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{"title":"原生砂弹塑性模型增量响应的唯一性研究","authors":"Silvia Imposimato, Roberto Nova","doi":"10.1002/(SICI)1099-1484(199801)3:1<65::AID-CFM42>3.0.CO;2-9","DOIUrl":null,"url":null,"abstract":"<p>The paper investigates the possibility of the occurrence of a multiplicity of homogeneous responses of soil specimens under the same incremental loading, and the associated non-controllability of the imposed loading path.</p><p>It is shown that for non-associated elastoplastic strain-hardening constitutive laws, such a possibility exists even in the hardening regime. Only when the stiffness matrix is positive-definite is the incremental solution unique for any loading programme.</p><p>A particular constitutive model is chosen and the shape of the loci of non-uniqueness is calculated for various loading programmes. It is shown that the conditions for the occurrence of a shear band and of a peak of the deviator stress in a triaxial undrained test can be seen as special cases of the theory presented. Accordingly, the so-called ‘instability line’ concept in undrained conditions is generalized. © 1998 by John Wiley & Sons, Ltd.</p>","PeriodicalId":100899,"journal":{"name":"Mechanics of Cohesive-frictional Materials","volume":"3 1","pages":"65-87"},"PeriodicalIF":0.0000,"publicationDate":"1999-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/(SICI)1099-1484(199801)3:1<65::AID-CFM42>3.0.CO;2-9","citationCount":"111","resultStr":"{\"title\":\"An investigation on the uniqueness of the incremental response of elastoplastic models for virgin sand\",\"authors\":\"Silvia Imposimato, Roberto Nova\",\"doi\":\"10.1002/(SICI)1099-1484(199801)3:1<65::AID-CFM42>3.0.CO;2-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The paper investigates the possibility of the occurrence of a multiplicity of homogeneous responses of soil specimens under the same incremental loading, and the associated non-controllability of the imposed loading path.</p><p>It is shown that for non-associated elastoplastic strain-hardening constitutive laws, such a possibility exists even in the hardening regime. Only when the stiffness matrix is positive-definite is the incremental solution unique for any loading programme.</p><p>A particular constitutive model is chosen and the shape of the loci of non-uniqueness is calculated for various loading programmes. It is shown that the conditions for the occurrence of a shear band and of a peak of the deviator stress in a triaxial undrained test can be seen as special cases of the theory presented. Accordingly, the so-called ‘instability line’ concept in undrained conditions is generalized. © 1998 by John Wiley & Sons, Ltd.</p>\",\"PeriodicalId\":100899,\"journal\":{\"name\":\"Mechanics of Cohesive-frictional Materials\",\"volume\":\"3 1\",\"pages\":\"65-87\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-05-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1002/(SICI)1099-1484(199801)3:1<65::AID-CFM42>3.0.CO;2-9\",\"citationCount\":\"111\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mechanics of Cohesive-frictional Materials\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/%28SICI%291099-1484%28199801%293%3A1%3C65%3A%3AAID-CFM42%3E3.0.CO%3B2-9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mechanics of Cohesive-frictional Materials","FirstCategoryId":"1085","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/%28SICI%291099-1484%28199801%293%3A1%3C65%3A%3AAID-CFM42%3E3.0.CO%3B2-9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 111
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