Data-Driven Multiscale Prediction of Material Properties Using Machine Learning Algorithms

Moonseop Kim, Purdue University

Abstract

The objective of this study is that combination of molecular dynamics (MD) simulations and machine learning to complement each other. In this study, four steps are conducted. First is based on the empirical potentials development in silicon nanowires for theory parts of molecular dynamics. Many-body empirical potentials have been developed for the last three decades, and with the advance of supercomputers, these potentials are expected to be even more useful for the next three decades. Atomistic calculations using empirical potentials can be particularly useful in understanding the structural aspects of Si or Si-H systems, however, existing empirical potentials have many errors of parameters. We propose a novel technique to understand and construct interatomic potentials with an emphasis on parameter fitting, in which the relationship between material properties and potential parameters is explained. The input database has been obtained from density functional theory (DFT) calculations with the Vienna ab initio simulation package (VASP) using the projector augmented-wave method within the generalized gradient approximation. The DFT data are used in the fitting process to guarantee the compatibility within the context of multiscale modeling. Second, application part of MD simulations, enhancement of mechanical properties was focused in this research by using MEAM potentials. For instance, Young’s modulus, ultimate tensile strength, true strain, true stress and stress-strain relationship were calculated for nanosized Cu-precipitates using quenching & partitioning (Q&P) processing and nanosized Fe@C strengthened ultrafine-grained (UFG) ferritic steel. In the stress-strain relationship, the structure of simulation is defined using the constant total number of particles, constant-energy, constantvolume ensemble (NVE) is pulled in the y-direction, or perpendicular to the boundary interface, to increase strain. The strain in increased for a specified number of times in a loop and the stress is calculated at each point before the simulation loops. Third, based on the MD simulations, machine learning and the peridynamics are applied to prediction of disk damage patterns. The peridynamics is the nonlocal extension of classical continuum mechanics and same as MD model. Especially, FEM is based on the partial differential equations, however, partial derivatives do not exist on crack and damage surfaces. To complement this problem, the peridynamics was used which is based on the integral equations and overcome deficiencies in the modeling of deformation discontinuities. In this study, the forward problem (i), if we have images of damage and crack, crack patterns are predicted by using trained data compared to true solutions which are hit by changing the x and y hitting coordinates on the disk. The inverse problem (ii), if we have images of damage and crack, the corresponding hitting location, indenter velocity and indenter size are predicted by using trained data. Furthermore, we did the regression analysis for the images of the crack patterns with Neural processes to predict the crack patterns. In the regression problem, by representing the results of the variance according to the epochs, it can be confirmed that the result of the variance is decreased by increasing the epoch through the neural processes. Therefore, the result of the training gradually improves, and the ranges of the variance are expressed as 0 to 0.035. The most critical point of this study is that the neural processes makes an accurate prediction even if the information of the training data is missing or not enough.

Degree

Ph.D.

Advisors

Lin, Purdue University.

Subject Area

Energy|Mechanics|Artificial intelligence|Atomic physics|Materials science|Mathematics|Nanotechnology|Nuclear engineering|Physics

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