Inflation of a toroidal membrane within a fluid-filled elastic spherical enclosure

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2024-11-26 DOI:10.1016/j.tws.2024.112729

Satyajit Sahu, Soham Roychowdhury

{"title":"Inflation of a toroidal membrane within a fluid-filled elastic spherical enclosure","authors":"Satyajit Sahu, Soham Roychowdhury","doi":"10.1016/j.tws.2024.112729","DOIUrl":null,"url":null,"abstract":"<div><div>The present research investigates the growth based inflation model of an inflated toroidal membrane within a fluid-filled environment enclosed by an elastic spherical cavity. This problem statement resembles the growth of toroidal vesicle membranes within biological cells. The toroidal membrane is described by hyperelastic Mooney–Rivlin model with meridional anisotropy. The rise in internal gauge pressure of the torus causes the surrounding incompressible fluid to exert a distributed radial force on the surface of the elastic sphere, resulting in its deformation. With a subsequent gradual increase in gauge pressure, a contact is initiated as the torus indents onto the inner surface of the elastic sphere. The contact condition is assumed to be frictionless, and a variational formulation is adopted for solving the contact problem. The maximum indentation as well as the generated contact stress are found to be higher with a lesser stiffness of the elastic spherical enclosure. As the contact patch grows, the phenomenon of membrane thinning is predominantly observed at the inner equator of the torus. The growth of the contact boundary varies linearly with increasing torus gauge pressure, but non-linearly with the fluid pressure within the spherical enclosure.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"207 ","pages":"Article 112729"},"PeriodicalIF":5.7000,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Thin-Walled Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0263823124011698","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}

引用次数: 0

Abstract

The present research investigates the growth based inflation model of an inflated toroidal membrane within a fluid-filled environment enclosed by an elastic spherical cavity. This problem statement resembles the growth of toroidal vesicle membranes within biological cells. The toroidal membrane is described by hyperelastic Mooney–Rivlin model with meridional anisotropy. The rise in internal gauge pressure of the torus causes the surrounding incompressible fluid to exert a distributed radial force on the surface of the elastic sphere, resulting in its deformation. With a subsequent gradual increase in gauge pressure, a contact is initiated as the torus indents onto the inner surface of the elastic sphere. The contact condition is assumed to be frictionless, and a variational formulation is adopted for solving the contact problem. The maximum indentation as well as the generated contact stress are found to be higher with a lesser stiffness of the elastic spherical enclosure. As the contact patch grows, the phenomenon of membrane thinning is predominantly observed at the inner equator of the torus. The growth of the contact boundary varies linearly with increasing torus gauge pressure, but non-linearly with the fluid pressure within the spherical enclosure.

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

Thin-Walled Structures 工程技术-工程：土木

CiteScore

9.60

自引率

20.30%

发文量

801

审稿时长

66 days

期刊介绍： Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.