Pierre Gilormini , Renald Brenner , Olivier Castelnau
{"title":"自洽模型的经典割延与修正割延之间的相似性","authors":"Pierre Gilormini , Renald Brenner , Olivier Castelnau","doi":"10.1016/S1620-7742(01)01362-9","DOIUrl":null,"url":null,"abstract":"<div><p>The first and second moments of the strain (or stress) fields predicted by the classical and modified secant extensions of the self-consistent model in isotropic mixtures of isotropic incompressible power-law phases are shown to be identical if the same macroscopic strain (or stress) is applied. This proves directly that the modified extension does predict a softer overall behavior for such composites.</p></div>","PeriodicalId":100302,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics","volume":"329 7","pages":"Pages 523-527"},"PeriodicalIF":0.0000,"publicationDate":"2001-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01362-9","citationCount":"5","resultStr":"{\"title\":\"A similarity between the classical and modified secant extensions of the self-consistent model\",\"authors\":\"Pierre Gilormini , Renald Brenner , Olivier Castelnau\",\"doi\":\"10.1016/S1620-7742(01)01362-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The first and second moments of the strain (or stress) fields predicted by the classical and modified secant extensions of the self-consistent model in isotropic mixtures of isotropic incompressible power-law phases are shown to be identical if the same macroscopic strain (or stress) is applied. This proves directly that the modified extension does predict a softer overall behavior for such composites.</p></div>\",\"PeriodicalId\":100302,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics\",\"volume\":\"329 7\",\"pages\":\"Pages 523-527\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S1620-7742(01)01362-9\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1620774201013629\",\"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","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1620774201013629","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A similarity between the classical and modified secant extensions of the self-consistent model
The first and second moments of the strain (or stress) fields predicted by the classical and modified secant extensions of the self-consistent model in isotropic mixtures of isotropic incompressible power-law phases are shown to be identical if the same macroscopic strain (or stress) is applied. This proves directly that the modified extension does predict a softer overall behavior for such composites.
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