{"title":"波在多孔弹性材料中的传播——基于Biot理论的位移单元法","authors":"S. Ahsan, E. Deckers, C. Claeys, W. Desmet","doi":"10.1109/MetaMaterials.2019.8900854","DOIUrl":null,"url":null,"abstract":"In this paper, we propose a weak formulation for the Biot theory of poro-elastic materials to calculate the dispersion properties of non-trivial realization of porous material. This formulation considers the periodicity within the field variables which are solid displacements and pressure in pores, resulting in a quadratic eigenvalue problem in terms of wavenumber.","PeriodicalId":395568,"journal":{"name":"2019 Thirteenth International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials)","volume":"141 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Wave propagation in poro-elastic materials using a shifted cell method for theory of Biot\",\"authors\":\"S. Ahsan, E. Deckers, C. Claeys, W. Desmet\",\"doi\":\"10.1109/MetaMaterials.2019.8900854\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we propose a weak formulation for the Biot theory of poro-elastic materials to calculate the dispersion properties of non-trivial realization of porous material. This formulation considers the periodicity within the field variables which are solid displacements and pressure in pores, resulting in a quadratic eigenvalue problem in terms of wavenumber.\",\"PeriodicalId\":395568,\"journal\":{\"name\":\"2019 Thirteenth International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials)\",\"volume\":\"141 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 Thirteenth International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MetaMaterials.2019.8900854\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 Thirteenth International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MetaMaterials.2019.8900854","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Wave propagation in poro-elastic materials using a shifted cell method for theory of Biot
In this paper, we propose a weak formulation for the Biot theory of poro-elastic materials to calculate the dispersion properties of non-trivial realization of porous material. This formulation considers the periodicity within the field variables which are solid displacements and pressure in pores, resulting in a quadratic eigenvalue problem in terms of wavenumber.