{"title":"广义Mooney-Rivlin模型框架下聚合物凝胶性质的描述","authors":"E. Ya. Denisyuk","doi":"10.1134/S0025654424603677","DOIUrl":null,"url":null,"abstract":"<p>A polymer gel is considered as a mixture consisting of a highly elastic elastic material and a liquid (solvent) dissolved in it. Based on the generalized Mooney-Rivlin model, an expression for free energy is proposed that describes the deformation behavior and thermodynamic properties of polymer gels. In this model, it is assumed that the Mooney-Rivlin “constants” depend on the concentration of the liquid dissolved in the polymer. From this expression, the constitutive relations for the stress tensor, the chemical potential of the solvent, and the osmotic stress tensor are obtained. Based on these relations, an experimental study of the deformation properties of cross-linked elastomers of various chemical natures swollen in a solvent is performed. In particular, the dependence of the elastic properties of elastomers on the concentration of the solvent is studied and the parameters describing this dependence are determined.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 6","pages":"3282 - 3294"},"PeriodicalIF":0.6000,"publicationDate":"2025-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Description of Polymer Gel Properties in Framework of Generalized Mooney-Rivlin Model\",\"authors\":\"E. Ya. Denisyuk\",\"doi\":\"10.1134/S0025654424603677\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>A polymer gel is considered as a mixture consisting of a highly elastic elastic material and a liquid (solvent) dissolved in it. Based on the generalized Mooney-Rivlin model, an expression for free energy is proposed that describes the deformation behavior and thermodynamic properties of polymer gels. In this model, it is assumed that the Mooney-Rivlin “constants” depend on the concentration of the liquid dissolved in the polymer. From this expression, the constitutive relations for the stress tensor, the chemical potential of the solvent, and the osmotic stress tensor are obtained. Based on these relations, an experimental study of the deformation properties of cross-linked elastomers of various chemical natures swollen in a solvent is performed. In particular, the dependence of the elastic properties of elastomers on the concentration of the solvent is studied and the parameters describing this dependence are determined.</p>\",\"PeriodicalId\":697,\"journal\":{\"name\":\"Mechanics of Solids\",\"volume\":\"59 6\",\"pages\":\"3282 - 3294\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2025-03-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mechanics of Solids\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0025654424603677\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Solids","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0025654424603677","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
Description of Polymer Gel Properties in Framework of Generalized Mooney-Rivlin Model
A polymer gel is considered as a mixture consisting of a highly elastic elastic material and a liquid (solvent) dissolved in it. Based on the generalized Mooney-Rivlin model, an expression for free energy is proposed that describes the deformation behavior and thermodynamic properties of polymer gels. In this model, it is assumed that the Mooney-Rivlin “constants” depend on the concentration of the liquid dissolved in the polymer. From this expression, the constitutive relations for the stress tensor, the chemical potential of the solvent, and the osmotic stress tensor are obtained. Based on these relations, an experimental study of the deformation properties of cross-linked elastomers of various chemical natures swollen in a solvent is performed. In particular, the dependence of the elastic properties of elastomers on the concentration of the solvent is studied and the parameters describing this dependence are determined.
期刊介绍：
Mechanics of Solids publishes articles in the general areas of dynamics of particles and rigid bodies and the mechanics of deformable solids. The journal has a goal of being a comprehensive record of up-to-the-minute research results. The journal coverage is vibration of discrete and continuous systems; stability and optimization of mechanical systems; automatic control theory; dynamics of multiple body systems; elasticity, viscoelasticity and plasticity; mechanics of composite materials; theory of structures and structural stability; wave propagation and impact of solids; fracture mechanics; micromechanics of solids; mechanics of granular and geological materials; structure-fluid interaction; mechanical behavior of materials; gyroscopes and navigation systems; and nanomechanics. Most of the articles in the journal are theoretical and analytical. They present a blend of basic mechanics theory with analysis of contemporary technological problems.
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