A framework to determine higher-scale constitutive laws as functions of microstructural properties is developed for Ni-based superalloy Rene88-DT Œ≥-Œ≥‚Äô microstructures and is generalizable to most multiscale problems. A dislocation density-based crystal plasticity finite element model, at the scale of subgrain microstructures containing Œ≥‚Äô-precipitates in a Œ≥-matrix within a single crystal, is implemented to incorporate micromechanical effects of precipitate-precipitate interactions. This model is complemented with a stochastic, statistically-equivalent microstructure generator that instantiates meshed microstructures from distributions of subgrain morphological descriptors. These instantiations are embedded in a homogenized medium and simulated with the crystal plasticity model, employing a handshake region to accurately capture evolving boundary conditions near the homogeneous-heterogeneous boundary. Self-consistency is achieved through a directed search of the parameter space of the homogenized model, informed by a reduced-order machine learning methodology. This framework effectively incorporates the lower-scale mechanics into the higher-scale simulation, providing insights into multiscale mechanisms and design implications for materials processing.

Parametrically Homogenized Crystal Plasticity Model for Deformation in Ni-based Superalloys

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