{"title":"Effect of nonhomogeneity on compression of solid circular cylinders made of functionally graded incompressible neo-Hookean materials","authors":"Fatsah Mendil, Hocine Bechir, Mounir Methia","doi":"10.1007/s11012-024-01852-9","DOIUrl":null,"url":null,"abstract":"<div><p>We investigate the influence of elastic nonhomogeneity on compression of solid circular cylinders made of incompressible functionally graded neo-Hookean materials. The shear modulus is assumed varying in the axial direction. The fixed–fixed conditions are considered, i.e. two rigid platens are fixed to ends of sample surfaces. We transform the balance equations into ordinary differential equations (ODE) which are solved numerically. Based on, we investigate lateral deformed profiles of a solid circular cylinder. Furthermore, we compute von-Mises stress that governs the possible failure of the material.</p></div>","PeriodicalId":695,"journal":{"name":"Meccanica","volume":null,"pages":null},"PeriodicalIF":1.9000,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Meccanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s11012-024-01852-9","RegionNum":3,"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
We investigate the influence of elastic nonhomogeneity on compression of solid circular cylinders made of incompressible functionally graded neo-Hookean materials. The shear modulus is assumed varying in the axial direction. The fixed–fixed conditions are considered, i.e. two rigid platens are fixed to ends of sample surfaces. We transform the balance equations into ordinary differential equations (ODE) which are solved numerically. Based on, we investigate lateral deformed profiles of a solid circular cylinder. Furthermore, we compute von-Mises stress that governs the possible failure of the material.
期刊介绍：
Meccanica focuses on the methodological framework shared by mechanical scientists when addressing theoretical or applied problems. Original papers address various aspects of mechanical and mathematical modeling, of solution, as well as of analysis of system behavior. The journal explores fundamental and applications issues in established areas of mechanics research as well as in emerging fields; contemporary research on general mechanics, solid and structural mechanics, fluid mechanics, and mechanics of machines; interdisciplinary fields between mechanics and other mathematical and engineering sciences; interaction of mechanics with dynamical systems, advanced materials, control and computation; electromechanics; biomechanics.
Articles include full length papers; topical overviews; brief notes; discussions and comments on published papers; book reviews; and an international calendar of conferences.
Meccanica, the official journal of the Italian Association of Theoretical and Applied Mechanics, was established in 1966.
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