Multiscale analysis of material stability based on time series clustering method (K-Shape)

Abstract

We attempt here to identify and visualize the governing pieces of information about the evolving inhomogeneities that ultimately brings about system-wise instabilities (e.g., fracture modes) by cluster analysis based on “K-Shape” clustering method. Time-series data are analyzed, i.e., the incompatibility, dislocation density and the strain energy fluctuation, against two representative simulation results reported so far for FCC single crystal models yielding stable or unstable deformation modes, respectively. Since the elastic strain energy fluctuation exhibited clearer distinctions between regions to be and not to be unstabilized among others, the clustered data are further utilized to visualize the incompatibility and the dislocation density contours.