Data-driven computational mechanics have been used in the field of multiscale analysis where the constitutive modeling of composites is obtained by learning the material database obtained experimentally or numerically, using artificial neural network (ANN). In this paper, we present a data-driven multiscale analysis by combining the cluster-based non-uniform transformation field analysis (CNTFA), a reduced order model for the numerical homogenization of composites with periodically arranged microstructure, with ANN. Here, the CNTFA which was developed by the authors is efficient reduced order model for multiscale analysis of different nonlinear composites. Feed-forward neural network, a neural network is designed and trained for calculating the material stiffness and reproducing the microscale field quantities. The stiffness of homogenized material is approximately calculated using the gradient of ANN and strain concentration tensor. The proposed method can be effectively used in reproduction of field information (e.g. strain and stress) at the microscale as well as the analysis of structures at the macroscale. This property is distinguished with other cluster based methods such as SCA, VCA, FCA, in which the field information is reproduced at cluster level, not microscale level. An example calculation of three-point bending beam shows that the proposed method is very effective for the multiscale analysis of nonlinear composite structures.
| Published in | Science Frontiers (Volume 6, Issue 4) |
| DOI | 10.11648/j.sf.20250604.11 |
| Page(s) | 122-132 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2025. Published by Science Publishing Group |
ANN, Data-driven Computational Mechanics, Cluster-based Non-uniform Transformation Field Analysis, Reproduction
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APA Style
Ri, U., Ri, J., Hong, H., Kim, Y., Ri, J. (2025). A Data-driven Multiscale Analysis by Combination of Cluster-based Non-uniform Transformation Field Analysis and Artificial Neural Network. Science Frontiers, 6(4), 122-132. https://doi.org/10.11648/j.sf.20250604.11
ACS Style
Ri, U.; Ri, J.; Hong, H.; Kim, Y.; Ri, J. A Data-driven Multiscale Analysis by Combination of Cluster-based Non-uniform Transformation Field Analysis and Artificial Neural Network. Sci. Front. 2025, 6(4), 122-132. doi: 10.11648/j.sf.20250604.11
AMA Style
Ri U, Ri J, Hong H, Kim Y, Ri J. A Data-driven Multiscale Analysis by Combination of Cluster-based Non-uniform Transformation Field Analysis and Artificial Neural Network. Sci Front. 2025;6(4):122-132. doi: 10.11648/j.sf.20250604.11
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Download@article{10.11648/j.sf.20250604.11,
author = {Un-Il Ri and Jun-Hyok Ri and Hyon-Sik Hong and Yong-Chol Kim and Jin-Chol Ri},
title = {A Data-driven Multiscale Analysis by Combination of Cluster-based Non-uniform Transformation Field Analysis and Artificial Neural Network
},
journal = {Science Frontiers},
volume = {6},
number = {4},
pages = {122-132},
doi = {10.11648/j.sf.20250604.11},
url = {https://doi.org/10.11648/j.sf.20250604.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sf.20250604.11},
abstract = {Data-driven computational mechanics have been used in the field of multiscale analysis where the constitutive modeling of composites is obtained by learning the material database obtained experimentally or numerically, using artificial neural network (ANN). In this paper, we present a data-driven multiscale analysis by combining the cluster-based non-uniform transformation field analysis (CNTFA), a reduced order model for the numerical homogenization of composites with periodically arranged microstructure, with ANN. Here, the CNTFA which was developed by the authors is efficient reduced order model for multiscale analysis of different nonlinear composites. Feed-forward neural network, a neural network is designed and trained for calculating the material stiffness and reproducing the microscale field quantities. The stiffness of homogenized material is approximately calculated using the gradient of ANN and strain concentration tensor. The proposed method can be effectively used in reproduction of field information (e.g. strain and stress) at the microscale as well as the analysis of structures at the macroscale. This property is distinguished with other cluster based methods such as SCA, VCA, FCA, in which the field information is reproduced at cluster level, not microscale level. An example calculation of three-point bending beam shows that the proposed method is very effective for the multiscale analysis of nonlinear composite structures.
},
year = {2025}
}
TY - JOUR T1 - A Data-driven Multiscale Analysis by Combination of Cluster-based Non-uniform Transformation Field Analysis and Artificial Neural Network AU - Un-Il Ri AU - Jun-Hyok Ri AU - Hyon-Sik Hong AU - Yong-Chol Kim AU - Jin-Chol Ri Y1 - 2025/09/26 PY - 2025 N1 - https://doi.org/10.11648/j.sf.20250604.11 DO - 10.11648/j.sf.20250604.11 T2 - Science Frontiers JF - Science Frontiers JO - Science Frontiers SP - 122 EP - 132 PB - Science Publishing Group SN - 2994-7030 UR - https://doi.org/10.11648/j.sf.20250604.11 AB - Data-driven computational mechanics have been used in the field of multiscale analysis where the constitutive modeling of composites is obtained by learning the material database obtained experimentally or numerically, using artificial neural network (ANN). In this paper, we present a data-driven multiscale analysis by combining the cluster-based non-uniform transformation field analysis (CNTFA), a reduced order model for the numerical homogenization of composites with periodically arranged microstructure, with ANN. Here, the CNTFA which was developed by the authors is efficient reduced order model for multiscale analysis of different nonlinear composites. Feed-forward neural network, a neural network is designed and trained for calculating the material stiffness and reproducing the microscale field quantities. The stiffness of homogenized material is approximately calculated using the gradient of ANN and strain concentration tensor. The proposed method can be effectively used in reproduction of field information (e.g. strain and stress) at the microscale as well as the analysis of structures at the macroscale. This property is distinguished with other cluster based methods such as SCA, VCA, FCA, in which the field information is reproduced at cluster level, not microscale level. An example calculation of three-point bending beam shows that the proposed method is very effective for the multiscale analysis of nonlinear composite structures. VL - 6 IS - 4 ER -
Institute of Mechanics, State Academy of Sciences, Pyongyang, Democratic People's Republic of Korea
Department of Coal Mining Construction Engineering, Pyongsong University of Coal Mining, Pyongsong, Democratic People's Republic of Korea
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