Calibration and surrogate model-based sensitivity analysis of crystal plasticity finite element models

Abstract

Crystal plasticity models are a powerful tool for predicting the deformation behaviour of polycrystalline materials accounting for the underlying grain morphology and texture. These models typically have a large number of parameters, an understanding of which is required to effectively calibrate and apply the model. This study presents a structured framework for the global sensitivity analysis, using Sobol indices, of the effect of crystal plasticity parameters on model outputs. Due to the computational cost of evaluating the crystal plasticity model multiple times within a finite element framework, a Gaussian process regression surrogate model was constructed and used to conduct the sensitivity analysis. Influential parameters from the sensitivity analysis were carried forward for calibration using both a local Nelder-Mead and global differential evolution optimisation algorithm. The results show that the surrogate based global sensitivity analysis is able to efficiently identify influential crystal plasticity parameters and parameter combinations. With a reduced parameter set, both the Nelder-Mead algorithm with multiple runs and the differential evolution algorithm were able to find an optimal parameter set which gives a close calibration of a simulated tensile curve to experimental data. However, only the differential evolutionary algorithm was able to reliably find the global optimum due to the presence of local minima in the calibration objective function.