Development of a constitutive material model of Mo-Mn-Fe-Co-Ni high entropy alloy through a structured two-phase inverse analysis

• Autorzy: Larrañaga Aitor Orbea , Olaeta Joseba Mendiguren , Cichocki Kamil , Madej Łukasz

Identyfikatory

DOI

10.7494/cmms.2025.1.1014

• Języki publikacji: EN

Abstrakty

EN

High entropy alloys, characterized by their near-equimolar compositions of five or more elements, exhibit unique properties including high strength, thermal stability, and corrosion resistance, making them ideal candidates for demanding applications. Unfortunately, experimental research on their behavior under processing and in-use conditions is expensive and time-consuming. Therefore, the use of computer-aided technology design is required. However, reliable constitutive material models for these alloys are rarely available in the literature. Thus, this research aims to develop a constitutive material model of a Mo-Mn-Fe-Co-Ni high entropy alloy through a structured two-phase inverse analysis. First, a preliminary inverse analysis was conducted to recalculate load-displacement data measured during uniaxial compression tests at varied temperatures and strain rates to the required flow stress data. This first phase helps mitigate the impact of testing artifacts – such as friction and localized heating – that can introduce inhomogeneities in the material and affects the hardening behavior. Then, a full inverse analysis was performed to precisely calibrate the constitutive model parameters, ensuring an accurate representation of the alloy’s flow stress behavior under the tested conditions. This second phase optimizes the model to reflect the material’s inherent properties rather than external test-induced effects, thus improving the robustness and reliability of the flow stress data across a range of loading scenarios. As a result, a reliable form of the constitutive model, along with the identified parameters, was obtained and can be used during computer-aided technology design.

Słowa kluczowe

EN

flow stress model; high entropy alloy; inverse analysis

• Wydawca: Wydawnictwa AGH
• Czasopismo: Computer Methods in Materials Science
• Rocznik: 2025
• Tom: Vol. 25, No. 1
• Strony: 5--14
• Opis fizyczny: Bibliogr. 13 poz., rys.

Twórcy

autor

Larrañaga Aitor Orbea

• Mondragon Unibertsitatea, Loramendi 4, 20500 Mondragon, Spain

• https://orcid.org/0009-0000-5005-6043

autor

Olaeta Joseba Mendiguren

• Mondragon Unibertsitatea, Loramendi 4, 20500 Mondragon, Spain

• https://orcid.org/0000-0002-2912-9030

autor

Cichocki Kamil

• AGH University of Krakow, al. A. Mickiewicza 30, 30-019, Krakow, Poland

• https://orcid.org/0000-0001-9183-8068

autor

Madej Łukasz

• AGH University of Krakow, al. A. Mickiewicza 30, 30-019, Krakow, Poland

• https://orcid.org/0000-0003-1032-6963

Bibliografia

• Chadha, K., Shahriari, D., & Jahazi, M. (2018). An approach to develop Hansel–Spittel constitutive equation during ingot breakdown operation of low alloy steels. In M. Muruganant, A. Chirazi, B. Raj (Eds.), Frontiers in Materials Processing, Applications, Research and Technology. Select Proceedings of FiMPART 2015 (pp. 239–246). Springer Singapore. https://doi.org/10.1007/978-981-10-4819-7_20
• Cichocki, K., Bała, P., Kozieł, T., Cios, G., Schell, N., & Muszka, K. (2022). Effect of Mo on phase stability and properties in FeMnNiCo high-entropy alloys. Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science, 53(5), 1749–1760. https://doi.org/10.1007/s11661-022-06629-x
• Gao, M. C., Yeh, J.-W., Liaw, P. K., & Zhang, Y. (2016). High-entropy alloys: Fundamentals and applications. Springer Cham. https://doi.org/10.1007/978-3-319-27013-5
• Gawad, J., Kuziak, R., Madej, L., Szeliga, D., & Pietrzyk, M. (2005). Identification of rheological parameters on the basis of various types of compression and tension tests. Steel Research International, 76(2–3), 131–137. https://doi.org/10.1002/srin.200505984
• Kowalski, B., Sellars, C. M., Pietrzyk, M. (2006). Identification of rheological parameters on the basis of plane strain compression tests on specimens of various initial dimensions. Computational Materials Science, 35(2), 92–97. https://doi.org/10.1016/j.commatsci.2005.02.024
• Laplanche, G., Kostka, A., Horst, O. M., Eggeler, G., & George, E. P. (2016). Microstructure evolution and critical stress for twinning in the CrMnFeCoNi high-entropy alloy. Acta Materialia, 118, 152–163. https://doi.org/10.1016/j.actamat.2016.07.038
• Lin, Y.-K., Hsu, K.-M., & Lee, P.-K. (2010). The application of flow stress model to sheet metal forming simulation. China Steel Technical Report, 23, 49–55.
• Miracle, D. B., & Senkov, O. N. (2017). A critical review of high entropy alloys and related concepts. Acta Materialia, 122, 448–511. https://doi.org/10.1016/j.actamat.2016.08.081
• Niu, L., Zhang, Q., Wang, B., Han, B., Li, H., & Mei, T. (2021). A modified Hansel-Spittel constitutive equation of Ti-6Al-4V during cogging process. Journal of Alloys and Compounds, 894, 162387. https://doi.org/10.1016/j.jallcom.2021.162387
• Szeliga, D., Gawad, J., & Pietrzyk, M. (2006). Inverse analysis for identification of rheological and friction models in metal forming. Computer Methods in Applied Mechanics and Engineering, 195(48–49), 6778–6798. https://doi.org/10.1016/j.cma.2005.03.015
• Van Tonder, J. D., Venter, M. P., & Venter, G. (2023). A new method for improving inverse finite element method material characterization for the Mooney–Rivlin material model through constrained optimization. Mathematical and Computational Applications, 28(4), 78. https://doi.org/10.3390/mca28040078
• Yeh, J.-W., Chen, S.-K., Lin, S.-J., Gan, J.-Y., Chin, T.-S., Shun, T.-T., Tsau, C.-H., & Chang, S.-Y. (2004). Nanostructured high-entropy alloys with multiple principal elements: Novel alloy design concepts and outcomes. Advanced Engineering Materials, 6(5), 299–303. https://doi.org/10.1002/adem.200300567
• Zhang, Y., Zuo, T. T., Tang, Z., Gao, M. C., Dahmen, K. A., Liaw, P. K., & Lu, Z. P. (2014). Microstructures and properties of high-entropy alloys. Progress in Materials Science, 61, 1–93. https://doi.org/10.1016/j.pmatsci.2013.10.001

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).