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      Self-supervised learning and prediction of microstructure evolution with convolutional recurrent neural networks

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          Summary

          Microstructural evolution is a key aspect of understanding and exploiting the processing-structure-property relationship of materials. Modeling microstructure evolution usually relies on coarse-grained simulations with evolution principles described by partial differential equations (PDEs). Here we demonstrate that convolutional recurrent neural networks can learn the underlying physical rules and replace PDE-based simulations in the prediction of microstructure phenomena. Neural nets are trained by self-supervised learning with image sequences from simulations of several common processes, including plane-wave propagation, grain growth, spinodal decomposition, and dendritic crystal growth. The trained networks can accurately predict both short-term local dynamics and long-term statistical properties of microstructures assessed herein and are capable of extrapolating beyond the training datasets in spatiotemporal domains and configurational and parametric spaces. Such a data-driven approach offers significant advantages over PDE-based simulations in time-stepping efficiency and offers a useful alternative, especially when the material parameters or governing PDEs are not well determined.

          Highlights

          • A convolutional recurrent neural net is trained to predict microstructure evolution

          • The model accurately predicts short-term dynamics and long-term statistical properties

          • It is significantly more efficient than the traditional PDE-based modeling approaches

          • It can predict microstructure evolution based on incomplete information of systems

          The bigger picture

          Material microstructures are small structural features intermediate between atoms and macroscopic products with often decisive impact on the performance of engineering materials. A major goal of modern materials science is to improve material properties through the control of microstructure evolution during material processing and service. Microstructure evolution is traditionally simulated by continuum models based on partial differential equations. Here we demonstrate that convolutional recurrent neural networks, a type of machine-learning method, can be trained to predict various microstructure evolution phenomena with significantly improved efficiency. The method can learn the evolution rules from microstructure image sequences and make reliable predictions even with incomplete information about the systems or underlying mechanisms. This work illustrates the increasing power of data-driven approaches to address the computational challenges in microstructure modeling.

          Abstract

          Material microstructure plays a key role in the processing-structure-property relationship of engineering materials. Microstructure evolution is commonly simulated by computationally expensive continuum models. Yang et al. apply convolution recurrent neural networks to learn and predict several microstructure evolution phenomena of different complexities. The method is significantly faster than the traditional approach and capable of predicting the evolution process in systems with unknown material parameters. It provides a useful data-driven alternative to microstructure simulation.

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          Most cited references121

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          Long Short-Term Memory

          Learning to store information over extended time intervals by recurrent backpropagation takes a very long time, mostly because of insufficient, decaying error backflow. We briefly review Hochreiter's (1991) analysis of this problem, then address it by introducing a novel, efficient, gradient-based method called long short-term memory (LSTM). Truncating the gradient where this does not do harm, LSTM can learn to bridge minimal time lags in excess of 1000 discrete-time steps by enforcing constant error flow through constant error carousels within special units. Multiplicative gate units learn to open and close access to the constant error flow. LSTM is local in space and time; its computational complexity per time step and weight is O(1). Our experiments with artificial data involve local, distributed, real-valued, and noisy pattern representations. In comparisons with real-time recurrent learning, back propagation through time, recurrent cascade correlation, Elman nets, and neural sequence chunking, LSTM leads to many more successful runs, and learns much faster. LSTM also solves complex, artificial long-time-lag tasks that have never been solved by previous recurrent network algorithms.
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            Image Quality Assessment: From Error Visibility to Structural Similarity

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              Physics-Informed Neural Networks: A Deep Learning Framework for Solving Forward and Inverse Problems Involving Nonlinear Partial Differential Equations

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                Author and article information

                Contributors
                Journal
                Patterns (N Y)
                Patterns (N Y)
                Patterns
                Elsevier
                2666-3899
                22 April 2021
                14 May 2021
                22 April 2021
                : 2
                : 5
                : 100243
                Affiliations
                [1 ]Department of Materials Science and NanoEngineering, Rice University, Houston, TX 77005, USA
                [2 ]Physical and Life Sciences Directorate, Lawrence Livermore National Laboratory, Livermore, CA 94550, USA
                Author notes
                []Corresponding author mt20@ 123456rice.edu
                [∗∗ ]Corresponding author zhou6@ 123456llnl.gov
                [3]

                Lead contact

                Article
                S2666-3899(21)00063-5 100243
                10.1016/j.patter.2021.100243
                8134942
                34036288
                3c666c65-27a6-442e-85cb-ef9bbf2b5c8f
                © 2021 The Authors

                This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

                History
                : 15 November 2020
                : 2 March 2021
                : 30 March 2021
                Categories
                Article

                microstructure,time evolution,machine learning,recurrent neural network,convolution neural network,phase field simulations,partial differential equations

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