Generating polycrystalline microstructures with prescribed tensorial texture coefficients

This work is concerned with synthetic microstructure models of polycrystalline materials. Once a representation of the microstructure is generated, the individual grains need to be furnished with suitable crystal orientations, matching a specific crystal orientation distribution. We introduce a novel method for this task, which permits to prescribe the orientations based on tensorial Fourier coefficients. This compact representation gives rise to the texture coefficient optimization for prescribing orientations method, enabling the determination of representative orientations for digital polycrystalline microstructures. We compare the proposed method to established and dedicated algorithms in terms of the linear elastic as well as the non-linear plastic behavior of a polycrystalline material.

Automated summary

This work focuses on synthetic microstructure models of polycrystalline materials. A novel method is introduced to prescribe the orientations of individual grains based on tensorial Fourier coefficients. The proposed method allows for the determination of representative orientations for digital polycrystalline microstructures. The method is compared to established algorithms in terms of the material's linear elastic and non-linear plastic behavior.