{"title":"弹性固体中的非线性波","authors":"Alexei V. Porubov , Manuel G. Velarde","doi":"10.1016/S1287-4620(00)00109-5","DOIUrl":null,"url":null,"abstract":"<div><p>We describe the nonlinear dispersive dissipative evolution of strain waves in a solid in the limiting condition <em>B</em>∼<em>O</em>(<em>R</em>/<em>L</em>), where <em>B</em> is the characteristic amplitude of the wave, <em>L</em> its wavelength and <em>R</em> the radius of a solid rod. We also provide conditions on dissipation and dispersion for the propagation of either shocks or solitary waves of permanent form.</p></div>","PeriodicalId":100303,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy","volume":"328 2","pages":"Pages 165-170"},"PeriodicalIF":0.0000,"publicationDate":"2000-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1287-4620(00)00109-5","citationCount":"4","resultStr":"{\"title\":\"On nonlinear waves in an elastic solid\",\"authors\":\"Alexei V. Porubov , Manuel G. Velarde\",\"doi\":\"10.1016/S1287-4620(00)00109-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We describe the nonlinear dispersive dissipative evolution of strain waves in a solid in the limiting condition <em>B</em>∼<em>O</em>(<em>R</em>/<em>L</em>), where <em>B</em> is the characteristic amplitude of the wave, <em>L</em> its wavelength and <em>R</em> the radius of a solid rod. We also provide conditions on dissipation and dispersion for the propagation of either shocks or solitary waves of permanent form.</p></div>\",\"PeriodicalId\":100303,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy\",\"volume\":\"328 2\",\"pages\":\"Pages 165-170\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S1287-4620(00)00109-5\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1287462000001095\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Astronomy","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1287462000001095","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We describe the nonlinear dispersive dissipative evolution of strain waves in a solid in the limiting condition B∼O(R/L), where B is the characteristic amplitude of the wave, L its wavelength and R the radius of a solid rod. We also provide conditions on dissipation and dispersion for the propagation of either shocks or solitary waves of permanent form.
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