{"title":"考虑纤维弯曲刚度的纤维增强复合材料的电磁Cosserat谱建模","authors":"M.H.B.M. Shariff","doi":"10.1016/j.ijengsci.2025.104360","DOIUrl":null,"url":null,"abstract":"<div><div>In this study, we develop a nonlinear framework based on spectral invariants to model the electromagnetic behaviour of fibre-reinforced composites, explicitly accounting for the fibre stiffness of the embedded fibres. Employing Cosserat continuum theory, we derive general constitutive equations for stress and couple stress that capture the interactions between mechanical and electromagnetic fields. These equations also enable a physically meaningful decomposition of the couple stress tensor. To model materials in which fibre bending plays a dominant role, we refine the general constitutive equations by restricting their dependence on fibre direction gradients to directional derivatives along the fibre axis. Prototype forms of the internal energy function are proposed for both the general and specialized cases. We demonstrate the applicability of the specialized model by solving boundary value problems involving fibre bending and inflation, highlighting its physical relevance. The results offer a foundation for the design and simulation of advanced smart materials, particularly in applications where electromagnetic effects and fibre microstructure are strongly coupled.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"217 ","pages":"Article 104360"},"PeriodicalIF":5.7000,"publicationDate":"2025-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the electromagnetic Cosserat spectral modelling of fibre-reinforced composites with fibre bending stiffness\",\"authors\":\"M.H.B.M. Shariff\",\"doi\":\"10.1016/j.ijengsci.2025.104360\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this study, we develop a nonlinear framework based on spectral invariants to model the electromagnetic behaviour of fibre-reinforced composites, explicitly accounting for the fibre stiffness of the embedded fibres. Employing Cosserat continuum theory, we derive general constitutive equations for stress and couple stress that capture the interactions between mechanical and electromagnetic fields. These equations also enable a physically meaningful decomposition of the couple stress tensor. To model materials in which fibre bending plays a dominant role, we refine the general constitutive equations by restricting their dependence on fibre direction gradients to directional derivatives along the fibre axis. Prototype forms of the internal energy function are proposed for both the general and specialized cases. We demonstrate the applicability of the specialized model by solving boundary value problems involving fibre bending and inflation, highlighting its physical relevance. The results offer a foundation for the design and simulation of advanced smart materials, particularly in applications where electromagnetic effects and fibre microstructure are strongly coupled.</div></div>\",\"PeriodicalId\":14053,\"journal\":{\"name\":\"International Journal of Engineering Science\",\"volume\":\"217 \",\"pages\":\"Article 104360\"},\"PeriodicalIF\":5.7000,\"publicationDate\":\"2025-08-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Engineering Science\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0020722525001478\",\"RegionNum\":1,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Engineering Science","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020722525001478","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
On the electromagnetic Cosserat spectral modelling of fibre-reinforced composites with fibre bending stiffness
In this study, we develop a nonlinear framework based on spectral invariants to model the electromagnetic behaviour of fibre-reinforced composites, explicitly accounting for the fibre stiffness of the embedded fibres. Employing Cosserat continuum theory, we derive general constitutive equations for stress and couple stress that capture the interactions between mechanical and electromagnetic fields. These equations also enable a physically meaningful decomposition of the couple stress tensor. To model materials in which fibre bending plays a dominant role, we refine the general constitutive equations by restricting their dependence on fibre direction gradients to directional derivatives along the fibre axis. Prototype forms of the internal energy function are proposed for both the general and specialized cases. We demonstrate the applicability of the specialized model by solving boundary value problems involving fibre bending and inflation, highlighting its physical relevance. The results offer a foundation for the design and simulation of advanced smart materials, particularly in applications where electromagnetic effects and fibre microstructure are strongly coupled.
期刊介绍:
The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome.
The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process.
Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.