Machine Learning Models of Plastic Flow Based on Representation Theory

Jones, R. E.; Templeton, J. A.; Sanders, C. M.; Ostien, J. T.

doi:10.31614/cmes.2018.04285

Title: Machine Learning Models of Plastic Flow Based on Representation Theory

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Abstract

We use machine learning (ML) to infer stress and plastic flow rules using data from representative polycrystalline simulations. In particular, we use so-called deep (multilayer) neural networks (NN) to represent the two response functions. The ML process does not choose appropriate inputs or outputs, rather it is trained on selected inputs and output. Likewise, its discrimination of features is crucially connected to the chosen input-output map. Furthermore, we draw upon classical constitutive modeling to select inputs and enforce well-accepted symmetries and other properties. With these developments, we enable rapid model building in real-time with experiments, and guide data collection and feature discovery.

Authors:

Jones, R. E. ^[1]; Templeton, J. A. ^[2]; Sanders, C. M. ^[2]; Ostien, J. T. ^[1]

Sandia National Lab. (SNL-CA), Livermore, CA (United States). Mechanics of Materials Dept.
Sandia National Lab. (SNL-CA), Livermore, CA (United States). Thermal/Fluid Science and Engineering Dept.

Publication Date:: 2018-12-29

Research Org.:: Sandia National Lab. (SNL-CA), Livermore, CA (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA); SNL Laboratory Directed Research and Development (LDRD) Program

OSTI Identifier:: 1502970

Report Number(s):: SAND-2019-2905J
Journal ID: ISSN 1526-1492; 673466

Grant/Contract Number:: NA0003525

Resource Type:: Accepted Manuscript

Journal Name:: Computer Modeling in Engineering & Sciences

Additional Journal Information:: Journal Volume: 117; Journal Issue: 3; Journal ID: ISSN 1526-1492

Publisher:: Tech Science Press

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING; 42 ENGINEERING; machine learning; neural network; plasticity

Citation Formats


                    Jones, R. E., Templeton, J. A., Sanders, C. M., and Ostien, J. T. Machine Learning Models of Plastic Flow Based on Representation Theory.  United States: N. p., 2018. 
        Web.  doi:10.31614/cmes.2018.04285.

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                    Jones, R. E., Templeton, J. A., Sanders, C. M., & Ostien, J. T. Machine Learning Models of Plastic Flow Based on Representation Theory.  United States.  doi:https://doi.org/10.31614/cmes.2018.04285

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                    Jones, R. E., Templeton, J. A., Sanders, C. M., and Ostien, J. T. Sat .  
        "Machine Learning Models of Plastic Flow Based on Representation Theory".  United States.  doi:https://doi.org/10.31614/cmes.2018.04285.  https://www.osti.gov/servlets/purl/1502970.

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@article{osti_1502970,

  title        = {Machine Learning Models of Plastic Flow Based on Representation Theory},

  author       = {Jones, R. E. and Templeton, J. A. and Sanders, C. M. and Ostien, J. T.},

  abstractNote = {We use machine learning (ML) to infer stress and plastic flow rules using data from representative polycrystalline simulations. In particular, we use so-called deep (multilayer) neural networks (NN) to represent the two response functions. The ML process does not choose appropriate inputs or outputs, rather it is trained on selected inputs and output. Likewise, its discrimination of features is crucially connected to the chosen input-output map. Furthermore, we draw upon classical constitutive modeling to select inputs and enforce well-accepted symmetries and other properties. With these developments, we enable rapid model building in real-time with experiments, and guide data collection and feature discovery.},

  doi          = {10.31614/cmes.2018.04285},

  journal      = {Computer Modeling in Engineering & Sciences},

  number       = 3,

  volume       = 117,

  place        = {United States},

  year         = {2018},

  month        = {12}

}

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