Abstract
The presence of thermally induced residual stresses, created during the industrial direct chill (DC) casting process of aluminum alloys, can cause both significant safety concerns and the formation of defects during downstream processing. Although numerical models have been previously developed to compute these residual stresses, most of the computations have been validated only against measured surface distortions. Recently, the variation in residual elastic strains in the steady-state regime of casting has been measured as a function of radial position using neutron diffraction (ND) in an AA6063 grain-refined cylindrical billet. In the present study, these measurements are used to show that a well-designed thermomechanical finite element (FE) process model can reproduce relatively well the experimental results. A sensitivity analysis is then carried out to determine the relative effect of the various mechanical parameters when computing the as-cast residual stresses in a cylindrical billet. Two model parameters have been investigated: the temperature when the alloy starts to thermally contract and the plasticity behavior. It is shown that the mechanical properties at low temperatures have a much larger influence on the residual stresses than those at high temperatures.
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References
J.-M. Drezet: Ph.D. Thesis no. 1509, dir. M. Rappaz, Ecole Polytechnique Federale de Lausanne, Lausanne, 1996, http://library.epfl.ch/theses/?display=detail&nr=1509.
J.-M. Drezet and M. Rappaz: Metall. Mater. Trans. A, 1996, vol. 27A, pp. 3214–25.
B. Hannart, F. Cialti, and R. Schalkwijk: Light Metals, A.T. Taberaux, ed., San Francisco, CA, 1994, TMS, Warrendale, PA, 1994, pp. 879–87.
H.G. Fjaer and A. Mo: Metall. Mater. Trans. B, 1990, vol. 21B, pp. 1049–61.
J. Sengupta, S.L. Cockcroft, D.M. Maijer, and A. Larouche: Mater. Sci. Eng. A, 2005, vol. 397, pp. 157–77.
W. Boender, A. Burghardt, E.P. Van Klaveren, and J. Rabenberg: Light Metals, A.T. Taberaux, ed., Charlotte, NC, 2004, TMS, Warrendale, PA, 2004, pp. 679–84.
O. Ludwig, J.-M. Drezet, B. Commet, and B. Heinrich: Model Casting, Welding and Advanced Solidification Processing XI, C.A. Gandin and M. Bellet, eds., Nice, France, 2006, TMS, Warrendale, PA, 2006, pp. 185–92.
W. Droste, J.-M. Drezet, G.-U. Grun, and W. Schneider: in Continuous Casting, K. Ehrke and W. Schneider, eds., Wiley-VCH, Frankfurt, 2000, pp. 175–83.
W. Droste, G.-U. Grun, W. Schneider, and J.-M. Drezet: Light Metals, W. Schneider, ed., Seattle, WA, 2002, TMS, Warrendale, PA, 2002, pp. 703–08.
A.B. Phillion, D. Maijer, and S.L. Cockcroft: Model Casting, Welding and Advanced Solidification Processing XI, C.A. Gandin and M. Bellet, eds., Opio, France, 2006, TMS, Warrendale, PA, pp. 807–14.
K. Escobar, B.B. Gonzalez, J.L. Ortiz, P.N. Nguyen, D. Bowden, J. Foyos, J. Ogren, E.W. Lee, and O.S. Es-Said: Mater. Sci. Forum, 2002, vols. 396–402, pp. 1235–40.
S. Ganguly, M.E. Fitzpatrick, and L. Edwards: Mater. Sci. Forum, 2005, vols. 790–791, pp. 223–28.
J. Moriceau: in Light Metals, R. Rentsch, ed., TMS, Warrendale, PA, 1975, pp. 119–33.
J.S. Robinson, C.E. Truman, S. Hossain, and R. Wimpory: Mater. Sci. Forum, 2008, vol. 571–572, pp. 113–18.
M.B. Prime: Appl. Mech. Rev., 1999, vol. 52, pp. 75–96.
J. Lu: Handbook of Measurement of Residual Stresses, The Society for Experimental Mechanics Inc., The Fairmont Press, New York, NY, 1996.
L. Bichler, C. Ravindran, and D. Sediako: Can. Met. Q., 2009, vol. 48, pp. 81–90.
H. Hao, D.M. Maijer, M.A. Wells, A.B. Phillion, and S.L. Cockcroft: Metall. Mater. Trans. A, 2010, vol. 41A, pp. 2067–77.
J.-M. Drezet, A. Evans, C. Jaquerod, and A.B. Phillion: Jim Evans Honorary Symp., Seattle, WA, 2010, B. Li, B. Thomas, L. Zhang, F. Doyle, and A. Campbell, eds., TMS, Warrendale, PA, 2010, pp. 43–50.
U. Stuhr: Nucl. Instrum. Methods Phys. Res. A, 2005, vol. 545, pp. 319–29.
U. Stuhr, J. Spitzer, A. Egger, P. Hofer, P. Rasmussen, D. Graf, A. Bollhalder, M. MSchild, G. Bauer, and W. Wagner: Nucl. Instrum. Methods Phys. Res. A, 2005, vol. 545, pp. 330–38.
J.-M. Drezet, M. Rappaz, G.U. Grun, and M. Gremaud: Metall. Mater. Trans. A, 2000, vol. 31A, pp. 1627–34.
X. Doré, H. Combeau, and M. Rappaz: Acta Mater., 2000, vol. 48, pp. 3951–62.
EMPACT: European Modelling Programme on Aluminium Casting Technology, European Union Research Project No. BE-1112, 1996–2000.
J.-M. Drezet, B. Commet, H.G. Fjaer, and B. Magnin: Model Casting, Welding and Advanced Solidification Processing IX, Aachen, DM, 2000, P.R. Sahm, P.N. Hansen, and J.G. Conley, eds., TMS, Warrendale, PA, 2000, pp. 33–40.
A.B. Phillion, S. Thompson, S.L. Cockcroft, and M.A. Wells: Mater. Sci. Eng. A, 2008, vol. 497, pp. 388–94.
A. Strangeland, A. Mo, and D.G. Eskin: Metall. Mater. Trans. A, 2006, vol. 37A, pp. 2219–29.
A.B. Phillion, S.L. Cockcroft, and P.D. Lee: Acta Mater., 2008, vol. 56, pp. 4328–38.
B. Magnin, L. Maenner, L. Katgerman, and S. Engler: Mater. Sci. Forum, 1996, vols. 217–222, pp. 1209–14.
W.M. van Haaften, B. Magnin, W.H. Kool, and L. Katgerman: Metall. Mater. Trans. A, 2002, vol. 33A, pp. 1971–80.
J.-M. Drezet and M. Rappaz: Proc. 4th Eur. Conf. on Residual Stresses, S. Denis, ed., Société Francaise de Métallurgie et Matériaux, Cluny, France, 1996, pp. 357–66.
F. Heymes, B. Commet, B. Dubost, P. Lassince, P. Lequen, and G.M. Reynaud: 1st Int. Non-Ferrous Processing and Technology Conf., St. Louis, MO, 1997, T. Bains, S. Mackenzie, and G.M. Davidson, eds., ASM INTERNATIONAL, Materials Park, OH, 1997, pp. 249–55.
M. Lalpoor, D.G. Eskin, and L. Katgerman: Metall. Mater. Trans. A, 2009, vol. 40A, pp. 3304–13.
D. Bru, J. Devaux, J.M. Bergheau, and D. Pont: Mathematical Modeling of Weld Phenomena 3, H. Cerjak, ed., The Institute of Metals, Graz, Austria, 1997, pp. 456–63.
D. Dye, K.T. Conlon, and R.C. Reed: Metall. Mater. Trans. A, 2004, vol. 35A, pp. 1703–13.
Acknowledgments
The authors express their sincere thanks to C. Jaquerod, Alcan ATI (Valais, Switzerland), for providing the experimental AA6063 billet, and A. Evans, Swiss Spallation Neutron Source, Paul Scherrer Institut (Villigen, Switzerland) for his expertise and assistance with the ND measurements using the POLDI apparatus. One of the authors (AP) also acknowledges the Natural Sciences and Engineering Research Council of Canada for financial assistance.
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Manuscript submitted June 8, 2010.
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Drezet, JM., Phillion, A.B. As-Cast Residual Stresses in an Aluminum Alloy AA6063 Billet: Neutron Diffraction Measurements and Finite Element Modeling. Metall Mater Trans A 41, 3396–3404 (2010). https://doi.org/10.1007/s11661-010-0424-y
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DOI: https://doi.org/10.1007/s11661-010-0424-y