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Deep learning predicts path-dependent plasticity

delete2019-12-16
delete370
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OA
AI
M
Mojtaba Mozaffar
R
Ramin Bostanabad
W
W. Chen
K
Kornel F. Ehmann
J
Jian Cao *
M
Miguel A. Bessa *
DOI:10.1073/pnas.1911815116delete
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Abstract

Abstract

En 中文
Plasticity theory aims at describing the yield loci and work hardening of a material under general deformation states. Most of its complexity arises from the nontrivial dependence of the yield loci on the complete strain history of a material and its microstructure. This motivated 3 ingenious simplifications that underpinned a century of developments in this field: 1) yield criteria describing yield loci location; 2) associative or nonassociative flow rules defining the direction of plastic flow; and 3) effective stress-strain laws consistent with the plastic work equivalence principle. However, 2 key complications arise from these simplifications. First, finding equations that describe these 3 assumptions for materials with complex microstructures is not trivial. Second, yield surface evolution needs to be traced iteratively, i.e., through a return mapping algorithm. Here, we show that these assumptions are not needed in the context of sequence learning when using recurrent neural networks, diverting the above-mentioned complications. This work offers an alternative to currently established plasticity formulations by providing the foundations for finding history- and microstructure-dependent constitutive models through deep learning.
Keywords:
deep learning
data-driven modeling
recurrent neural network
plasticity
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Journal

P
Proceedings of the National Academy of Sciences of the United States of America
IF:
9.1
Papers:
10.8W
Citations:
73.5W

Organization

U
university of california irvine
Scholars:
2.3W
Papers: 1.7W
Citations: 55
N
Northwestern University
Scholars:
6.1W
Papers: 5.3W
Citations: 3.9K