Series solutions to elastic opening of double cantilever beam for several traction–separation laws

IF 1.9 4区工程技术 Q3 MECHANICS Mechanics Research Communications Pub Date : 2025-03-01 DOI:10.1016/j.mechrescom.2025.104391

Zhenghao Yang , Konstantin Naumenko , Guozhao Dai , Nan-You Lu

{"title":"Series solutions to elastic opening of double cantilever beam for several traction–separation laws","authors":"Zhenghao Yang , Konstantin Naumenko , Guozhao Dai , Nan-You Lu","doi":"10.1016/j.mechrescom.2025.104391","DOIUrl":null,"url":null,"abstract":"<div><div>The aim of this paper is to develop semi-analytical solutions for double cantilever beam (DCB) problems using eigenfunction series expansions. This approach provides explicit expressions for deflection as a function of the axial coordinate for various traction–separation laws (TSL) and different external loading conditions. For a given cohesive zone length, the solutions are presented in a closed analytical form. Once the deflection function is derived, the length of the interaction zone is related to TSL parameters, bending stiffness, and applied loads through transcendental equations, which are solved numerically. To validate the accuracy of the derived expressions, results are compared with numerical solutions obtained via finite element analysis. The good agreement observed between the analytical and numerical solutions confirms the robustness of the proposed method and its ability to accurately capture both global (deflection) and local (cohesive traction distribution) behavior. Compared to general solutions for semi-infinite beams found in the literature, eigenfunction series offer greater flexibility, accommodating a wider range of boundary conditions and loading types.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"145 ","pages":"Article 104391"},"PeriodicalIF":1.9000,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics Research Communications","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0093641325000242","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MECHANICS","Score":null,"Total":0}

引用次数: 0

Abstract

The aim of this paper is to develop semi-analytical solutions for double cantilever beam (DCB) problems using eigenfunction series expansions. This approach provides explicit expressions for deflection as a function of the axial coordinate for various traction–separation laws (TSL) and different external loading conditions. For a given cohesive zone length, the solutions are presented in a closed analytical form. Once the deflection function is derived, the length of the interaction zone is related to TSL parameters, bending stiffness, and applied loads through transcendental equations, which are solved numerically. To validate the accuracy of the derived expressions, results are compared with numerical solutions obtained via finite element analysis. The good agreement observed between the analytical and numerical solutions confirms the robustness of the proposed method and its ability to accurately capture both global (deflection) and local (cohesive traction distribution) behavior. Compared to general solutions for semi-infinite beams found in the literature, eigenfunction series offer greater flexibility, accommodating a wider range of boundary conditions and loading types.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

求助全文

约1分钟内获得全文去求助

来源期刊

Mechanics Research Communications 物理-力学

CiteScore

4.10

自引率

4.20%

发文量

114

审稿时长

9 months

期刊介绍： Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.