{"title":"Analysis of thermal cavitation in a viscoelastic composite sphere under a uniform temperature field","authors":"YaJuan Chen, XinChun Shang","doi":"10.1007/s11043-023-09630-y","DOIUrl":null,"url":null,"abstract":"<div><p>Cavity bifurcation is an important mechanism of damage and fracture failure of various materials. The thermal cavitation problem of a composite sphere composed of two kinds of viscoelastic materials subjected to a uniform temperature field was studied in this paper. Based on the finite deformation dynamics theory, a nonlinear mathematical model describing cavity movement in a composite sphere was established by employing the Kelvin–Voigt constitutive equation of thermo-viscoelasticity. Adopting the dimensionless transformation, a parametric cavitated bifurcation solution describing the cavity radius with the temperature was obtained. The dynamic variation curves of the cavity radius, which increase with external temperature, radius ratios, and material parameters, were also discussed. It was proved that the dynamic growth of an infinitely large sphere, including a small sphere, can be achieved by a finitely composite sphere.</p></div>","PeriodicalId":698,"journal":{"name":"Mechanics of Time-Dependent Materials","volume":"28 3","pages":"787 - 800"},"PeriodicalIF":2.1000,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Time-Dependent Materials","FirstCategoryId":"88","ListUrlMain":"https://link.springer.com/article/10.1007/s11043-023-09630-y","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, CHARACTERIZATION & TESTING","Score":null,"Total":0}
引用次数: 0
Abstract
Cavity bifurcation is an important mechanism of damage and fracture failure of various materials. The thermal cavitation problem of a composite sphere composed of two kinds of viscoelastic materials subjected to a uniform temperature field was studied in this paper. Based on the finite deformation dynamics theory, a nonlinear mathematical model describing cavity movement in a composite sphere was established by employing the Kelvin–Voigt constitutive equation of thermo-viscoelasticity. Adopting the dimensionless transformation, a parametric cavitated bifurcation solution describing the cavity radius with the temperature was obtained. The dynamic variation curves of the cavity radius, which increase with external temperature, radius ratios, and material parameters, were also discussed. It was proved that the dynamic growth of an infinitely large sphere, including a small sphere, can be achieved by a finitely composite sphere.
期刊介绍：
Mechanics of Time-Dependent Materials accepts contributions dealing with the time-dependent mechanical properties of solid polymers, metals, ceramics, concrete, wood, or their composites. It is recognized that certain materials can be in the melt state as function of temperature and/or pressure. Contributions concerned with fundamental issues relating to processing and melt-to-solid transition behaviour are welcome, as are contributions addressing time-dependent failure and fracture phenomena. Manuscripts addressing environmental issues will be considered if they relate to time-dependent mechanical properties.
The journal promotes the transfer of knowledge between various disciplines that deal with the properties of time-dependent solid materials but approach these from different angles. Among these disciplines are: Mechanical Engineering, Aerospace Engineering, Chemical Engineering, Rheology, Materials Science, Polymer Physics, Design, and others.
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