{"title":"有限变形下单向纤维增强复合材料的模型预测","authors":"Xing Lu, Jianhui Wei, Wei Zhao, Wenwu Zhang, Helezi Zhou, Zinan Liu, Xiongqi Peng, Zhigao Huang, Huamin Zhou","doi":"10.1177/07316844241252045","DOIUrl":null,"url":null,"abstract":"The intuitive knowledge is that the mechanical modulus of unidirectional fiber-reinforced composites (UD-FRPs) decreases with higher fiber orientation angles. However, numerical results in this work and experimental results in previous literature indicate that the mechanical response of UD-FRPs has a U-shaped dependence on fiber orientation angle. To explain this phenomenon, we develop an anisotropic model to capture the mechanical behavior of UD-FRPs. The strain energy is decomposed into four components: matrix, fiber, fiber-matrix normal, and shear interactions. Each component can be determined by matching the mechanical responses of unit cells with 0°, 45°, and 90° off-axis. The results obtained from the presented model match well with the numerical response of unit cells with 15°, 30°, 60°, and 75° off-axis. With an increasing fiber orientation angle, the matrix part remains unchanged, the fiber component decreases, but the fiber-matrix normal component increases, and the fiber-matrix shear component increases and then decreases. The change in strain energy contributions explains the mechanism of the U-shaped dependence of the mechanical response on fiber orientation angle.","PeriodicalId":16943,"journal":{"name":"Journal of Reinforced Plastics and Composites","volume":"46 1","pages":""},"PeriodicalIF":2.3000,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Model prediction of unidirectional fiber-reinforced composites under finite deformation\",\"authors\":\"Xing Lu, Jianhui Wei, Wei Zhao, Wenwu Zhang, Helezi Zhou, Zinan Liu, Xiongqi Peng, Zhigao Huang, Huamin Zhou\",\"doi\":\"10.1177/07316844241252045\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The intuitive knowledge is that the mechanical modulus of unidirectional fiber-reinforced composites (UD-FRPs) decreases with higher fiber orientation angles. However, numerical results in this work and experimental results in previous literature indicate that the mechanical response of UD-FRPs has a U-shaped dependence on fiber orientation angle. To explain this phenomenon, we develop an anisotropic model to capture the mechanical behavior of UD-FRPs. The strain energy is decomposed into four components: matrix, fiber, fiber-matrix normal, and shear interactions. Each component can be determined by matching the mechanical responses of unit cells with 0°, 45°, and 90° off-axis. The results obtained from the presented model match well with the numerical response of unit cells with 15°, 30°, 60°, and 75° off-axis. With an increasing fiber orientation angle, the matrix part remains unchanged, the fiber component decreases, but the fiber-matrix normal component increases, and the fiber-matrix shear component increases and then decreases. The change in strain energy contributions explains the mechanism of the U-shaped dependence of the mechanical response on fiber orientation angle.\",\"PeriodicalId\":16943,\"journal\":{\"name\":\"Journal of Reinforced Plastics and Composites\",\"volume\":\"46 1\",\"pages\":\"\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2024-05-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Reinforced Plastics and Composites\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://doi.org/10.1177/07316844241252045\",\"RegionNum\":3,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATERIALS SCIENCE, COMPOSITES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Reinforced Plastics and Composites","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1177/07316844241252045","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATERIALS SCIENCE, COMPOSITES","Score":null,"Total":0}
引用次数: 0
摘要
直观的认识是,单向纤维增强复合材料(UD-FRP)的机械模量随着纤维取向角的增大而减小。然而,本研究的数值结果和以往文献中的实验结果表明,UD-FRP 的机械响应与纤维取向角呈 U 型关系。为了解释这一现象,我们建立了一个各向异性模型来捕捉 UD-FRP 的力学行为。应变能被分解为四个部分:基体、纤维、纤维-基体法向和剪切相互作用。每个分量都可以通过匹配离轴 0°、45° 和 90°的单元格的机械响应来确定。该模型得出的结果与偏离轴线 15°、30°、60° 和 75°的单元格的数值响应十分吻合。随着纤维取向角的增大,基体部分保持不变,纤维分量减小,但纤维-基体法向分量增大,纤维-基体剪切分量先增大后减小。应变能贡献的变化解释了机械响应与纤维取向角呈 U 型关系的机理。
Model prediction of unidirectional fiber-reinforced composites under finite deformation
The intuitive knowledge is that the mechanical modulus of unidirectional fiber-reinforced composites (UD-FRPs) decreases with higher fiber orientation angles. However, numerical results in this work and experimental results in previous literature indicate that the mechanical response of UD-FRPs has a U-shaped dependence on fiber orientation angle. To explain this phenomenon, we develop an anisotropic model to capture the mechanical behavior of UD-FRPs. The strain energy is decomposed into four components: matrix, fiber, fiber-matrix normal, and shear interactions. Each component can be determined by matching the mechanical responses of unit cells with 0°, 45°, and 90° off-axis. The results obtained from the presented model match well with the numerical response of unit cells with 15°, 30°, 60°, and 75° off-axis. With an increasing fiber orientation angle, the matrix part remains unchanged, the fiber component decreases, but the fiber-matrix normal component increases, and the fiber-matrix shear component increases and then decreases. The change in strain energy contributions explains the mechanism of the U-shaped dependence of the mechanical response on fiber orientation angle.
期刊介绍:
The Journal of Reinforced Plastics and Composites is a fully peer-reviewed international journal that publishes original research and review articles on a broad range of today''s reinforced plastics and composites including areas in:
Constituent materials: matrix materials, reinforcements and coatings.
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