{"title":"裂纹类夹杂物结构三维弹性超材料的声滤波性能","authors":"I. Zhbadynskyi, V. Mykhas’kiv","doi":"10.1109/DIPED.2018.8543137","DOIUrl":null,"url":null,"abstract":"Normal penetration of time-harmonic longitudinal elastic wave through the equidistant planes with the double-periodic crack-like inclusions in 3D metamaterial is considered. Spring-like boundary conditions are used for modeling the obstacles and wide-spacing approximation is adopted for the determination of wave reflection and transmission coefficients in the structure. Then involved scattering matrix for a single plane of inclusions is defined numerically by the boundary integral equation method (BIEM). The frequency intervals with total wave reflection are revealed and studied depending on the inclusion rigidity and a number of inclusion planes.","PeriodicalId":146873,"journal":{"name":"2018 XXIIIrd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)","volume":"189 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Acoustic Filtering Properties of 3D Elastic Metamaterials Structured by Crack-Like Inclusions\",\"authors\":\"I. Zhbadynskyi, V. Mykhas’kiv\",\"doi\":\"10.1109/DIPED.2018.8543137\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Normal penetration of time-harmonic longitudinal elastic wave through the equidistant planes with the double-periodic crack-like inclusions in 3D metamaterial is considered. Spring-like boundary conditions are used for modeling the obstacles and wide-spacing approximation is adopted for the determination of wave reflection and transmission coefficients in the structure. Then involved scattering matrix for a single plane of inclusions is defined numerically by the boundary integral equation method (BIEM). The frequency intervals with total wave reflection are revealed and studied depending on the inclusion rigidity and a number of inclusion planes.\",\"PeriodicalId\":146873,\"journal\":{\"name\":\"2018 XXIIIrd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)\",\"volume\":\"189 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 XXIIIrd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DIPED.2018.8543137\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 XXIIIrd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.2018.8543137","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Acoustic Filtering Properties of 3D Elastic Metamaterials Structured by Crack-Like Inclusions
Normal penetration of time-harmonic longitudinal elastic wave through the equidistant planes with the double-periodic crack-like inclusions in 3D metamaterial is considered. Spring-like boundary conditions are used for modeling the obstacles and wide-spacing approximation is adopted for the determination of wave reflection and transmission coefficients in the structure. Then involved scattering matrix for a single plane of inclusions is defined numerically by the boundary integral equation method (BIEM). The frequency intervals with total wave reflection are revealed and studied depending on the inclusion rigidity and a number of inclusion planes.