{"title":"非均匀固体中波相互作用的共振现象108 - 115","authors":"A. Braunbrück, A. Ravasoo","doi":"10.3176/phys.math.2007.2.06","DOIUrl":null,"url":null,"abstract":"A nonlinear elastic material with weakly inhomogeneous properties is considered. The counter-propagation and interaction of two waves are studied. The perturbative analytical solution is derived to describe an initial stage of the propagation, interaction, and reflection of waves. The phenomenon of interaction resonance is captured numerically. Numerical analysis clarifies the character of wave interaction resonances versus the parameters of a weakly inhomogeneous material.","PeriodicalId":308961,"journal":{"name":"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics","volume":"122 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Resonance phenomenon of wave interaction in inhomogeneous solids; 108–115\",\"authors\":\"A. Braunbrück, A. Ravasoo\",\"doi\":\"10.3176/phys.math.2007.2.06\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A nonlinear elastic material with weakly inhomogeneous properties is considered. The counter-propagation and interaction of two waves are studied. The perturbative analytical solution is derived to describe an initial stage of the propagation, interaction, and reflection of waves. The phenomenon of interaction resonance is captured numerically. Numerical analysis clarifies the character of wave interaction resonances versus the parameters of a weakly inhomogeneous material.\",\"PeriodicalId\":308961,\"journal\":{\"name\":\"Proceedings of the Estonian Academy of Sciences. Physics. Mathematics\",\"volume\":\"122 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"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.2007.2.06\",\"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.2007.2.06","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Resonance phenomenon of wave interaction in inhomogeneous solids; 108–115
A nonlinear elastic material with weakly inhomogeneous properties is considered. The counter-propagation and interaction of two waves are studied. The perturbative analytical solution is derived to describe an initial stage of the propagation, interaction, and reflection of waves. The phenomenon of interaction resonance is captured numerically. Numerical analysis clarifies the character of wave interaction resonances versus the parameters of a weakly inhomogeneous material.
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