| Abstract Scope |
Uncertainty quantification (UQ) plays a major role in the verification and validation of computational engineering models and simulations, cements trust, and establishes the predictive capability of forward models. Crystal plasticity finite element method (CPFEM) has been widely used as one of a few ICME toolboxes that allow numerical predictions from microstructure to materials properties and performances. In this work, we apply a mathematically rigorous stochastic collocation method to quantify the uncertainty of the three most commonly used constitutive models in CPFEM, namely phenomenological models (with and without twinning), and dislocation-density-based constitutive models, for three different types of crystal structures, namely face-centered cubic copper, body-centered cubic tungsten, and hexagonal close packing magnesium. Our work not only quantifies the uncertainty of these constitutive models in the stress-strain curve but also analyzes the global sensitivity of the underlying constitutive parameters with respect to the initial yield behavior. |