structures welded by FSW in fatigue, it is necessary to study the impact of this localized soft behaviour on the overall structure. In this study, the 2198-T8 hardening structural aluminium alloy is considered. Monotonic and cyclic mechanical tests are performed by combining conventional extensometric measurements with digital image correlation (DIC) to measure the local displacement fields around the welded zone. Based on these experimental data, constitutive equations are proposed and identified, zone by zone, across the welded joint. In parallel, a quantification of T1 (\(\hbox {Al}_{\mathrm {2}}\)CuLi) strengthening precipitates is performed in different regions of the joint with a transmission electron microscope in order to identify a relationship between the microstructure and the mechanical parameters. Finally, once all the material parameters are identified, the model is validated by a 3D finite element analysis representative of FSW samples.
Similar content being viewed by others
References
Thomas, W.: www.twi-global.com. TWI (1991)
Mishra, R.S., Mahoney, M.W.: Friction Stir Welding and Processing. Chapter 5, pp. 71–110 (2007)
Alexopoulos, N.D., Migklis, E., Stylianos, A., Myriounis, D.P.: Fatigue behavior of the aeronautical Al-Li (2198) aluminum alloy under constant amplitude loading. Int. J. Fatigue 56, 95–105 (2013)
Le Jolu, T.: Influence des défauts de soudage sur le comportement plastique et la durée de vie en fatigue de soudures par friction-malaxage d’un alliage Al–Cu–Li. Thèse de doctorat, Mines ParisTech (2011)
Demmouche, Y.: Étude du comportement en fatigue d’assemblages soudés par FSW pour applications aéronautiques, PhD Arts et Métiers ParisTech (2012)
Lockwood, W.D., Tomaz, B., Reynolds, A.P.: Mechanical response of friction stir welded AA2024: experiment and modeling. Mater. Sci. Eng. A 323, 348–353 (2002)
Reynolds, A.P., Duvall, F.: DIC for determination of weld and base metal constitutive behaviour, Department of Mechanical Engineering. University of South Carolina, Columbia S.C. - (1999)
McWilliams, B.A., Yu, J.H., Yen, C.F.: Numerical simulation and experimental characterization of friction stir welding on thick aluminium alloy AA2139-T8 plates. Mater. Sci. Eng. 585, 243–252 (2013)
Leitao, C., Galvao, I., Leal, R.M., Rodrigues, D.M.: Determination of local constitutive properties of aluminium friction stir welds using digital image correlation. Mater. Des. 33, 69–74 (2012)
Gallais, C.: Joints soudés par friction malaxage d’alliages d’aluminium de la série 6xxx: caractérisation et modélisation, PhD Université de Grenoble (2005)
Dorin, T.: Mécanismes de durcissement structural par des précipités anisotropes dans un alliage Al–Cu–Li de troisième génération, PhD Université de Grenoble (2013)
Cavaliere, P.., Cabibbo, M.., Panella, F.., Squillace, A..: 2198 Al–Li plates joined by Friction Stir Welding: mechanical and Microstructural Behavior. Mater. Des. 30, 3622–3631 (2009)
Gao, C., Zhu, Z., Han, J., Li, H.: Correlation of microstructure and mechanical properties in friction stir welded 2198-T8 Al–Li alloy. Mater. Sci. Eng. A 639, 489–499 (2015)
Krasnowski, K., Hamilton, C., Dymek, S.: Influence of the tool shape and weld configuration on microstructure and mechanical properties of the Al 6082 alloy FSW joints. Arch. Civ. Mech. Eng. 15, 133–141 (2015)
Hardy, H.K., Silcock, J.M.: The phase sections at 500 and \(350^{\circ }\)C of Al rich Al-Cu-Li alloys. J. Inst. Met. 84, 423–428 (1955)
Steuwer, A., Dumont, M., Altenkirch, J., Birosca, S., Deschamps, A., Prangnell, P.B., Withers, P.J.: A combined approach to microstructure mapping of an Al–Li AA2199 friction stir weld. Acta Mater. 59, 3002–3011 (2011)
Gayle, F.W., Heubaum, F.H., Pickens, J.R.: Structure and properties during aging of an ultra-high strength aluminum–copper–lithium–silver–magnesium alloy. Scr. Metall. Mater. 24, 79–84 (1990)
Donnadieu, P., Shao, Y., De Geuser, F., Botton, G.A., Lazar, S., Cheynet, M., de Boissieu, M., Deschamps, A.: Atomic structure of T1 precipitates in Al–Li–Cu alloys revisited with HAADF-STEM imaging and small-angle X-ray scattering. Acta Mater. 59, 462–472 (2011)
Deschamps, A., Decreus, B., De Geuser, F., Dorin, T., Weyland, M.: The influence of precipitation on plastic deformation of Al–Cu–Li alloys. Acta Mater. 61, 4010–4021 (2013)
Decreus, B., Deschamps, A., De Geuser, F., Donnadieu, P., Sigli, C., Weyland, M.: The influence of Cu/Li ratio on precipitation in Al–Cu–Li-x alloys. Acta Mater. 61, 2207–2218 (2013)
Zhang, S., Zeng, W.D., Yang, W.H., Shi, C.L., Wang, H.J.: Ageing response of a Al–Cu–Li 2198 alloy. Mater. Des. 63, 368–374 (2014)
Gao, C., Ma, Y., Tang, L.-Z., Wang, P., Zhang, X.: Microstructural evolution and mechanical behavior of friction spot welded 2198–T8 Al–Li alloy during aging treatment. Mater. Des. 115, 224–230 (2017)
Schindelin, J., Arganda-Carreras, I., Frise, E., et al.: Fiji: an open-source platform for biological-image analysis. Nat. Methods 9(7), 676–682 (2012)
Decreus, B.: Etude de la précipitation dans les alliages Al-Li-Cu de troisième génération : relations entre microstructures et propriétés mécaniques, PhD Université de Grenoble (2010)
Williamson, G.K., Hall, W.H.: X-ray line broadening from filed aluminium and wolfram. Acta Mell. 1, 22–31 (1953)
Khan, S., Kintzel, O., Mosler, J.: Experimental and numerical lifetime assessment of Al 2024 sheet. Int. J. Fatigue 37, 112–122 (2011)
ARAMIS Software. www.gom.com
Chen, J.: Ductile Tearing of AA2198 Aluminum–Lithium Sheets for Aeronautic Application. Thèse de doctorat, Mines ParisTech (2011)
Lemaitre, J., Chaboche, J.L.: Mechanics of Solid Materials. Cambridge University Press, Cambridge (1994)
Besson, J., Cailletaud, G., Chaboche, J.L., Forest, S.: Non-Linear Mechanics of Materials. Springer, Berlin (2009)
Altenbach, H., Bolchoun, A., Kolupaev, V.A.: Phenomenological yield and failure criteria. In: Plasticity of Pressure-Sensitive Materials, pp. 49–152. Springer, Berlin (2014)
Green, A.E., Naghdi, P.M.: A general theory of elastic–plastic continuum. Arch. Rat. Mech. Anal. 18, 251–281 (1965)
Nagtegaal, J.C.: On the implementation of inelastic constitutive equations with special reference to large deformation problems. Comput. Methods Appl. Mech. Eng. 33, 469–484 (1982)
Lion, A.: Constitutive modelling in finite thermoviscoplasticity: a physical approach based on nonlinear rheological elements. Int. J. Plast. 16, 469–494 (2000)
Shutov, A.V., Kreißig, R.: Finite strain viscoplasticity with nonlinear kinematic hardening: phenomenological modeling and time integration. Comput. Methods Appl. Mech. Eng. 197(21–24), 2015–2029 (2008)
Vladimirov, I.N., Pietryga, M.P., Reese, S.: Anisotropic finite elastoplasticity with nonlinear kinematic and isotropic hardening and application to sheet metal forming. Int. J. Plast. 26(5), 659–687 (2010)
Shutov, A.V.: Models of nonlinear kinematic hardening based on different versions of the rate-independent Maxwell fluid, In: COMPLAS XIV: Proceedings of the XIV International Conference on Computational Plasticity: Fundamentals and Applications, CIMNE, pp. 385–396 (2017)
Starink, M., Wang, P., Sinclair, I., Gregson, P.: Microstructure and strengthening of Al–Li–Cu–Mg alloys and MMCs: II. Modelling of yield strength. Acta Mater. 47, 3855–3868 (1999)
Seidman, D.N., Marquis, E.A., Dunand, D.C.: Precipitation strengthening at ambient and elevated temperatures oh heat-treatable Al(Sc) alloys. Acta Metall. 50, 4021–4035 (2002)
Hansen, N.: Boundary strengthening over five length scales. Adv. Eng. Mater. 7, 815–821 (2005)
Woo, W., Balogh, L., Ungár, T., Choo, H., Feng, Z.: Grain structure and dislocation density measurements in a friction-stir welded aluminium alloy using X-ray peak profile analysis. Mater. Sci. Eng. A 498, 308–313 (2008)
Huang, J., Ardell, A.: Strengthening mechanisms associated with T1 particles in 2 Al–Li–Cu alloys. J. Phys. 48, 373–383 (1987)
Armstrong, R.W.: Past to present nanoscale connections. Mater Trans 55, 2–12 (1987)
Fleisgher, R.L.: Solution hardening. Acta Metall. 9, 996–1000 (1961)
Labusch, R.: A statistical theory of solid solution hardening. Phys. Status Solidi B 41, 659–669 (1970)
Peierls, R.: The size of a dislocation. Proc. Phys. Soc. 52, 34–37 (1940)
Nabarro, F.R.N.: Dislocations in a simple cubic lattice. Proc. Phys. Soc. 59, 256–272 (1947)
Truant, X.: Etude et modélisation du comportement mécanique de panneaux de structure soudés par friction-malaxage (FSW), PhD Ecole des Mines de Paris (2018)
Acknowledgements
The authors would like to acknowledge Constellium for providing aluminium sheet metal.
Funding
This research was supported integrally by Onera (Office National d’Etudes et de Recherches Aérospatiales)
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
All authors declare that they have no conflict of interest.
Data availability
The datasets generated during the current study are not publicly available due to legal restrictions.
Code availability
Numerical analysis was performed with the Finite Element suite Zset developed by Ecole des Mines and Onera: http://www.zset-software.com.
Additional information
Communicated by Marcus Aßmus, Victor A. Eremeyev and Andreas Öchsner.
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Truant, X., Cailletaud, G., Fournier Dit Chabert, F. et al. Cyclic elastoplastic behaviour of 2198-T8 aluminium alloy welded panels. Continuum Mech. Thermodyn. 33, 1691–1707 (2021). https://doi.org/10.1007/s00161-021-01002-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00161-021-01002-6