Modeling of variable angle tow composites using a variable separation method based on a unified formulation

IF 6.3 2区材料科学 Q1 MATERIALS SCIENCE, COMPOSITES

Composite Structures Pub Date : 2025-02-22 DOI:10.1016/j.compstruct.2025.118963

P. Vidal , G. Giunta , D.A. Iannotta , L. Gallimard , O. Polit

{"title":"Modeling of variable angle tow composites using a variable separation method based on a unified formulation","authors":"P. Vidal , G. Giunta , D.A. Iannotta , L. Gallimard , O. Polit","doi":"10.1016/j.compstruct.2025.118963","DOIUrl":null,"url":null,"abstract":"<div><div>In this article, we are interested in the modeling of variable stiffness plate structures through a variable separation approach. The displacement field is approximated as a sum of separated functions of the in-plane coordinates <span><math><mi>x</mi></math></span>, <span><math><mi>y</mi></math></span> and the transverse coordinate <span><math><mi>z</mi></math></span>. A non-linear problem is derived. It can be solved using an iterative process involving 2D and 1D linear problems successively. To keep the separability feature ensuring a computational efficiency, the so-called Carrera’s Unified Formulation (CUF) is adapted to our framework. Classical Finite Element method is used. In the thickness direction, a fourth-order expansion in each layer is considered. The number of unknowns is reduced compared to classical LayerWise (LW) approach. Test cases encountered in the literature are provided to assess the present LW method and compare the results with reference solutions. Laminated and sandwich structures with different slenderness ratios and variations of angle tows are addressed. Very satisfactory results with a low computational cost are obtained.</div></div>","PeriodicalId":281,"journal":{"name":"Composite Structures","volume":"359 ","pages":"Article 118963"},"PeriodicalIF":6.3000,"publicationDate":"2025-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Composite Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S026382232500128X","RegionNum":2,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATERIALS SCIENCE, COMPOSITES","Score":null,"Total":0}

引用次数: 0

Abstract

In this article, we are interested in the modeling of variable stiffness plate structures through a variable separation approach. The displacement field is approximated as a sum of separated functions of the in-plane coordinates

x

y

and the transverse coordinate

z

. A non-linear problem is derived. It can be solved using an iterative process involving 2D and 1D linear problems successively. To keep the separability feature ensuring a computational efficiency, the so-called Carrera’s Unified Formulation (CUF) is adapted to our framework. Classical Finite Element method is used. In the thickness direction, a fourth-order expansion in each layer is considered. The number of unknowns is reduced compared to classical LayerWise (LW) approach. Test cases encountered in the literature are provided to assess the present LW method and compare the results with reference solutions. Laminated and sandwich structures with different slenderness ratios and variations of angle tows are addressed. Very satisfactory results with a low computational cost are obtained.

查看原文本刊更多论文

求助全文

约1分钟内获得全文求助全文

来源期刊

Composite Structures 工程技术-材料科学：复合

CiteScore

12.00

自引率

12.70%

发文量

1246

审稿时长

78 days

期刊介绍： The past few decades have seen outstanding advances in the use of composite materials in structural applications. There can be little doubt that, within engineering circles, composites have revolutionised traditional design concepts and made possible an unparalleled range of new and exciting possibilities as viable materials for construction. Composite Structures, an International Journal, disseminates knowledge between users, manufacturers, designers and researchers involved in structures or structural components manufactured using composite materials. The journal publishes papers which contribute to knowledge in the use of composite materials in engineering structures. Papers deal with design, research and development studies, experimental investigations, theoretical analysis and fabrication techniques relevant to the application of composites in load-bearing components for assemblies, ranging from individual components such as plates and shells to complete composite structures.