Abstract
Hot tearing formation in both a classical tensile test and during direct chill (DC) casting of aluminum alloys has been modeled using a semicoupled, two-phase approach. Following a thermal calculation, the deformation of the mushy solid is computed using a compressive rheological model that neglects the pressure of the intergranular liquid. The nonzero expansion/compression of the solid and the solidification shrinkage are then introduced as source terms for the calculation of the pressure drop and pore formation in the liquid phase. A comparison between the simulation results and experimental data permits a detailed understanding of the specific conditions under which hot tears form under given conditions. It is shown that the failure modes can be quite different for these two experiments and that, as a consequence, the appropriate hot tearing criterion may differ. It is foreseen that a fully predictive theoretical tool could be obtained by coupling such a model with a granular approach. These two techniques do, indeed, permit coverage of the range of the length scales and the physical phenomena involved in hot tearing.
Similar content being viewed by others
Notes
CalcoSOFT 3D is a trademark of ESI-Group, Paris, France.
Abaqus is a trademark of Abaqus Inc., Pawtucket, RI.
ProCAST is a trademark of ESI-GROUP, Paris, France.
Intel Xeon is a trademark of Intel Corporation, Santa Clara, CA.
Intel Itanium is a trademark of Intel Corporation, Santa Clara, CA.
References
D.G. Eskin, Suyitno, and L. Katgerman: Prog. Mater. Sci., 2004, vol. 49, pp. 629–711.
U. Feurer: Giessereiforschung, 1976, vol. 28, pp. 750–80.
T.W. Clyne, and G.J. Davies: J. Brit. Foundry, 1981, vol. 74, pp. 65–73.
M. Rappaz, J.-M. Drezet, and M. Gremaud: Metall. Mater. Trans. A, 1999, vol. 30A, pp. 449–55.
D. Warrington, and D.G. McCartney: Cast Met., 1989, vol. 2, pp. 134–43.
J.A. Spittle, and A.A. Cushway: Met. Technol., 1983, vol. 10, pp. 6–13.
J.-M. Drezet, and M. Rappaz: Metall. Mater. Trans. A, 1996, vol. 27A, pp. 3214–25.
M. M’Hamdi, A. Mo, and H.G. Fjaer: Metall. Mater. Trans. A, 2006, vol. 37A, pp. 3069–83.
O. Ludwig, J.-M. Drezet, C.L. Martin, and M. Suéry: Metall. Mater. Trans. A, 2005, vol. 36A, pp. 1525–35.
C. Pequet, M. Gremaud, and M. Rappaz: Metall. Mater. Trans. A, 2002, vol. 33A, pp. 2095–2106.
D.J. Lahaie, and M. Bouchard: Metall. Mater. Trans. B, 2001, vol. 32B, pp. 697–705.
B. Magnin, L. Maenner, L. Katgerman, and S. Engler: Mater. Sci. Forum, 1996, vols. 217–222, pp. 1209–14.
V. Mathier, M. Rappaz, and A. Jacot: Model. Simul. Mater. Sci. Eng., 2004, vol. 12, pp. 479–90.
S. Vernède, and M. Rappaz: Philos. Mag, 2006, vol. 86, pp. 3779–94.
A. Stangeland, A. Mo, M. M’Hamdi, D. Viano, and C. Davidson: Metall. Mater. Trans. A, 2006, vol. 37A, pp. 705–14.
M. M’Hamdi, S. Benum, D. Mortensen, H.G. Fjaer, and J.-M. Drezet: Metall. Mater. Trans. A, 2003, vol. 34A, pp. 1941–52.
V. Mathier, J.-M. Drezet, and M. Rappaz: Model. Simul. Mater. Sci. Eng., 2007, vol. 15, pp. 121–34.
V. Mathier: Doctoral Thesis, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland, 2007.
V. Mathier, P.-D. Grasso, and M. Rappaz: Metall. Mater. Trans. A, 2008, vol. 39A, pp. 1399–1409.
V. Mathier, J.-M. Drezet, and M. Rappaz: MCWASP XI, Opio, France, The Minerals, Metals & Materials Society, TMS, Warrendale, 2006, pp. 643–50.
O. Ludwig, J.-M. Drezet, P. Ménès, C.L. Martin, and M. Suéry: Mater. Sci. Eng., A, 2005, vols. 413–414, pp. 174–79.
W.M. Van Haaften, B. Magnin, W.H. Kool, and L. Katgerman: Metall. Mater. Trans. A, 2002, vol. 33A, pp. 1971–80.
H.G. Fjaer, and A. Mo: Metall. Trans. B, 1990, vol. 21B, pp. 1049–61.
L.C. Nicolli, A. Mo, and M. M’Hamdi: Metall. Mater. Trans. A, 2005, vol. 36A, pp. 433–42.
B. Commet, P. Delaire, J. Rabenberg, and J. Storm: Light Met., 2003, pp. 711–17.
P.-D. Grasso: Doctoral Thesis, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland, 2004.
J.-M. Drezet: Doctoral Thesis, Ecole Polytechnique Federale de Lausanne, Lausanne, Switzerland, 1996.
A. Stangeland, A. Mo, and D. Eskin: Metall. Mater. Trans. A, 2006, vol. 37A, pp. 2219–29.
Suyitno, W.H. Kool, and L. Katgerman: Metall. Mater. Trans. A, 2005, vol. 36A, pp. 1537–46.
S. Vernède, P. Jarry, and M. Rappaz: Acta Mater., 2006, vol. 54, pp. 4023–34.
Acknowledgments
This work was carried out as part of the POST project. The authors acknowledge the Commission for Technology and Innovation (CTI, Grant No. 6167.1) and the industrial partners (Alcan (Switzerland and France)), HydroAluminium (Germany), Umicore (Brussels, Belgium), and General Motors (Detroit, MI) are acknowledged for their financial support. Finally, the authors thank Drs. G. Couturier, J.-M. Drezet, and O. Ludwig for their help with the porosity module and mechanical models; the authors also thank J.-L. Desbiolles for his assistance with aspects of the software.
Author information
Authors and Affiliations
Corresponding author
Additional information
Manuscript submitted July 22, 2008.
Rights and permissions
About this article
Cite this article
Mathier, V., Vernède, S., Jarry, P. et al. Two-Phase Modeling of Hot Tearing in Aluminum Alloys: Applications of a Semicoupled Method. Metall Mater Trans A 40, 943–957 (2009). https://doi.org/10.1007/s11661-008-9772-2
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11661-008-9772-2