{"title":"耗散微结构材料中的波传播","authors":"T. Sillat, J. Engelbrecht","doi":"10.3176/phys.math.2003.1.10","DOIUrl":null,"url":null,"abstract":"One-dimensional deformation waves in microstructured materials are described by an hierarchical evolution equation that clearly distinguishes macro- and microstructural behaviour. The pseudospectral method is used for numerical simulation supported by the analytical solution for the linear case. It is shown how dissipative effects on various scales affect the harmonic wave. The shock wave formation on macroscale is strongly influenced by the microstructure. The results of this study can be used for material processing.","PeriodicalId":308961,"journal":{"name":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","volume":"21 5","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Wave propagation in dissipative microstructured materials\",\"authors\":\"T. Sillat, J. Engelbrecht\",\"doi\":\"10.3176/phys.math.2003.1.10\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"One-dimensional deformation waves in microstructured materials are described by an hierarchical evolution equation that clearly distinguishes macro- and microstructural behaviour. The pseudospectral method is used for numerical simulation supported by the analytical solution for the linear case. It is shown how dissipative effects on various scales affect the harmonic wave. The shock wave formation on macroscale is strongly influenced by the microstructure. The results of this study can be used for material processing.\",\"PeriodicalId\":308961,\"journal\":{\"name\":\"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics\",\"volume\":\"21 5\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3176/phys.math.2003.1.10\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3176/phys.math.2003.1.10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Wave propagation in dissipative microstructured materials
One-dimensional deformation waves in microstructured materials are described by an hierarchical evolution equation that clearly distinguishes macro- and microstructural behaviour. The pseudospectral method is used for numerical simulation supported by the analytical solution for the linear case. It is shown how dissipative effects on various scales affect the harmonic wave. The shock wave formation on macroscale is strongly influenced by the microstructure. The results of this study can be used for material processing.
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