Efficient multiscale modeling of heterogeneous materials using deep neural networks

verfasst von
Fadi Aldakheel, Elsayed S. Elsayed, Tarek I. Zohdi, Peter Wriggers
Abstract

Material modeling using modern numerical methods accelerates the design process and reduces the costs of developing new products. However, for multiscale modeling of heterogeneous materials, the well-established homogenization techniques remain computationally expensive for high accuracy levels. In this contribution, a machine learning approach, convolutional neural networks (CNNs), is proposed as a computationally efficient solution method that is capable of providing a high level of accuracy. In this work, the data-set used for the training process, as well as the numerical tests, consists of artificial/real microstructural images (“input”). Whereas, the output is the homogenized stress of a given representative volume element RVE . The model performance is demonstrated by means of examples and compared with traditional homogenization methods. As the examples illustrate, high accuracy in predicting the homogenized stresses, along with a significant reduction in the computation time, were achieved using the developed CNN model.

Organisationseinheit(en)
Institut für Baumechanik und Numerische Mechanik
Institut für Kontinuumsmechanik
Externe Organisation(en)
University of California (UCLA)
Typ
Artikel
Journal
Computational mechanics
Band
72
Seiten
155-171
Anzahl der Seiten
17
ISSN
0178-7675
Publikationsdatum
07.2023
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Numerische Mechanik, Meerestechnik, Maschinenbau, Theoretische Informatik und Mathematik, Computational Mathematics, Angewandte Mathematik
Elektronische Version(en)
https://doi.org/10.1007/s00466-023-02324-9 (Zugang: Offen)
 

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