{"title":"地下的电磁弹性波","authors":"David da Costa de Pinho, Viatcheslav Priimenko","doi":"10.32523/2306-6172-2023-11-3-98-115","DOIUrl":null,"url":null,"abstract":"The propagation of coupled mechanical and electromagnetic waves in a conducting elastic medium when the entire system is in an external magnetic field is considered. We use the mathematical model introduced by Dunkin and Eringen in 1963. The influence of an external magnetic field and medium parameters on the dispersion and attenuation of coupled electromagnetic and elastic waves is analyzed. We also simulated the propagation of coupled mechanical and electromagnetic waves in layered media using the Ursin method with a weak/strong external magnetic field. The results confirmed the effectiveness of using Ursin’s method in modeling magnetoelastic oscillations and can be used to analyze electrodynamic phenomena accompanying disturbances of the geomagnetic field during the movement of the conducting layers of the Earth.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":"123 1","pages":"0"},"PeriodicalIF":0.6000,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ELECTROMAGNETOELASTIC WAVES IN EARTH’S SUBSURFACE\",\"authors\":\"David da Costa de Pinho, Viatcheslav Priimenko\",\"doi\":\"10.32523/2306-6172-2023-11-3-98-115\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The propagation of coupled mechanical and electromagnetic waves in a conducting elastic medium when the entire system is in an external magnetic field is considered. We use the mathematical model introduced by Dunkin and Eringen in 1963. The influence of an external magnetic field and medium parameters on the dispersion and attenuation of coupled electromagnetic and elastic waves is analyzed. We also simulated the propagation of coupled mechanical and electromagnetic waves in layered media using the Ursin method with a weak/strong external magnetic field. The results confirmed the effectiveness of using Ursin’s method in modeling magnetoelastic oscillations and can be used to analyze electrodynamic phenomena accompanying disturbances of the geomagnetic field during the movement of the conducting layers of the Earth.\",\"PeriodicalId\":42910,\"journal\":{\"name\":\"Eurasian Journal of Mathematical and Computer Applications\",\"volume\":\"123 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Eurasian Journal of Mathematical and Computer Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.32523/2306-6172-2023-11-3-98-115\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Eurasian Journal of Mathematical and Computer Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32523/2306-6172-2023-11-3-98-115","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
The propagation of coupled mechanical and electromagnetic waves in a conducting elastic medium when the entire system is in an external magnetic field is considered. We use the mathematical model introduced by Dunkin and Eringen in 1963. The influence of an external magnetic field and medium parameters on the dispersion and attenuation of coupled electromagnetic and elastic waves is analyzed. We also simulated the propagation of coupled mechanical and electromagnetic waves in layered media using the Ursin method with a weak/strong external magnetic field. The results confirmed the effectiveness of using Ursin’s method in modeling magnetoelastic oscillations and can be used to analyze electrodynamic phenomena accompanying disturbances of the geomagnetic field during the movement of the conducting layers of the Earth.
期刊介绍：
Eurasian Journal of Mathematical and Computer Applications (EJMCA) publishes carefully selected original research papers in all areas of Applied mathematics first of all from Europe and Asia. However papers by mathematicians from other continents are also welcome. From time to time Eurasian Journal of Mathematical and Computer Applications (EJMCA) will also publish survey papers. Eurasian Mathematical Journal publishes 4 issues in a year. A working language of the journal is English. Main topics are: - Mathematical methods and modeling in mechanics, mining, biology, geophysics, electrodynamics, acoustics, industry. - Inverse problems of mathematical physics: theory and computational approaches. - Medical and industry tomography. - Computer applications: distributed information systems, decision-making systems, embedded systems, information security, graphics.
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