Numerical Modelling of Stress and Strain Evolution during Solidification of a Single Crystal Superalloy

Article Preview

Abstract:

During the manufacture of turbine blades from single crystal nickel-based superalloys by investment casting, recrystallisation can occur during solution heat treatment. The introduction of grain boundaries into a single crystal component is potentially detrimental to performance, and therefore manufacturing processes and/or component geometries should be chosen to prevent their occurrence. In this work, numerical models have been designed to enable a predictive capability for the factors influencing recrystallisation to be constructed. The root cause is plasticity on the microscale caused by differential thermal contraction of metal, mould and core; when the plastic deformation is sufficient, recrystallisation can take place subsequently. The models take various forms. First, one-dimensional models based upon static equilibrium have been produced – our calculations indicate that plastic strain is likely to take place in two temperature regimes: by creep between 1150°C and 1000°C and by tensile (time-independent) strain below 650°C. The idea of a strain-based criterion for recrystallisation is then proposed. Second, more sophisticated three-dimensional calculations based upon the finite element method are carried out. Our predictions are compared critically with experimental information.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

204-209

Citation:

Online since:

July 2011

Export:

[1] D.C. Cox, B. Roebuck, C.M.F. Rae, and R.C. Reed: Materials Science and Technology Vol. 19 (2003), p.440–446.

Google Scholar

[2] R.C. Reed: The Superalloys: Fundamentals and Applications. Cambridge University Press, Cambridge (2006).

Google Scholar

[3] P.R. Rios, F. S. Jr, H.R.Z. Sandim, R.L. Plaut, and A.F. Padiha: Materials Research Vol. 8 (2005), p.225–238.

Google Scholar

[4] R.D. Doherty, D.A. Hughes, F.J. Humphreys, J.J. Jonas, D. Juul Jensen, M.E. Kass- ner, W.E. King, T.R. McNelley, H.J. McQueen, and A.D. Rollett: Materials Science and Engineering, Vol. A238 (1997), p.219–274.

DOI: 10.1016/s0921-5093(97)00424-3

Google Scholar

[5] J.G. Byrne: Recovery, Recrystallisation and grain growth. The MacMillan Company, New York (1965).

Google Scholar

[6] P. Cotterill and P.R. Mould: Recrystallisation and grain growth in metals. Surrey University Press, London (1976).

Google Scholar

[7] F.J. Humphreys and M. Hatherly: Recrystallisation and related annealing phenomena. Elsevier Science Ltd., Oxford (1995).

Google Scholar

[8] S.S. Gorelik: Recrystallization in metals and alloys. Moscow: MIR Publishers, (1981).

Google Scholar

[9] Sir Alan Cottrell: An introduction to metallurgy. Edward Arnold (Publishers) Ltd, Cambridge, 2nd edition (1975).

Google Scholar

[10] B. N. J. Persson: Physical Review B, Vol. 61(2000), p.5949–5966.

Google Scholar

[11] R.W.K. Honeycombe: The plastic deformation of metals. Edward Arnold Publishers. Ltd., London, 2nd edition (1984).

Google Scholar

[12] A.J. Fletcher: Thermal stress and strain generation in heat treatment. Elsevier Science Publishers. Ltd., Essex (1989).

Google Scholar

[13] G.E. Dieter: Mechanical Metallurgy. Materials Science and Engineering Series. McGraw-Hill, Singapore, 3rd edition (1986).

Google Scholar

[14] V.E. Saouma: Advanced Mechanics of Materials. University of Colorado, Boulder, (2002).

Google Scholar

[15] T.R. Chandrupatla and A.D. Belegundu. Introduction to Finite Elements in Engineering. Prentice hall, New Jersey (1991).

Google Scholar

[16] ESI Group: ProCAST 2009. 0 User's Manual Volume 1. (2009).

Google Scholar

[17] ESI Group: ProCAST 2009. 0 User's Manual Volume 2. (2009).

Google Scholar

[18] R.W. Broomfield. Review of creep data on As-cast RR3010 and CMSX-4, generated by the National Physical Laboratory. Technical report, The University of Birmingham, March (2009).

Google Scholar

[19] B. Roebuck and R. Morrell: Elevated temperature mechanical and physical property tests on single crystal Ni alloys. CMMT(D) 269, National Physical Laboratory, (2000).

Google Scholar

[20] R. Morrell, J. M. Cox, B. Monaghan, and L. Chapman. Property characterisation of core and mould ceramics for directional solidification of turbine blade alloys. CMMT(D) 259, National Physical Laboratory, (2001).

Google Scholar

[21] R. Morrell and L. Chapman. Thermal and mechanical properties of a casting mould material. Technical Report 07110082/1, National Physical Laboratory, (2008).

Google Scholar

[22] R. Morrell and L. Chapman. Thermal and mechanical properties of a casting mould material. Technical Report E07110005/1, National Physical Laboratory, (2008).

Google Scholar