{"title":"Analysis of the Stability of a Stretched Polymer Gel Thread","authors":"A. V. Subbotin, A. N. Semenov","doi":"10.1134/S0965545X24601370","DOIUrl":null,"url":null,"abstract":"<p>The stability of a pre-stretched and fixed cylindrical thread of weakly crosslinked polymer gel against varicose perturbations has been analyzed. The influence of capillary forces, gel elasticity, and interactions on the dynamics of the perturbations has been investigated, and a criterion for thread instability has been formulated. A dispersion equation has been derived, and based on this equation, the fastest-growing mode of perturbations has been determined, along with its growth rate as a function of the macroscopic properties of the gel and the thread radius.</p>","PeriodicalId":738,"journal":{"name":"Polymer Science, Series A","volume":"66 4","pages":"457 - 464"},"PeriodicalIF":1.1000,"publicationDate":"2025-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Polymer Science, Series A","FirstCategoryId":"1","ListUrlMain":"https://link.springer.com/article/10.1134/S0965545X24601370","RegionNum":4,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"POLYMER SCIENCE","Score":null,"Total":0}
引用次数: 0
Abstract
The stability of a pre-stretched and fixed cylindrical thread of weakly crosslinked polymer gel against varicose perturbations has been analyzed. The influence of capillary forces, gel elasticity, and interactions on the dynamics of the perturbations has been investigated, and a criterion for thread instability has been formulated. A dispersion equation has been derived, and based on this equation, the fastest-growing mode of perturbations has been determined, along with its growth rate as a function of the macroscopic properties of the gel and the thread radius.
期刊介绍：
Polymer Science, Series A is a journal published in collaboration with the Russian Academy of Sciences. Series A includes experimental and theoretical papers and reviews devoted to physicochemical studies of the structure and properties of polymers (6 issues a year). All journal series present original papers and reviews covering all fundamental aspects of macromolecular science. Contributions should be of marked novelty and interest for a broad readership. Articles may be written in English or Russian regardless of country and nationality of authors. All manuscripts are peer reviewed. Online submission via Internet to the Series A, B, and C is available at http://polymsci.ru.
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