
Field Couplings in Diffusive Processes in Metallic and Non-metallic Materials
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The phenomenon of diffusion, where species move relative to a solid material, is present in various applications such as lithium-ion transport in batteries or oxygen-ion transport in solid oxide fuel cells [1]. Since, the properties of materials can change due to a diffusion process, considering metallic materials exposed to hydrogen [2] or polymer materials exposed to moisture [3], precise diffusion models need to be established. Therefore, the influence of other fields, i.e. thermal influence, on a diffusion process is crucial for accurate predictions of material properties. To account for a thermal coupling, a thermo-chemo-mechanical model is developed. The model is embedded within a geometrically linear theory and considers a linear approach for the elastic behavior. A diffusion equation describes the redistribution of species, where the species flux is coupled to the mechanical and thermal fields. An equation of heat conduction is derived accounting for heat production through mechanical dissipation. The model is implemented using a Finite Element approach with the help of the user-defined element (UEL) subroutine of Abaqus, where the displacement field, the chemical potential and the temperature are used as solution variables. The thermal coupling is investigated for metallic and non-metallic materials with a focus on the local temperature evolution as well as on the influence of non-isothermal conditions on the diffusion process. Special interest is on the cross-coupling between thermal and diffusional fluxes. The study outlines the role of thermal coupling while modeling diffusion phenomena. REFERENCES [1] Claudio V. Di Leo, Elisha Rejovitzky, and Lallit Anand. Diffusion–deformation theory for amorphous silicon anodes: The role of plastic deformation on electrochemical performance. International Journal of Solids and Structures, 67–68:283–296, August 2015. [2] Alexander Dyck, Thomas B¨ohlke, Astrid Pundt, and Stefan Wagner. Phase transformation in the palladium hydrogen system: Effects of boundary conditions on phase stabilities. Scripta Materialia, 247:116117, 2024. Publisher: Pergamon. [3] Loredana Kehrer, Johannes Keursten, Valerian Hirschberg, and Thomas B¨ohlke. Dynamic mechanical analysis of PA 6 under hydrothermal influences and viscoelastic material mod- eling. Journal of Thermoplastic Composite Materials, 36(11):4630–4664, 2023. Publisher: SAGE Publications Ltd.