东北大学学报（自然科学版）

东北大学学报（自然科学版） ›› 2013, Vol. 34 ›› Issue (12): 1787-1790.DOI: 10.12068/j.issn.1005-3026.2013.12.027

• 资源与土木工程 • 上一篇    下一篇

一个新的D-P类准则及其应用

曾新发1，彭振斌1，何杰2，彭凯3   

  1. (1中南大学地球科学与信息物理学院，湖南长沙410083；2湖南工业大学土木工程学院，湖南株洲412007；3中国水电顾问集团中南勘测设计研究院，湖南长沙410014)
  • 发布日期:2013-07-09
  • 通讯作者: 曾新发
  • 作者简介:曾新发(1977-)，男，湖南邵阳人，中南大学博士研究生；彭振斌(1952-)，男，湖南宁乡人，中南大学教授，博士生导师.
  • 基金资助:
    国家自然科学基金资助项目(51108176).

A New DrukerPrager Type Criterion and Its Implementation〓

ZENG Xinfa1， PENG Zhenbin1， HE Jie2， PENG Kai3   

  1. 1. School of Geoscience and InfoPhysics， Central South University， Changsha 410083， China； 2. School of Civil Engineering， Hunan University of Technology， Zhuzhou 412007， China； 3HYDROCHINA MidSouth Engineering Corporation， Changsha 410014， China.
  • Published:2013-07-09
  • Contact: ZENG Xinfa
  • About author:-
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摘要： 基于MohrCoulomb(M-C)准则及平面应变条件，建立了非关联流动法则的D-P准则.该准则引入了塑性体积应变，所求的塑性体积应变增量和M-C准则相等，在π平面上，当应力罗德角小于零时，建议的D-P准则与以往的外角外接圆及内切圆相比，能更好地反映土体应力应变的实际特性.在边坡稳定分析中，相比其他D-P类准则，建议的D-P准则计算得到的边坡稳定安全系数与条分法结果十分吻合.在地基极限荷载的求解上，所得的极限荷载与滑移线场与Prandtl理论解趋于一致.

关键词: 屈服准则, 剪胀角, 非关联流动法则, 塑性势函数

Abstract: Based on MohrCoulomb(MC)criterion and plane strain condition， a new DruckerPrager(DP) type criterion under nonassociated flow rule is presented. In the new DP criterion the volumetric plastic strain is introduced and its increment equals to that of the MC criterion. Based on the analysis on π plane， it is found that the proposed DP type criterion is better than the DP criterion compared to the MC circumscribed circle or MC inscribed circle when it is applicable to the conditions for stress Lode angle less than zero. Both theoretical and numerical analysis show that this criterion exactly matches with MohrCoulomb criterion in the predicted slope safety factor， agreeing well with that by Spencer method， and it is more accurate than those from classic DP criteria. Both ultimate load and the slip line field obtained from the proposed criterion in analysis of foundation are in agreement with theoretical solution of Prandtl.

Key words: yield criterion, dilatancy angle, nonassociation flow rule, plastic potential function

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