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Reconstruction of Composite Stiffness Matrix with Array-Guided Wave-Based Genetic Algorithm

Accurate measurement of the material parameters of composite in a nondestructive manner is of great significance for evaluating mechanical performance. This study proposes to use a genetic algorithm (GA) to reconstruct the stiffness matrix of carbon fiber reinforced polymer (CFRP) with array-guided...

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Autores principales: Liu, Menglong, Zhang, Yaohui, Li, Lun, Chen, Gongfa, Cui, Fangsen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9781181/
https://www.ncbi.nlm.nih.gov/pubmed/36556523
http://dx.doi.org/10.3390/ma15248715
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author Liu, Menglong
Zhang, Yaohui
Li, Lun
Chen, Gongfa
Cui, Fangsen
author_facet Liu, Menglong
Zhang, Yaohui
Li, Lun
Chen, Gongfa
Cui, Fangsen
author_sort Liu, Menglong
collection PubMed
description Accurate measurement of the material parameters of composite in a nondestructive manner is of great significance for evaluating mechanical performance. This study proposes to use a genetic algorithm (GA) to reconstruct the stiffness matrix of carbon fiber reinforced polymer (CFRP) with array-guided wave (GW)-based GA. By comparing the numerically calculated GW dispersion curves with the experimental wave number-frequency contour calculated with a two-dimensional Fourier transform (2D-FFT), the matching coefficient is directly obtained as the objective function of the GA, avoiding the overhead of sorting out the respective GW modes. Then the measured stiffness matrix with tensile testing and the longitudinal wave in the unidirectional CFRP is compared with the reconstructed parameters from unidirectional, cross-ply, and quasi-isotropic CFRPs with the GA. For the four independent parameters, excluding [Formula: see text] , an average value of 11.62% for the maximum deviation is achieved among the CFRPs with three stacking sequences, and an average deviation of 11.03% in unidirectional CFRPs is achieved for the parameters measured with different methods. A further correction of fiber orientation results in a relative deviation of only 2.72% for the elastic modulus along the tensile direction, and an expansion of the GW frequency range for the GA narrows down the relative deviation of [Formula: see text] to 3.9%. The proposed GW-based GA opens up a way of in situ and nondestructive measurement for the composite stiffness matrix.
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spelling pubmed-97811812022-12-24 Reconstruction of Composite Stiffness Matrix with Array-Guided Wave-Based Genetic Algorithm Liu, Menglong Zhang, Yaohui Li, Lun Chen, Gongfa Cui, Fangsen Materials (Basel) Article Accurate measurement of the material parameters of composite in a nondestructive manner is of great significance for evaluating mechanical performance. This study proposes to use a genetic algorithm (GA) to reconstruct the stiffness matrix of carbon fiber reinforced polymer (CFRP) with array-guided wave (GW)-based GA. By comparing the numerically calculated GW dispersion curves with the experimental wave number-frequency contour calculated with a two-dimensional Fourier transform (2D-FFT), the matching coefficient is directly obtained as the objective function of the GA, avoiding the overhead of sorting out the respective GW modes. Then the measured stiffness matrix with tensile testing and the longitudinal wave in the unidirectional CFRP is compared with the reconstructed parameters from unidirectional, cross-ply, and quasi-isotropic CFRPs with the GA. For the four independent parameters, excluding [Formula: see text] , an average value of 11.62% for the maximum deviation is achieved among the CFRPs with three stacking sequences, and an average deviation of 11.03% in unidirectional CFRPs is achieved for the parameters measured with different methods. A further correction of fiber orientation results in a relative deviation of only 2.72% for the elastic modulus along the tensile direction, and an expansion of the GW frequency range for the GA narrows down the relative deviation of [Formula: see text] to 3.9%. The proposed GW-based GA opens up a way of in situ and nondestructive measurement for the composite stiffness matrix. MDPI 2022-12-07 /pmc/articles/PMC9781181/ /pubmed/36556523 http://dx.doi.org/10.3390/ma15248715 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Liu, Menglong
Zhang, Yaohui
Li, Lun
Chen, Gongfa
Cui, Fangsen
Reconstruction of Composite Stiffness Matrix with Array-Guided Wave-Based Genetic Algorithm
title Reconstruction of Composite Stiffness Matrix with Array-Guided Wave-Based Genetic Algorithm
title_full Reconstruction of Composite Stiffness Matrix with Array-Guided Wave-Based Genetic Algorithm
title_fullStr Reconstruction of Composite Stiffness Matrix with Array-Guided Wave-Based Genetic Algorithm
title_full_unstemmed Reconstruction of Composite Stiffness Matrix with Array-Guided Wave-Based Genetic Algorithm
title_short Reconstruction of Composite Stiffness Matrix with Array-Guided Wave-Based Genetic Algorithm
title_sort reconstruction of composite stiffness matrix with array-guided wave-based genetic algorithm
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9781181/
https://www.ncbi.nlm.nih.gov/pubmed/36556523
http://dx.doi.org/10.3390/ma15248715
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AT lilun reconstructionofcompositestiffnessmatrixwitharrayguidedwavebasedgeneticalgorithm
AT chengongfa reconstructionofcompositestiffnessmatrixwitharrayguidedwavebasedgeneticalgorithm
AT cuifangsen reconstructionofcompositestiffnessmatrixwitharrayguidedwavebasedgeneticalgorithm