Spatial prediction of crystalline defects observed in molecular dynamic simulations of plastic damage

Geoffrey Colin L. Peterson, Dong Li, Brian J. Reich and Donald Brenner

Journal of Applied Statistics, 2017, vol. 44, issue 10, 1761-1784

Abstract: Molecular dynamic computer simulation is an essential tool in materials science to study atomic properties of materials in extreme environments and guide development of new materials. We propose a statistical analysis to emulate simulation output with the ultimate goal of efficiently approximating the computationally intensive simulation. We compare several spatial regression approaches including conditional autoregression (CAR), discrete wavelets transform (DWT), and principle components analysis (PCA). The methods are applied to simulation of copper atoms with twin wall and dislocation loop defects, under varying tilt tension angles. We find that CAR and DWT yield accurate results but fail to capture extreme defects, yet PCA better captures defect structure.

Date: 2017
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DOI: 10.1080/02664763.2016.1221915

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