{"title":"粘弹性板的动态接触模型","authors":"Mircea Sofonea;Krzysztof Bartosz","doi":"10.1093/qjmam/hbw013","DOIUrl":null,"url":null,"abstract":"We introduce a mathematical model that describes the evolution of a viscoelastic plate in frictionless contact with a deformable foundation. The process is dynamic, the contact is with normal compliance and is modelled with a subdifferentiable boundary condition. We derive a variational formulation of the problem which has the form of a second-order evolutionary hemivariational inequality for the displacement field. Then, we establish the existence of a weak solution to the model.","PeriodicalId":92460,"journal":{"name":"The quarterly journal of mechanics and applied mathematics","volume":"70 1","pages":"1-19"},"PeriodicalIF":0.8000,"publicationDate":"2017-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/qjmam/hbw013","citationCount":"4","resultStr":"{\"title\":\"A dynamic contact model for viscoelastic plates\",\"authors\":\"Mircea Sofonea;Krzysztof Bartosz\",\"doi\":\"10.1093/qjmam/hbw013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce a mathematical model that describes the evolution of a viscoelastic plate in frictionless contact with a deformable foundation. The process is dynamic, the contact is with normal compliance and is modelled with a subdifferentiable boundary condition. We derive a variational formulation of the problem which has the form of a second-order evolutionary hemivariational inequality for the displacement field. Then, we establish the existence of a weak solution to the model.\",\"PeriodicalId\":92460,\"journal\":{\"name\":\"The quarterly journal of mechanics and applied mathematics\",\"volume\":\"70 1\",\"pages\":\"1-19\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2017-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1093/qjmam/hbw013\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The quarterly journal of mechanics and applied mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/8152993/\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The quarterly journal of mechanics and applied mathematics","FirstCategoryId":"1085","ListUrlMain":"https://ieeexplore.ieee.org/document/8152993/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We introduce a mathematical model that describes the evolution of a viscoelastic plate in frictionless contact with a deformable foundation. The process is dynamic, the contact is with normal compliance and is modelled with a subdifferentiable boundary condition. We derive a variational formulation of the problem which has the form of a second-order evolutionary hemivariational inequality for the displacement field. Then, we establish the existence of a weak solution to the model.
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