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Description
In order to meet the high demands on usability, structural components in the aerospace and automotive industries are typically made from high performance metals. Throughout the life-cycle of a component, from its manufacturing to its application, the respective material behavior is strongly influenced not only by mechanical but also by thermal loads, which may for example lead to phase transformations [1]. The overall material behavior depends on the properties of the underlying microstructure, which is typically polycrystalline and whose complexity is defined by the distribution, size and orientation of the individual grains. In general, a two-scale simulation approach allows to predict the overall material behavior while taking into account a highly resolved simulation of the microstructural behavior. In this context, the FE-FFT-based two-scale method [2], combining the finite element (FE) method on the macroscale with a fast Fourier transform (FFT)-based simulation technique on the microscale, serves as an efficient alternative to the classical FE² approach for the simulation of periodic microstructures. We present the extension of an efficient FE-FFT-based two-scale simulation framework for the investigation of purely mechanical boundary value problems [3] to a fully thermo-mechanically coupled framework [4] which accounts for both thermal and mechanical influences. This simulation approach will be used to model the material behavior of polycrystalline metals, taking into account microstructural phenomena such as crystal plasticity or phase transformations. To demonstrate the feasibility of the proposed simulation framework, several numerical examples are presented.
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[1] Waimann, J. \& Reese, S. (2022). Variational modeling of temperature induced and cooling-rate dependent phase transformations in polycrystalline steel. Mechanics of Materials, Vol. 170, 104299
[2] Spahn, J., Andrä, H., Kabel, M., & Müller, R. (2014). A multiscale approach for modeling progressive damage of composite materials using fast Fourier transforms. Computer Methods in Applied Mechanics and Engineering, Vol. 268, pp. 871-883
[3] Gierden, C., Kochmann, J., Waimann, J., Kinner-Becker, T., Sölter, J., Svendsen, B., & Reese, S. (2021). Efficient two-scale FE-FFT-based mechanical process simulation of elasto-viscoplastic polycrystals at finite strains. Computer Methods in Applied Mechanics and Engineering, Vol. 374, 113566
[4] Schmidt, A., Gierden, C., Fechte-Heinen, R., Reese, S., & Waimann, J. (2024). Efficient thermo-mechanically coupled and geometrically nonlinear two-scale FE-FFT-based modeling of elasto-viscoplastic polycrystalline materials. Computer Methods in Applied Mechanics and Engineering, Vol. 435, 117648
