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Model-data-driven constitutive responses: Application to a multiscale computational framework

delete2021-10-01
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J
Jan N. Fuhg
C
Christoph Böhm
N
Nikolaos Bouklas
A
Amélie Fau
P
Peter Wriggers
M
Michele Marino *
DOI:10.1016/j.ijengsci.2021.103522delete
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Abstract

Abstract

En 中文
Computational multiscale methods for analyzing and deriving constitutive responses have been used as a tool in engineering problems because of their ability to combine informa-tion at different length scales. However, their application in a nonlinear framework can be limited by high computational costs, numerical difficulties, and/or inaccuracies. In this pa-per, a hybrid methodology is presented which combines classical constitutive laws (model -based), a data-driven correction component, and computational multiscale approaches. A model-based material representation is locally improved with data from lower scales ob-tained by means of a nonlinear numerical homogenization procedure, leading to a model -data-driven approach. Therefore, macroscale simulations explicitly incorporate the true mi-croscale response, maintaining the same level of accuracy that would be obtained with online micro-macro simulations but with a computational cost comparable to classical model-driven approaches. In the proposed approach, both model and data play a funda-mental role allowing for the synergistic integration between a physics-based response and a machine learning black-box. Numerical applications are implemented in two dimensions for different tests investigating both material and structural responses in large deforma-tions. Overall, the presented model-data-driven methodology proves to be more versatile and accurate than methods based on classical model-driven, as well as pure data-driven techniques. In particular, a lower number of training samples is required and robustness is higher than for simulations which solely rely on data. (c) 2021 Elsevier Ltd. All rights reserved.
Keywords:
Model-data-driven
Multiscale simulations
Machine-learning
Computational homogenization
Ordinary kriging
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Journal

International Journal of Engineering Science cover
International Journal of Engineering Science
IF:
5.7
Papers:
4.9K
Citations:
1.1W

Organization

C
centre national de la recherche scientifique (cnrs)
Scholars:
24.5W
Papers: 18.2W
Citations: 279
L
Leibniz University Hannover
Scholars:
1.1W
Papers: 8.5K
Citations: 1.1W
C
Cornell University
Scholars:
6.3W
Papers: 5.4W
Citations: 10.9W
U
Universite Paris Saclay
Scholars:
7.3W
Papers: 5.3W
Citations: 540
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