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Robust deep learning framework for constitutive relations modeling

delete2023-08-01
delete8
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OA
AI
Q
Qing‐Jie Li
M
Mahmut Nedim Cinbiz
张隐 封面图
张隐 (Yin Zhang)
Q
Qi He
G
Geoffrey Beausoleil
李菊英 封面图
李菊英 (Ju Li) *
DOI:10.1016/j.actamat.2023.118959delete
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摘要

摘要

En 中文
Modeling the full-range deformation behaviors of materials under complex loading and materials conditions is a significant challenge for constitutive relations (CRs) modeling. We propose a general encoder-decoder deep learning framework that can model high-dimensional stress-strain data and complex loading histories with robustness and universal capability. The framework employs an encoder to project high-dimensional input information (e.g., loading history, loading conditions, and materials information) to a lower-dimensional hidden space and a decoder to map the hidden representation to the stress of interest. We evaluated various encoder architectures, including gated recurrent unit (GRU), GRU with attention, temporal convolutional network (TCN), and the Transformer encoder, on two complex stress-strain datasets that were designed to include a wide range of complex loading histories and loading conditions. All architectures achieved excellent test results with an rootmean-square error (RMSE) below 1 MPa. Additionally, we analyzed the capability of the different architectures to make predictions on out-of-domain applications, with an uncertainty estimation based on deep ensembles. The proposed approach provides a robust alternative to empirical/semi-empirical models for CRs modeling, offering the potential for more accurate and efficient materials design and optimization.
Keyword:
Constitutive-relation modeling
Artificial neural network
Machine learning
Materials mechanical behaviors

期刊

Acta Materialia 封面图
Acta Materialia
IF:
9.3
论文数:
2.0W
被引数:
12.9W

机构

U
united states department of energy (doe)
学者数:
11.3W
论文数: 9.6W
被引数: 246
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