{"title":"Nonlinear theory and finite element analysis of cylindrical deformation of hyperelastic thick rods","authors":"J. Chróścielewski, A. Sabik, W. Witkowski","doi":"10.1016/j.ijengsci.2025.104269","DOIUrl":null,"url":null,"abstract":"<div><div>This paper presents a theory and finite element formulation for the plane strain problem of hyperelastic bodies undergoing cylindrical bending using one-dimensional <em>C</em><sup>0</sup> elements called ROD. The paper addresses several aspects characteristic of thick shells experiencing finite elastic deformations, which are not typically encountered in the analysis of classical thin shells. These include significant deformations through the shell's thickness in highly nonlinear range, the numerical implementation of various nonlinear material behaviors, the impact of the chosen reference surface (load) location on the solutions, and the treatment of related boundary conditions. The obtained results are compared with those obtained by commercial code finite element analysis Abaqus system to show the effectiveness of the formulation.</div></div>","PeriodicalId":14053,"journal":{"name":"International Journal of Engineering Science","volume":"212 ","pages":"Article 104269"},"PeriodicalIF":5.7000,"publicationDate":"2025-07-01","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/S0020722525000564","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/4/10 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
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Abstract
This paper presents a theory and finite element formulation for the plane strain problem of hyperelastic bodies undergoing cylindrical bending using one-dimensional C0 elements called ROD. The paper addresses several aspects characteristic of thick shells experiencing finite elastic deformations, which are not typically encountered in the analysis of classical thin shells. These include significant deformations through the shell's thickness in highly nonlinear range, the numerical implementation of various nonlinear material behaviors, the impact of the chosen reference surface (load) location on the solutions, and the treatment of related boundary conditions. The obtained results are compared with those obtained by commercial code finite element analysis Abaqus system to show the effectiveness of the formulation.
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.
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