{"title":"Adhesive Contact of Rigid Disk Inclusion with Boundary Fracture Embedded in a Piezoelectric Material","authors":"Ali Khojasteh, Hossein Kharrazi","doi":"10.1007/s10659-025-10111-1","DOIUrl":null,"url":null,"abstract":"<div><p>An analytical solution is presented for adhesive contact of a rigid disc inclusion embedded in a penny-shaped crack in a transversely isotropic piezoelectric material. By virtue of Hankel transforms and a method of potentials, the mixed boundary-value problem is formulated as dual and triple integral equations, which, in turn, are reduced to Fredholm integral equations. The results of primary interest to engineering applications, namely, the total indentation load, the total electric charge, and stress intensity factor at the tip of the crack are evaluated as integral equations in terms of dimensionless parameters. Finally, to reveal the efficacy of the proposed method and also to verify it, comparison is made with indentation solutions in transversely isotropic and isotropic media.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 1","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Elasticity","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10659-025-10111-1","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
An analytical solution is presented for adhesive contact of a rigid disc inclusion embedded in a penny-shaped crack in a transversely isotropic piezoelectric material. By virtue of Hankel transforms and a method of potentials, the mixed boundary-value problem is formulated as dual and triple integral equations, which, in turn, are reduced to Fredholm integral equations. The results of primary interest to engineering applications, namely, the total indentation load, the total electric charge, and stress intensity factor at the tip of the crack are evaluated as integral equations in terms of dimensionless parameters. Finally, to reveal the efficacy of the proposed method and also to verify it, comparison is made with indentation solutions in transversely isotropic and isotropic media.
期刊介绍：
The Journal of Elasticity was founded in 1971 by Marvin Stippes (1922-1979), with its main purpose being to report original and significant discoveries in elasticity. The Journal has broadened in scope over the years to include original contributions in the physical and mathematical science of solids. The areas of rational mechanics, mechanics of materials, including theories of soft materials, biomechanics, and engineering sciences that contribute to fundamental advancements in understanding and predicting the complex behavior of solids are particularly welcomed. The role of elasticity in all such behavior is well recognized and reporting significant discoveries in elasticity remains important to the Journal, as is its relation to thermal and mass transport, electromagnetism, and chemical reactions. Fundamental research that applies the concepts of physics and elements of applied mathematical science is of particular interest. Original research contributions will appear as either full research papers or research notes. Well-documented historical essays and reviews also are welcomed. Materials that will prove effective in teaching will appear as classroom notes. Computational and/or experimental investigations that emphasize relationships to the modeling of the novel physical behavior of solids at all scales are of interest. Guidance principles for content are to be found in the current interests of the Editorial Board.
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