Multi-Criteria Optimization

In this group a numerical tool for multi-criteria optimization is developed. In particular, it is applied on the alloy development of nickel-based superalloys. The scientific research focuses on probabilistic and deterministic models to find all optimum solutions (pareto front) in the search space. By the development of the CALPHAD method in the recent decades, new opportunities to extend the classical alloy development by means of the prediction of physical properties and microstructure arose. Most property models base on thermodynamic and kinetic calculations, which are coupled by the TC API to the commercial software ThermoCalc and DICTRA.
The research is funded by the collaborative research center SFB Transregio 103 (http://www.sfb-transregio103.de/).

Contact:

- Dr.-Ing. Matthias Markl

Equilibrium phase fractions and Scheil-Solidification calculated by Calphad method
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Optimization of density, solid solution hardening and solidus temperature of Co alloys with and without Rh
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3D-Pareto front of optimization of density, solid solution hardening and γ‘ volume fraction
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4D-Pareto front of optimization of density, solid solution hardening, sensitivity and violation share of restrictions
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$Equilibrium phase fractions and Scheil-Solidification calculated by Calphad method$

Optimization of density, solid solution hardening and solidus temperature of Co alloys with and without Rh

$3D-Pareto front of optimization of density, solid solution hardening and γ‘ volume fraction$

4D-Pareto front of optimization of density, solid solution hardening, sensitivity and violation share of restrictions

Publications:

Wahlmann B., Leidel D., Markl M., Körner C.:
Numerical Alloy Development for Additive Manufacturing towards Reduced Cracking Susceptibility
In: Crystals 11 (2021)
ISSN: 2073-4352
DOI: 10.3390/cryst11080902
Müller A., Sprenger M., Ritter N., Rettig R., Markl M., Körner C., Singer R.:
MultOpt++: a fast regression-based model for the constraint violation fraction due to composition uncertainties
In: Modelling and Simulation in Materials Science and Engineering 27 (2019)
ISSN: 0965-0393
DOI: 10.1088/1361-651X/aaf01e
Müller A., Roslyakova I., Sprenger M., Git P., Rettig R., Markl M., Körner C., Singer R.:
MultOpt++: a fast regression-based model for the development of compositions with high robustness against scatter of element concentrations
In: Modelling and Simulation in Materials Science and Engineering 27 (2019)
ISSN: 0965-0393
DOI: 10.1088/1361-651X/aaf0b8
Markl M., Müller A., Ritter N., Hofmeister M., Naujoks D., Schaar H., Abrahams K., Frenzel J., Subramanyam APA., Ludwig A., Pfetzing-Micklich J., Hammerschmidt T., Drautz R., Steinbach I., Rettig R., Singer R., Körner C.:
Development of Single-Crystal Ni-Base Superalloys Based on Multi-criteria Numerical Optimization and Efficient Use of Refractory Elements
In: Metallurgical and Materials Transactions A-Physical Metallurgy and Materials Science 49A (2018), p. 4134-4145
ISSN: 1073-5623
DOI: 10.1007/s11661-018-4759-0
Rettig R., Matuszewski K., Müller A., Helmer H., Ritter N., Singer R.:
Development of a low-density rhenium-free single crystal nickel-based superalloy by application of numerical multi-criteria optimization using thermodynamic calculations
13th International Symposium on Superalloys, SUPERALLOYS 2016 (Seven Springs, 11. September 2016 - 15. September 2016)
In: M. Hardy, E. Huron, U. Glatzel, B. Griffin, B. Lewis, C. Rae, V. Seetharaman, S. Tin (ed.): Superalloys 2016: Proceedings of the 13th Intenational Symposium of Superalloys 2016
DOI: 10.1002/9781119075646.ch4
Wahlmann B., Bandorf J., Volz N., Förner A., Pröbstle J., Multerer K., Göken M., Markl M., Neumeier S., Körner C.:
Numerical Design of CoNi-Base Superalloys With Improved Casting Structure
In: Metallurgical and Materials Transactions A-Physical Metallurgy and Materials Science (2022)
ISSN: 1073-5623
DOI: 10.1007/s11661-022-06870-4
Titz K., Vollhüter J., Randelzhofer P., Neumeier S., Göken M., Wahlmann B., Körner C.:
Design and Characterization of a Novel NiAl–(Cr,Mo) Eutectic Alloy
In: Advanced Engineering Materials (2024)
ISSN: 1438-1656
DOI: 10.1002/adem.202302079
Wahlmann B.:
Numerische Entwicklung von Superlegierungen für den Guss und die Additive Fertigung (Dissertation, 2024)
Gaag T., Weidinger J., Bandorf J., Lux V., Wahlmann B., Neumeier S., Zenk C., Körner C.:
Experimental Validation of Property Models and Databases for Computational Superalloy Design
In: Advanced Engineering Materials (2024)
ISSN: 1438-1656
DOI: 10.1002/adem.202401051
Kammermeier E., Weidinger J., Ionov I., Ramsperger M., Wahlmann B., Körner C., Zenk C.:
Accelerating Alloy Development for Additive Manufacturing
15th International Symposium on Superalloys, ISS 2024 (Pennsylvania, PA, 8. September 2024 - 12. September 2024)
In: Jonathan Cormier, Ian Edmonds, Stephane Forsik, Paraskevas Kontis, Corey O’Connell, Timothy Smith, Akane Suzuki, Sammy Tin, Jian Zhang (ed.): Minerals, Metals and Materials Series 2024
DOI: 10.1007/978-3-031-63937-1_11