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Title: Data driven modeling of plastic deformation

Journal Article · · Computer Methods in Applied Mechanics and Engineering

In this paper the application of machine learning techniques for the development of constitutive material models is being investigated. A flow stress model, for strain rates ranging from 10–4 to 1012 (quasi-static to highly dynamic), and temperatures ranging from room temperature to over 1000 K, is obtained by beginning directly with experimental stress-strain data for Copper. An incrementally objective and fully implicit time integration scheme is employed to integrate the hypo-elastic constitutive model, which is then implemented into a finite element code for evaluation. Accuracy and performance of the flow stress models derived from symbolic regression are assessed by comparison to Taylor anvil impact data. The results obtained with the free-form constitutive material model are compared to well-established strength models such as the Preston-Tonks-Wallace (PTW) model and the Mechanical Threshold Stress (MTS) model. Here, preliminary results show candidate free-form models comparing well with data in regions of stress-strain space with sufficient experimental data, pointing to a potential means for both rapid prototyping in future model development, as well as the use of machine learning in capturing more data as a guide for more advanced model development.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1345168
Report Number(s):
LA-UR-16-27745
Journal Information:
Computer Methods in Applied Mechanics and Engineering, Vol. 318, Issue C; ISSN 0045-7825
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 39 works
Citation information provided by
Web of Science

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Cited By (9)

Perspectives on the Impact of Machine Learning, Deep Learning, and Artificial Intelligence on Materials, Processes, and Structures Engineering journal August 2018
Modeling Macroscopic Material Behavior With Machine Learning Algorithms Trained by Micromechanical Simulations journal August 2019
Application of artificial neural networks for the prediction of interface mechanics: a study on grain boundary constitutive behavior journal January 2020
A data-driven computational homogenization method based on neural networks for the nonlinear anisotropic electrical response of graphene/polymer nanocomposites journal October 2018
Prediction of stress-strain curves for aluminium alloys using symbolic regression
  • Kabliman, Evgeniya; Kolody, Ana Helena; Kommenda, Michael
  • PROCEEDINGS OF THE 22ND INTERNATIONAL ESAFORM CONFERENCE ON MATERIAL FORMING: ESAFORM 2019, AIP Conference Proceedings https://doi.org/10.1063/1.5112747
conference January 2019
Application of artificial neural networks for the prediction of interface mechanics: a study on grain boundary constitutive behavior text January 2020
Data-driven computation for history-dependent materials journal November 2019
Shape-constrained Symbolic Regression -- Improving Extrapolation with Prior Knowledge text January 2021
Meta-modeling game for deriving theory-consistent, microstructure-based traction–separation laws via deep reinforcement learning text January 2019

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