Multiscale studies on the nonlinear vibration of delaminated composite laminates–global vibration mode with micro buckles on the interfaces

Abstract This paper presents a multiscale approach to study the nonlinear vibration of fiber reinforced composite laminates containing an embedded, through-width delamination dividing the laminate into four sub-laminates. The equations of motion are established from macroscopic nonlinear mechanics f...

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Autores principales: Jianghong Xue, Fei Xia, Jun Ye, Jianwen Zhang, Shuhua Chen, Ying Xiong, Zuyuan Tan, Renhuai Liu, Hong Yuan
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Publicado: Nature Portfolio 2017
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Acceso en línea:https://doaj.org/article/0c169658962147469f246b1722574ebf
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spelling oai:doaj.org-article:0c169658962147469f246b1722574ebf2021-12-02T15:06:18ZMultiscale studies on the nonlinear vibration of delaminated composite laminates–global vibration mode with micro buckles on the interfaces10.1038/s41598-017-04570-32045-2322https://doaj.org/article/0c169658962147469f246b1722574ebf2017-06-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-04570-3https://doaj.org/toc/2045-2322Abstract This paper presents a multiscale approach to study the nonlinear vibration of fiber reinforced composite laminates containing an embedded, through-width delamination dividing the laminate into four sub-laminates. The equations of motion are established from macroscopic nonlinear mechanics for plates and shells and micro-mechanics of composite material to allow for the influences of large amplitude, membrane stretching in the neutral plane, and the interactions of the sublaminates. Analytical solutions obtained in this paper reveal that the interaction penalty at the interfaces plays a coupling effect between sublaminates, which eventually alters the vibration characters of the four-sublaminate lamina in macroscopic and microscopic mechanism. From a macro perspective, sub-laminates above and below the delamination vibrate in exactly the same mode in spite of their different stiffness and the four-sublaminate lamina has a consistent global vibration mode. In accompanying with the macro vibration, micro buckles occur on the interfaces of the delamination with amplitude about 10−3 times of that of the global mode. It is found that the vibration frequency is an eigenvalue of the delaminated lamina determined only by the geometry of the delamination. Authentication of the multiscale study is fulfilled by comparing the analytical solutions with the FEA results.Jianghong XueFei XiaJun YeJianwen ZhangShuhua ChenYing XiongZuyuan TanRenhuai LiuHong YuanNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-15 (2017)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Jianghong Xue
Fei Xia
Jun Ye
Jianwen Zhang
Shuhua Chen
Ying Xiong
Zuyuan Tan
Renhuai Liu
Hong Yuan
Multiscale studies on the nonlinear vibration of delaminated composite laminates–global vibration mode with micro buckles on the interfaces
description Abstract This paper presents a multiscale approach to study the nonlinear vibration of fiber reinforced composite laminates containing an embedded, through-width delamination dividing the laminate into four sub-laminates. The equations of motion are established from macroscopic nonlinear mechanics for plates and shells and micro-mechanics of composite material to allow for the influences of large amplitude, membrane stretching in the neutral plane, and the interactions of the sublaminates. Analytical solutions obtained in this paper reveal that the interaction penalty at the interfaces plays a coupling effect between sublaminates, which eventually alters the vibration characters of the four-sublaminate lamina in macroscopic and microscopic mechanism. From a macro perspective, sub-laminates above and below the delamination vibrate in exactly the same mode in spite of their different stiffness and the four-sublaminate lamina has a consistent global vibration mode. In accompanying with the macro vibration, micro buckles occur on the interfaces of the delamination with amplitude about 10−3 times of that of the global mode. It is found that the vibration frequency is an eigenvalue of the delaminated lamina determined only by the geometry of the delamination. Authentication of the multiscale study is fulfilled by comparing the analytical solutions with the FEA results.
format article
author Jianghong Xue
Fei Xia
Jun Ye
Jianwen Zhang
Shuhua Chen
Ying Xiong
Zuyuan Tan
Renhuai Liu
Hong Yuan
author_facet Jianghong Xue
Fei Xia
Jun Ye
Jianwen Zhang
Shuhua Chen
Ying Xiong
Zuyuan Tan
Renhuai Liu
Hong Yuan
author_sort Jianghong Xue
title Multiscale studies on the nonlinear vibration of delaminated composite laminates–global vibration mode with micro buckles on the interfaces
title_short Multiscale studies on the nonlinear vibration of delaminated composite laminates–global vibration mode with micro buckles on the interfaces
title_full Multiscale studies on the nonlinear vibration of delaminated composite laminates–global vibration mode with micro buckles on the interfaces
title_fullStr Multiscale studies on the nonlinear vibration of delaminated composite laminates–global vibration mode with micro buckles on the interfaces
title_full_unstemmed Multiscale studies on the nonlinear vibration of delaminated composite laminates–global vibration mode with micro buckles on the interfaces
title_sort multiscale studies on the nonlinear vibration of delaminated composite laminates–global vibration mode with micro buckles on the interfaces
publisher Nature Portfolio
publishDate 2017
url https://doaj.org/article/0c169658962147469f246b1722574ebf
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