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{"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}
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Abstract
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.
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.
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.
原生砂弹塑性模型增量响应的唯一性研究
本文研究了在相同的增量荷载作用下,土样出现多重均匀响应的可能性,以及与之相关的加载路径的不可控性。结果表明,对于非相关弹塑性应变硬化本构律,即使在硬化状态下也存在这种可能性。只有当刚度矩阵为正定时,增量解对任何加载方案都是唯一的。选择了特定的本构模型,计算了不同加载方案的非唯一性位点的形状。结果表明,在三轴不排水试验中出现剪切带和偏差应力峰值的条件可以看作是所提出理论的特殊情况。因此,在不排水条件下所谓的“不稳定线”概念被推广。©1998 by John Wiley &儿子,有限公司
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