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岩土材料在非关联流动法则下剪胀角选取探讨

孔位学 芮勇勤 董宝弟

岩土力学2009,Vol.30Issue(11):3278-3282,5.
岩土力学2009,Vol.30Issue(11):3278-3282,5.

岩土材料在非关联流动法则下剪胀角选取探讨

Determination of dilatancy angle for geomaterials under non-associated flow rule

孔位学 1芮勇勤 2董宝弟3

作者信息

  • 1. 道路灾变防治及交通安全教育部工程研究中心,长沙,410004
  • 2. 国防科技大学,指挥军官基础教育学院,长沙,410072
  • 3. 东北大学,资源与土木工程学院,沈阳,110004
  • 折叠

摘要

Abstract

Geomaterials are factional materials, and their strength indexes play a key role in depicting strength characteristics. Illegible knowledge on dilatancy angle has existed for a long time, which caused large errors in theoretical analysis and numerical simulation. It was proved with the generalized geotechnical plastic mechanics principle that the angle of dilatancy should be φ/2 and the corresponding volumetric strain is zero for geomaterials under non-associated flow rule, based on traditional slip line theory. The classic foundation bearing capacity topic of Prandtl's solution, which has accurate theoretical interpretation, was analyzed systematically with step loading finite elements under the following three conditions: 1) associated flow rule, 2) non-associated flow rule with the dilatancy of φ/2 and 3) non-associated flow rule with the dilatancy of 0. Results showed that the errors of ultimate capacity obtained under the above three conditions were within 2 %, but the slip line fields were quite different. The slip line field obtained under-eonditon 2) was identical with that by Prandtl's solution, but a large deviation existed between condition 3) and Prandtl's solution. Thus a correct ultimate load and a slip line field with a great error can be acquired under condition 3), but both are precise under condition 2). Therefore, the angle of dilatancy should be φ/2, not 0 widely used at present when non-associated flow rule is applied.

关键词

岩土材料/非关联流动法则/剪胀角/滑移线理论

Key words

geomaterial/ non-associated flow rule/ dilatancy angle/ slip line theory

分类

数理科学

引用本文复制引用

孔位学,芮勇勤,董宝弟..岩土材料在非关联流动法则下剪胀角选取探讨[J].岩土力学,2009,30(11):3278-3282,5.

基金项目

长沙理工大学道路灾变防治及交通安全教育部工程研究中心开放基金资助项目(No.kfj080302) (No.kfj080302)

国家高技术研究发展计划(863)项目(No.2006AA12Z156). (863)

岩土力学

OA北大核心CSCDCSTPCD

1000-7598

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