A Sharp-Interface Model of the Diffusive Phase Transformation in a Nickel-Based Superalloy

Munk, Lukas; Reschka, Silvia; Maier, Hans Jürgen; Wriggers, Peter; Löhnert, Stefan

doi:10.3390/met12081261

Open AccessFeature PaperArticle

A Sharp-Interface Model of the Diffusive Phase Transformation in a Nickel-Based Superalloy

by

Lukas Munk

¹

,

Silvia Reschka

^2,*,

Hans Jürgen Maier

²

,

Peter Wriggers

³ and

Stefan Löhnert

¹

Institut für Mechanik und Flächentragwerke, Technische Universität Dresden, 01062 Dresden, Germany

²

Institut für Werkstoffkunde (Materials Science), Leibniz Universität Hannover, An der Universität 2, 30823 Garbsen, Germany

³

Institut für Kontinuumsmechanik, Leibniz Universität Hannover, An der Universität 1, 30823 Garbsen, Germany

^*

Author to whom correspondence should be addressed.

Metals 2022, 12(8), 1261; https://doi.org/10.3390/met12081261

Submission received: 22 April 2022 / Revised: 13 July 2022 / Accepted: 21 July 2022 / Published: 27 July 2022

(This article belongs to the Topic Single-Crystal Ni-Based Alloys)

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Abstract

A sharp-interface model employing the extended finite element method is presented. It is designed to capture the prominent

γ

-

γ^{'}

phase transformation in nickel-based superalloys. The novel combination of crystal plasticity and sharp-interface theory outlines a good modeling alternative to approaches based on the Cahn–Hilliard equation. The transformation is driven by diffusion of solute

γ^{'}

-forming elements in the

γ

-phase. Boundary conditions for the diffusion problem are computed by the stress-modified Gibbs–Thomson equation. The normal mass balance of solute atoms at the interface yields the normal interface velocity, which is integrated in time by a level set procedure. In order to capture the influence of dislocation glide and climb on interface motion, a crystal plasticity model is assumed to describe the constitutive behaviour of the

γ

-phase. Cuboidal equilibrium shapes and Ostwald ripening can be reproduced. According to the model, in low

γ^{'}

volume-fraction alloys with separated

γ^{'}

-precipitates, interface movement does not have a significant effect on tensile creep behaviour at various lattice orientations.

Keywords: sharp-interface theory; crystal plasticity; phase transformation; diffusion; XFEM

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MDPI and ACS Style

Munk, L.; Reschka, S.; Maier, H.J.; Wriggers, P.; Löhnert, S. A Sharp-Interface Model of the Diffusive Phase Transformation in a Nickel-Based Superalloy. Metals 2022, 12, 1261. https://doi.org/10.3390/met12081261

AMA Style

Munk L, Reschka S, Maier HJ, Wriggers P, Löhnert S. A Sharp-Interface Model of the Diffusive Phase Transformation in a Nickel-Based Superalloy. Metals. 2022; 12(8):1261. https://doi.org/10.3390/met12081261

Chicago/Turabian Style

Munk, Lukas, Silvia Reschka, Hans Jürgen Maier, Peter Wriggers, and Stefan Löhnert. 2022. "A Sharp-Interface Model of the Diffusive Phase Transformation in a Nickel-Based Superalloy" Metals 12, no. 8: 1261. https://doi.org/10.3390/met12081261

APA Style

Munk, L., Reschka, S., Maier, H. J., Wriggers, P., & Löhnert, S. (2022). A Sharp-Interface Model of the Diffusive Phase Transformation in a Nickel-Based Superalloy. Metals, 12(8), 1261. https://doi.org/10.3390/met12081261

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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A Sharp-Interface Model of the Diffusive Phase Transformation in a Nickel-Based Superalloy

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