R. Décio Jr, L. D. Pérez-Fernández, J. Bravo-Castillero
{"title":"基于渐近均匀化方法的非完全接触非线性微周期复合材料的有效行为。","authors":"R. Décio Jr, L. D. Pérez-Fernández, J. Bravo-Castillero","doi":"10.5540/TCAM.2021.022.01.00079","DOIUrl":null,"url":null,"abstract":"The asymptotic homogenization method is applied here to one-dimensional boundary-value problems for nonlinear differential equations with rapidly oscillating piecewise-constant coefficients which model the behavior of nonlinear microperiodic composites, in order to assess the influence of interfacial imperfect contact on the effective behavior. In particular, a nonlinear power-law flux on the gradient of the unknown was considered. Several calculations were performed and are discussed at the end of this work, including a comparison of some results with variational ounds, which is also an important approach of this work.","PeriodicalId":45147,"journal":{"name":"TeMA-Journal of Land Use Mobility and Environment","volume":"4 1","pages":"79-90"},"PeriodicalIF":1.0000,"publicationDate":"2021-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Effective Behavior of Nonlinear Microperiodic Composites with Imperfect Contact Via the Asymptotic Homogenization Method.\",\"authors\":\"R. Décio Jr, L. D. Pérez-Fernández, J. Bravo-Castillero\",\"doi\":\"10.5540/TCAM.2021.022.01.00079\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The asymptotic homogenization method is applied here to one-dimensional boundary-value problems for nonlinear differential equations with rapidly oscillating piecewise-constant coefficients which model the behavior of nonlinear microperiodic composites, in order to assess the influence of interfacial imperfect contact on the effective behavior. In particular, a nonlinear power-law flux on the gradient of the unknown was considered. Several calculations were performed and are discussed at the end of this work, including a comparison of some results with variational ounds, which is also an important approach of this work.\",\"PeriodicalId\":45147,\"journal\":{\"name\":\"TeMA-Journal of Land Use Mobility and Environment\",\"volume\":\"4 1\",\"pages\":\"79-90\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2021-03-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"TeMA-Journal of Land Use Mobility and Environment\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5540/TCAM.2021.022.01.00079\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"URBAN STUDIES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"TeMA-Journal of Land Use Mobility and Environment","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5540/TCAM.2021.022.01.00079","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"URBAN STUDIES","Score":null,"Total":0}
Effective Behavior of Nonlinear Microperiodic Composites with Imperfect Contact Via the Asymptotic Homogenization Method.
The asymptotic homogenization method is applied here to one-dimensional boundary-value problems for nonlinear differential equations with rapidly oscillating piecewise-constant coefficients which model the behavior of nonlinear microperiodic composites, in order to assess the influence of interfacial imperfect contact on the effective behavior. In particular, a nonlinear power-law flux on the gradient of the unknown was considered. Several calculations were performed and are discussed at the end of this work, including a comparison of some results with variational ounds, which is also an important approach of this work.