Research on the polycrystalline modeling method for complex parts based on frenet coordinate system

Abstract The internal microstructure distribution trend of many components after the deformation process is consistent with the overall morphology of the components. For example, for components that undergo bending deformation, sometimes there may be phenomena of grain bending and elongation along the deformation direction. At present, the methods for constructing polycrystalline models are mainly based on Cartesian coordinate systems. Polycrystalline models generated using such coordinate systems are mostly linearly arranged and cannot reflect the matching between microstructure distribution and component morphology. To address this problem, this study introduces the Frenet coordinate system, which can accurately describe the geometric characteristics of curves, and proposes an improved modelling algorithm. This improved algorithm is achieved by combining the SSP method with the Frenet coordinate system, and it enables the generation of polycrystalline models that conform to curved and non-linear geometries. Comparative analyses show that the proposed method significantly improves the structural fidelity of grains in complex components, thereby enhancing the accuracy of subsequent computational simulations. This advancement is expected to be applied to material design and performance prediction of complex geometrically engineered systems.