{"title":"Study of biaxial stress transfer in multilayer composites under uniaxial or biaxial tensile loading","authors":"Si-Yu Guo, Hui-Ying Zhang, Yan-Gao Hu","doi":"10.1007/s00707-024-04100-z","DOIUrl":null,"url":null,"abstract":"<div><p>This paper establishes a two-dimensional (2-D) shear-lag model applicable to multilayer composites, aiming to analyze the stress transfer mechanism in multilayer composites under uniaxial or biaxial tensile loading. Semi-analytical solutions for the normal stress and shear stress are provided under the assumption of elastic interface conditions. An example of patch-reinforced composites is used to provide semi-analytical solutions for the normal stress and shear stress under the assumption of elastic interface conditions. The study investigated the influence of material parameters on the stress distribution within each layer of multilayer composites, including the thickness ratio, the difference in Poisson’s ratio, the thickness of the adhesive layer, the aspect ratio, and the number of layers. The results indicate that the stress distribution solutions predicted by the proposed 2-D model are in good agreement with finite element results. This model provides an effective solution method for the 2-D stress problem in multilayer composites.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7317 - 7349"},"PeriodicalIF":2.3000,"publicationDate":"2024-09-27","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/s00707-024-04100-z","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 establishes a two-dimensional (2-D) shear-lag model applicable to multilayer composites, aiming to analyze the stress transfer mechanism in multilayer composites under uniaxial or biaxial tensile loading. Semi-analytical solutions for the normal stress and shear stress are provided under the assumption of elastic interface conditions. An example of patch-reinforced composites is used to provide semi-analytical solutions for the normal stress and shear stress under the assumption of elastic interface conditions. The study investigated the influence of material parameters on the stress distribution within each layer of multilayer composites, including the thickness ratio, the difference in Poisson’s ratio, the thickness of the adhesive layer, the aspect ratio, and the number of layers. The results indicate that the stress distribution solutions predicted by the proposed 2-D model are in good agreement with finite element results. This model provides an effective solution method for the 2-D stress problem in multilayer composites.
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.