{"title":"由三维非线性弹性推导出的通常线性板模型","authors":"Alain Cimetière, Aziz Hamdouni, Olivier Millet","doi":"10.1016/S1251-8069(99)89002-2","DOIUrl":null,"url":null,"abstract":"<div><p>A new justification of the two-dimensional linear Kirchhoff-Love plate model is given by asymptotic expansion of the nonlinear equilibrium equations. For weak level forces, the asymptotic analysis leads to the two-dimensional linear Kirchhoff-Love model, whereas for moderate level forces, it leads to the usual nonlinear two-dimensional plate model.</p></div>","PeriodicalId":100304,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy","volume":"326 3","pages":"Pages 159-162"},"PeriodicalIF":0.0000,"publicationDate":"1998-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1251-8069(99)89002-2","citationCount":"5","resultStr":"{\"title\":\"Le modèle linéaire usuel de plaque déduit de l'élasticité non linéaire tridimensionnelle\",\"authors\":\"Alain Cimetière, Aziz Hamdouni, Olivier Millet\",\"doi\":\"10.1016/S1251-8069(99)89002-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A new justification of the two-dimensional linear Kirchhoff-Love plate model is given by asymptotic expansion of the nonlinear equilibrium equations. For weak level forces, the asymptotic analysis leads to the two-dimensional linear Kirchhoff-Love model, whereas for moderate level forces, it leads to the usual nonlinear two-dimensional plate model.</p></div>\",\"PeriodicalId\":100304,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy\",\"volume\":\"326 3\",\"pages\":\"Pages 159-162\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S1251-8069(99)89002-2\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1251806999890022\",\"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-Chemistry-Astronomy","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1251806999890022","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Le modèle linéaire usuel de plaque déduit de l'élasticité non linéaire tridimensionnelle
A new justification of the two-dimensional linear Kirchhoff-Love plate model is given by asymptotic expansion of the nonlinear equilibrium equations. For weak level forces, the asymptotic analysis leads to the two-dimensional linear Kirchhoff-Love model, whereas for moderate level forces, it leads to the usual nonlinear two-dimensional plate model.
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