Multiple Equilibria and Buckling of Functionally Graded Graphene Nanoplatelet-Reinforced Composite Arches with Pinned-Fixed End
This paper presents an analytical study on the multiple equilibria and buckling of pinned-fixed functionally graded graphene nanoplatelet-reinforced composite (FG-GPLRC) arches under central point load. It is assumed that graphene nanoplatelets (GPLs) in each GPLRC layer are uniformly distributed an...
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| Format: | Article |
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MDPI AG
2020-11-01
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| Series: | Crystals |
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| Online Access: | https://www.mdpi.com/2073-4352/10/11/1003 |
| _version_ | 1797548840512913408 |
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| author | Zhicheng Yang Jiamian Xu Hanwen Lu Jiangen Lv Airong Liu Jiyang Fu |
| author_facet | Zhicheng Yang Jiamian Xu Hanwen Lu Jiangen Lv Airong Liu Jiyang Fu |
| author_sort | Zhicheng Yang |
| collection | DOAJ |
| description | This paper presents an analytical study on the multiple equilibria and buckling of pinned-fixed functionally graded graphene nanoplatelet-reinforced composite (FG-GPLRC) arches under central point load. It is assumed that graphene nanoplatelets (GPLs) in each GPLRC layer are uniformly distributed and randomly oriented with its concentration varying layer-wise along the thickness direction. The Halpin–Tsai micromechanics-based model is used to estimate the effective elastic modulus of GPLRC. The non-linear equilibrium path and buckling load of the pinned-fixed FG-GPLRC arch are subsequently derived by employing the principle of virtual work. The effects of GPLs distribution, weight fraction, size and geometry on the buckling load are examined comprehensively. It is found that the buckling performances of FG-GPLRC arches can be significantly improved by using GPLs as reinforcing nanofillers. It is also found that the non-linear equilibrium path of the pinned-fixed FG-GPLRC arch have multiple limit points and non-linear equilibrium branches when the arch is with a special geometric parameter. |
| first_indexed | 2024-03-10T15:05:29Z |
| format | Article |
| id | doaj.art-ce1a2069df814781a9327ae56268ffb8 |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-10T15:05:29Z |
| publishDate | 2020-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-ce1a2069df814781a9327ae56268ffb82023-11-20T19:50:44ZengMDPI AGCrystals2073-43522020-11-011011100310.3390/cryst10111003Multiple Equilibria and Buckling of Functionally Graded Graphene Nanoplatelet-Reinforced Composite Arches with Pinned-Fixed EndZhicheng Yang0Jiamian Xu1Hanwen Lu2Jiangen Lv3Airong Liu4Jiyang Fu5College of Urban and Rural Construction, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, ChinaCollege of Urban and Rural Construction, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, ChinaSchool of Transportation, Civil Engineering and Architecture, Foshan University, Foshan 528225, ChinaCollege of Urban and Rural Construction, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, ChinaGuangzhou University-Tamkang University Joint Research Centre for Engineering Structure Disaster Prevention and Control, Guangzhou University, Guangzhou 510006, ChinaGuangzhou University-Tamkang University Joint Research Centre for Engineering Structure Disaster Prevention and Control, Guangzhou University, Guangzhou 510006, ChinaThis paper presents an analytical study on the multiple equilibria and buckling of pinned-fixed functionally graded graphene nanoplatelet-reinforced composite (FG-GPLRC) arches under central point load. It is assumed that graphene nanoplatelets (GPLs) in each GPLRC layer are uniformly distributed and randomly oriented with its concentration varying layer-wise along the thickness direction. The Halpin–Tsai micromechanics-based model is used to estimate the effective elastic modulus of GPLRC. The non-linear equilibrium path and buckling load of the pinned-fixed FG-GPLRC arch are subsequently derived by employing the principle of virtual work. The effects of GPLs distribution, weight fraction, size and geometry on the buckling load are examined comprehensively. It is found that the buckling performances of FG-GPLRC arches can be significantly improved by using GPLs as reinforcing nanofillers. It is also found that the non-linear equilibrium path of the pinned-fixed FG-GPLRC arch have multiple limit points and non-linear equilibrium branches when the arch is with a special geometric parameter.https://www.mdpi.com/2073-4352/10/11/1003multiple equilibriagraphene nanoplateletspinned-fixed archeslimit point buckling |
| spellingShingle | Zhicheng Yang Jiamian Xu Hanwen Lu Jiangen Lv Airong Liu Jiyang Fu Multiple Equilibria and Buckling of Functionally Graded Graphene Nanoplatelet-Reinforced Composite Arches with Pinned-Fixed End Crystals multiple equilibria graphene nanoplatelets pinned-fixed arches limit point buckling |
| title | Multiple Equilibria and Buckling of Functionally Graded Graphene Nanoplatelet-Reinforced Composite Arches with Pinned-Fixed End |
| title_full | Multiple Equilibria and Buckling of Functionally Graded Graphene Nanoplatelet-Reinforced Composite Arches with Pinned-Fixed End |
| title_fullStr | Multiple Equilibria and Buckling of Functionally Graded Graphene Nanoplatelet-Reinforced Composite Arches with Pinned-Fixed End |
| title_full_unstemmed | Multiple Equilibria and Buckling of Functionally Graded Graphene Nanoplatelet-Reinforced Composite Arches with Pinned-Fixed End |
| title_short | Multiple Equilibria and Buckling of Functionally Graded Graphene Nanoplatelet-Reinforced Composite Arches with Pinned-Fixed End |
| title_sort | multiple equilibria and buckling of functionally graded graphene nanoplatelet reinforced composite arches with pinned fixed end |
| topic | multiple equilibria graphene nanoplatelets pinned-fixed arches limit point buckling |
| url | https://www.mdpi.com/2073-4352/10/11/1003 |
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