journal article·2026-06-17Open access

A Thermodynamic 3D Model for the Simulation of Diffusion‐Controlled Alloying Processes in Heterogeneous Material Structures

Ulrich Holländer, Leonhard Holländer, André Langohr, Hans Jürgen Maier

Advanced Engineering Materials· Volume 28· Issue 12

Abstract

A numerical model is introduced in which the thermodynamic diffusion approach resulting from irreversible thermodynamics is consistently applied. Unlike Fick's approach that relies on concentration gradients, the thermodynamic approach employs the actual driving force for diffusion, which is the gradient of a component's thermodynamic activity. Utilizing CalPhaD programs to extract component activities from thermodynamic databases, a numerical calculation method was developed and implemented using CUDA C++, in order to apply the thermodynamic model. The model's effectiveness was evaluated using the binary aluminum‐iron system, starting from pure metal diffusion couples and simulating interdiffusion until complete mixing under varying conditions. It is shown that the thermodynamic model accurately predicts phase changes and the formation of intermetallic phases using only a singular global diffusion coefficient valid for both components and all phases. The model's application to complex geometries is demonstrated on the alloying of an interpenetrating composite.
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Research context

OpenAlex topics: Intermetallics and Advanced Alloy Properties · High Temperature Alloys and Creep · Solidification and crystal growth phenomena

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Institut für Werkstoffkunde (Materials Science) Garbsen Germany

Fakultät Informatik Technische Universität Dortmund Dortmund Germany

Funding

Deutsche Forschungsgemeinschaft

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