Development of Single-Crystal Ni-Base Superalloys Based on Multi-criteria Numerical Optimization and Efficient Use of Re

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Development of Single-Crystal Ni-Base Superalloys Based on Multi-criteria Numerical Optimization and Efficient Use of Refractory Elements M. MARKL, A. MU¨LLER, N. RITTER, M. HOFMEISTER, D. NAUJOKS, H. SCHAAR, K. ABRAHAMS, J. FRENZEL, A.P.A. SUBRAMANYAM, A. LUDWIG, J. PFETZING-MICKLICH, T. HAMMERSCHMIDT, R. DRAUTZ, I. STEINBACH, R. RETTIG, R.F. SINGER, and C. KO¨RNER The development of new Ni-base superalloys with a complex composition consisting of eight or more alloying elements is a challenging task. The experimental state-of-the-art development cycle is based on the adaption of already existing compositions. Although new alloy compositions with potentially improved material properties are expected to be similar to already known superalloys, this procedure impedes efficiently finding these compositions in the large multi-dimensional design-space of all alloying elements. Modern alloy development combines numerical optimization methods with experimental validation to guide the development towards promising compositions. In this work, an improved numerical multi-criteria optimization tool using CALPHAD calculations and semi-empirical models for alloy development is presented. The model improvements to its predecessor are described and the successful application for the development of rhenium-free single-crystal Ni-base superalloys ERBO/13 and ERBO/15 is revisited. The optimization tool is described and the designed alloys are discussed regarding phase stability. Finally, a possible phase stability model extending the optimization tool and improving the alloy composition predictions is presented. https://doi.org/10.1007/s11661-018-4759-0  The Author(s) 2018

I.

INTRODUCTION

DESIGNING new single-crystal Ni-base superalloy is a challenge due to competitive requirements on the material properties and the complexity of the material composition with eight or more alloying elements. Additionally, modifying a single element concentration usually influences more than one alloy property and the identification of individual effects is difficult. State-ofthe-art alloy development comprises targeted adaption of existing alloy compositions for experimental testing. Consequently, alloy compositions of potentially

M. MARKL, A. MU¨LLER, N. RITTER, M. HOFMEISTER, and C. KO¨RNER are with the Friedrich-Alexander-Universita¨t ErlangenNu¨rnberg, Martensstr. 5, 91058, Erlangen, Germany. Contact e-mail: [email protected] D. NAUJOKS, H. SCHAAR, K. ABRAHAMS, J. FRENZEL, A.P.A. SUBRAMANYAM, A. LUDWIG, J. PFETZING-MICKLICH, T. HAMMERSCHMIDT, R. DRAUTZ, and I. STEINBACH are with the Ruhr-Universita¨t Bochum, Universita¨tsstr. 150, 44801, Bochum, Germany. R. RETTIG is with the Thermo-Calc Software AB, Ra˚sundava¨gen 18, 16967, Solna, Sweden. R.F. SINGER is with the Neue Materialien Fu¨rth GmbH, Dr.-Mack-Str. 81, 90762, Fu¨rth, Germany. Manuscript submitted March 15, 2018.

METALLURGICAL AND MATERIALS TRANSACTIONS A

improved material properties within the huge designspace spanned by all alloying elements are widely unexplored until today. Moder