{"title":"Conditions for embedding Casagrande's critical states into hypoplasticity","authors":"E. Bauer","doi":"10.1002/(SICI)1099-1484(200002)5:2<125::AID-CFM85>3.0.CO;2-0","DOIUrl":null,"url":null,"abstract":"<p>Conditions for a consistent description of stationary states within the framework of a certain class of hypoplastic constitutive models are presented. The constitutive equation is of the rate type and incrementally non-linear. Casagrande's critical state concept is embedded in the model, which is also apt to describe contractant and dilatant behaviour. The adaptation of various predefined limit conditions with smooth and conical critical stress surfaces is outlined in detail. For large deformations with rotations of the principal axes, the objective stress rate given by Green and Naghdi is proposed instead of the objective stress rate given by Zaremba and Jaumann. Finally, the response of the constitutive equation for large shearing is compared with experimental results. Copyright © 2000 John Wiley & Sons, Ltd.</p>","PeriodicalId":100899,"journal":{"name":"Mechanics of Cohesive-frictional Materials","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2000-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/(SICI)1099-1484(200002)5:2<125::AID-CFM85>3.0.CO;2-0","citationCount":"84","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%28200002%295%3A2%3C125%3A%3AAID-CFM85%3E3.0.CO%3B2-0","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 84
Abstract
Conditions for a consistent description of stationary states within the framework of a certain class of hypoplastic constitutive models are presented. The constitutive equation is of the rate type and incrementally non-linear. Casagrande's critical state concept is embedded in the model, which is also apt to describe contractant and dilatant behaviour. The adaptation of various predefined limit conditions with smooth and conical critical stress surfaces is outlined in detail. For large deformations with rotations of the principal axes, the objective stress rate given by Green and Naghdi is proposed instead of the objective stress rate given by Zaremba and Jaumann. Finally, the response of the constitutive equation for large shearing is compared with experimental results. Copyright © 2000 John Wiley & Sons, Ltd.
将Casagrande临界状态嵌入低塑性的条件
给出了在一类亚塑性本构模型框架内对稳态进行一致描述的条件。本构方程是速率型的,并且是增量非线性的。Casagrande的临界状态概念嵌入了模型中,也适用于描述收缩和膨胀行为。详细概述了各种预定义极限条件与光滑和锥形临界应力表面的适应性。对于主轴旋转的大变形,提出了Green和Naghdi给出的目标应力率,而不是Zaremba和Jaumann给出的目标应该力率。最后,将大剪切本构方程的响应与实验结果进行了比较。版权所有©2000 John Wiley&;有限公司。
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