Abstract
A lattice-misfit-dependent damage density function is developed to predict the non-linear accumulation of damage when a thermal jump from 1050 °C to 1200 °C is introduced somewhere in the creep life. Furthermore, a phenomenological model aimed at describing the evolution of the constrained lattice misfit during monotonous creep load is also formulated. The response of the lattice-misfit-dependent plasticity-coupled damage model is compared with the experimental results obtained at 140 and 160 MPa on the first generation Ni-based single crystal superalloy MC2. The comparison reveals that the damage model is well suited at 160 MPa and less at 140 MPa because the transfer of stress to the γ′ phase occurs for stresses above 150 MPa which leads to larger variations and, therefore, larger effects of the constrained lattice misfit on the lifetime during thermo-mechanical loading.
Similar content being viewed by others
References
Caron P, Khan T. Mater. Sci. Eng. 1983;61(2):173-84.
Reed RC. The Superalloys: Fundamentals and Applications. Cambridge University Press, Cambridge (2006).
Pollock TM, Argon AS. Acta Metall. Mater. 1994;42(6):1859-74.
Grose D, Ansell G. Metallurgical & Materials Transactions A. 1981;12:1631-45.
Nathal MV, Mackay RA, Garlick RG. Mater. Sci. Eng.. 1985;75(1):195-205.
Belle D, Basti P. Philos. Mag. B 1991;64(2):143-52.
Müller L, Link T, Feller-Kniepmeier M. Scripta Metall. Mater. 1992;26(8):1297-302.
Diologent F, Caron P, d’Almeida T, Jacques A, Bastie P. Nucl. Instrum. Methods Phys. Res. B 2003;200:346-51.
Jacques A, Bastie P. Philos. Mag. 2003;83(26):3005-27.
Jacques A, Diologent F, Bastie P. Mater. Sci. Eng. A 2004;387–389:944-9.
Dirand L, Cormier J, Jacques A, Chateau-Cornu J-P, Schenk T, Ferry O, et al. Mater. Charact. 2013;77:32-46.
le Graverend J-B, Dirand L, Jacques A, Cormier J, Ferry O, Schenk T, et al. Metall. Mater. Trans. A 2012;43(11):3946-51.
le Graverend J-B, Jacques A, Cormier J, Ferry O, Schenk T, Mendez J. Acta Mater. 2015;84(0):65-79.
le Graverend J-B, Cormier J, Gallerneau F, Kruch S, Mendez J. Mater Design. 2014;56(0):990-7.
Serin K, Göbenli G, Eggeler G. Materials Science & Engineering A. 2004;387-389:133-7.
Cormier J, Milhet X, Mendez J. Acta Mater. 2007;55(18):6250-9.
Cormier J, Milhet X, Mendez J. Mater. Sci. Eng. A 2008;483-484:594-7.
Raffaitin A, Monceau D, Crabos F, Andrieu E. Scripta Mater. 2007;56:277-80.
Viguier B, Touratier F, Andrieu E. Philos. Mag. 2011;91(35):4427-46.
le Graverend J-B, Cormier J, Gallerneau F, Villechaise P, Kruch S, Mendez J. Int. J. Plast. 2014;59(0):55-83.
Méric L, Poubanne P, Cailletaud G. J. Eng. Mater. Technol. 1991;113:162-70.
Asaro RJ. Adv. App. Mech. 1983;23:1-115.
Hutchinson JW. Proc. Royal Soc. London A 1970;319(1537):247-72.
Kocks UF. Metall. Mater. Trans. 1970;1(5):1121-43.
Cormier J, Cailletaud G. Mater. Sci. Eng. A 2010;527(23):6300-12.
Ghighi J, Cormier J, Ostoja-Kuczynski E, Mendez J, Cailletaud G, Azzouz F. Technishe Mechanik. 2012;32(2-5):205-20.
le Graverend J.-B. Int. J. Dam. Mech. 2018.
le Graverend J-B, Cormier J, Kruch S, Gallerneau F, Mendez J. Metall. Mater. Trans. A 2012;43(11):3988-97.
Aifantis EC. J. Eng. Mater. Technol. 1984;106(4):326-30.
Fribourg G, Bréchet Y, Deschamps A, Simar A. Acta Mater. 2011;59(9):3621-35.
Moosbrugger JC, McDowell DL. J. Mech. Phys. Solids. 1990;38(5):627-56.
Hayhurst DR. J. Mech. Phys. Solids. 1972;20:381-90.
Lesne PM, Savalle S. La Recherche Aerospatiale. 1987(2):33-47.
Jacques A, Diologent F, Caron P, Bastie P. Mater. Sci. Eng. A 2008;483–484:568-71.
Arnoux M: PhD dissertation, Ecole Nationale Supérieure de Mécanique et d’Aérotechnique (France); 2009.
le Graverend J.-B: PhD dissertation, Ecole Nationale Superieure de Mecanique d’Aerotechnique (France); 2013. ISAE-ENSMA/ONERA (France); 2013.
Cormier J, Milhet X, Champion J-L, Mendez J. Adv. Eng. Mater. 2008;10(1-2):56-61.
Acknowledgment
The simulations were performed using the computing resources from Laboratory for Molecular Simulation (LMS) and High Performance Research Computing (HPRC) at Texas A&M University.
Author information
Authors and Affiliations
Corresponding author
Additional information
Manuscript submitted March 9, 2018.
Rights and permissions
About this article
Cite this article
le Graverend, JB. A Lattice-Misfit-Dependent Damage Model for Non-linear Damage Accumulations Under Monotonous Creep in Single Crystal Superalloys. Metall Mater Trans A 49, 4126–4133 (2018). https://doi.org/10.1007/s11661-018-4681-5
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11661-018-4681-5