{"title":"Analysis of stress transfer in rectangular patch-reinforced composites with unidirectional or bidirectional interfacial damage under tensile loading","authors":"Si-Yu Guo, Yan-Gao Hu","doi":"10.1007/s00707-024-04059-x","DOIUrl":null,"url":null,"abstract":"<div><p>This paper proposes a modified two-dimensional (2-D) shear-lag model considering unidirectional or bidirectional interfacial damage to analyze the stress transfer mechanism of rectangular patch-reinforced composites under tensile load. The semi-analytical solutions for bidirectional normal stresses and interfacial shear stresses are provided, accounting for interfacial orthotropic anisotropy and the stiffness variation in the damage stage. The study examines the influence of material parameters, including the difference in Poisson's ratios between the substrate and patch, thickness ratio, and aspect ratio, on interfacial damage in composite materials. The results show a good agreement between the stress distribution solutions predicted by the proposed 2-D model and finite element results. The model provides an effective solution to the 2-D stress problem in rectangular patch-reinforced composites with interface damage.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 11","pages":"6519 - 6568"},"PeriodicalIF":2.3000,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00707-024-04059-x","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper proposes a modified two-dimensional (2-D) shear-lag model considering unidirectional or bidirectional interfacial damage to analyze the stress transfer mechanism of rectangular patch-reinforced composites under tensile load. The semi-analytical solutions for bidirectional normal stresses and interfacial shear stresses are provided, accounting for interfacial orthotropic anisotropy and the stiffness variation in the damage stage. The study examines the influence of material parameters, including the difference in Poisson's ratios between the substrate and patch, thickness ratio, and aspect ratio, on interfacial damage in composite materials. The results show a good agreement between the stress distribution solutions predicted by the proposed 2-D model and finite element results. The model provides an effective solution to the 2-D stress problem in rectangular patch-reinforced composites with interface damage.
期刊介绍：
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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