Multiscale Analysis of Composite Structures with Artificial Neural Network Support for Micromodel Stress Determination

Structures made of heterogeneous materials, such as composites, often require a multiscale approach when their behavior is simulated using the finite element method. By solving the boundary value problem of the macroscale model, for previously homogenized material properties, the resulting stress ma...

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Main Authors: Wacław Kuś, Waldemar Mucha, Iyasu Tafese Jiregna
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/17/1/154
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author Wacław Kuś
Waldemar Mucha
Iyasu Tafese Jiregna
author_facet Wacław Kuś
Waldemar Mucha
Iyasu Tafese Jiregna
author_sort Wacław Kuś
collection DOAJ
description Structures made of heterogeneous materials, such as composites, often require a multiscale approach when their behavior is simulated using the finite element method. By solving the boundary value problem of the macroscale model, for previously homogenized material properties, the resulting stress maps can be obtained. However, such stress results do not describe the actual behavior of the material and are often significantly different from the actual stresses in the heterogeneous microstructure. Finding high-accuracy stress results for such materials leads to time-consuming analyses in both scales. This paper focuses on the application of machine learning to multiscale analysis of structures made of composite materials, to substantially decrease the time of computations of such localization problems. The presented methodology was validated by a numerical example where a structure made of resin epoxy with randomly distributed short glass fibers was analyzed using a computational multiscale approach. Carefully prepared training data allowed artificial neural networks to learn relationships between two scales and significantly increased the efficiency of the multiscale approach.
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spelling doaj.art-2b6586d73827464da85677472a1f95c02024-01-10T15:02:47ZengMDPI AGMaterials1996-19442023-12-0117115410.3390/ma17010154Multiscale Analysis of Composite Structures with Artificial Neural Network Support for Micromodel Stress DeterminationWacław Kuś0Waldemar Mucha1Iyasu Tafese Jiregna2Department of Computational Mechanics and Engineering, Silesian University of Technology, 44-100 Gliwice, PolandDepartment of Computational Mechanics and Engineering, Silesian University of Technology, 44-100 Gliwice, PolandDepartment of Computational Mechanics and Engineering, Silesian University of Technology, 44-100 Gliwice, PolandStructures made of heterogeneous materials, such as composites, often require a multiscale approach when their behavior is simulated using the finite element method. By solving the boundary value problem of the macroscale model, for previously homogenized material properties, the resulting stress maps can be obtained. However, such stress results do not describe the actual behavior of the material and are often significantly different from the actual stresses in the heterogeneous microstructure. Finding high-accuracy stress results for such materials leads to time-consuming analyses in both scales. This paper focuses on the application of machine learning to multiscale analysis of structures made of composite materials, to substantially decrease the time of computations of such localization problems. The presented methodology was validated by a numerical example where a structure made of resin epoxy with randomly distributed short glass fibers was analyzed using a computational multiscale approach. Carefully prepared training data allowed artificial neural networks to learn relationships between two scales and significantly increased the efficiency of the multiscale approach.https://www.mdpi.com/1996-1944/17/1/154multiscale modelingfinite element methodhomogenizationartificial neural networkcomposite materialfiber-reinforced composite
spellingShingle Wacław Kuś
Waldemar Mucha
Iyasu Tafese Jiregna
Multiscale Analysis of Composite Structures with Artificial Neural Network Support for Micromodel Stress Determination
Materials
multiscale modeling
finite element method
homogenization
artificial neural network
composite material
fiber-reinforced composite
title Multiscale Analysis of Composite Structures with Artificial Neural Network Support for Micromodel Stress Determination
title_full Multiscale Analysis of Composite Structures with Artificial Neural Network Support for Micromodel Stress Determination
title_fullStr Multiscale Analysis of Composite Structures with Artificial Neural Network Support for Micromodel Stress Determination
title_full_unstemmed Multiscale Analysis of Composite Structures with Artificial Neural Network Support for Micromodel Stress Determination
title_short Multiscale Analysis of Composite Structures with Artificial Neural Network Support for Micromodel Stress Determination
title_sort multiscale analysis of composite structures with artificial neural network support for micromodel stress determination
topic multiscale modeling
finite element method
homogenization
artificial neural network
composite material
fiber-reinforced composite
url https://www.mdpi.com/1996-1944/17/1/154
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AT waldemarmucha multiscaleanalysisofcompositestructureswithartificialneuralnetworksupportformicromodelstressdetermination
AT iyasutafesejiregna multiscaleanalysisofcompositestructureswithartificialneuralnetworksupportformicromodelstressdetermination