Publication

Abstract : We present herein a polynomial chaos-Kriging (PC-Kriging)-based molecular dynamics (MD) simulation framework of twisted bilayer graphene (tBLG) structures to investigate the influence of stochastic parametric variations on their nano-indentation behaviour. The relative rotation angle (RRA) and operating temperature were taken as input parameters, which were randomly distributed in the ranges 0–30° and 100–900 K, respectively. Considering Monte Carlo sampling (MCS), a series of MD simulations of nano-indentation was performed to obtain the critical indentation force (Fcr) and critical indentation depth (δcr) in each instance. The dataset generated by MCS-driven MD simulation was employed to train and validate the PC-Kriging-based metamodel. The generalization capability of the constructed model was ensured by implementing a leave-points-out (LpO) cross-validation scheme, and by minimizing prediction errors by adopting a sufficient size of samples for model training and validation. The constructed computationally efficient PC-Kriging-based metamodel has been used to perform data-driven uncertainty and probabilistic analysis. The hybrid machine-learning-based stochastic nano-indentation behaviour of tBLG structures has been described, considering practically relevant uncertain irregularities in RRA and temperature. The present analysis aims to capture the continuous parametric range of input parameters so as to allow detailed probabilistic investigation of the nano-indentation behaviour of tBLG nanostructures.