岩土力学 ›› 2020, Vol. 41 ›› Issue (5): 1474-1482.doi: 10.16285/j.rsm.2019.1230

• 基础理论与实验研究 • 上一篇    下一篇

一种旋转塑性势面模型及非关联塑性流动法则

徐日庆1, 2,蒋佳琪1, 2,冯苏阳1, 2,鞠露莹1, 2   

  1. 1. 浙江大学 滨海和城市岩土工程研究中心,浙江 杭州 310058;2. 浙江省城市地下空间开发工程技术中心,浙江 杭州 310058
  • 收稿日期:2019-07-15 修回日期:2019-09-16 出版日期:2020-05-11 发布日期:2020-07-07
  • 通讯作者: 蒋佳琪,男,1990年生,博士生研究生,主要从事软土本构模拟研究工作。E-mail:jiangjiaqi@zju.edu.cn E-mail:xurq@zju.edu.cn
  • 作者简介:徐日庆,男,1962年生,博士,教授,博士生导师,主要从事土的工程性质和本构模型等方面的教学与研究工作
  • 基金资助:
    国家自然科学基金(No. 41672264);浙江省重点研发计划(No. 2019C03103);中央高校基本科研业务费专项资金(No. 2019QNA4041)

A rotational plastic potential model and non-associated plastic flow rule

XU Ri-qing1, 2, JIANG Jia-qi1, 2, FENG Su-yang1, 2, JU Lu-ying1, 2   

  1. 1. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou, Zhejiang 310058, China; 2. Engineering Research Center of Urban Underground Development of Zhejiang Province, Hangzhou, Zhejiang 310058, China
  • Received:2019-07-15 Revised:2019-09-16 Online:2020-05-11 Published:2020-07-07
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (41672264), the Key Research and Development Program of Zhejiang Province (2019C03103) and the Special Funds for Fundamental Research Business Expenses of Central Colleges and Universities (2019QNA4041).

摘要: 为了较好地描述软土塑性应变发展规律,提出了一种改进的塑性流动模型。该模型采用了与屈服函数形式相同,但具有一定倾角 的塑性势函数。土体在变形过程中,塑性流动方向会依赖于塑性势面的旋转而变化,直至达到破坏状态。通过对常规三轴试验结果的分析可以发现:在剪切过程中,塑性势面旋转角的初值 与终值 较为稳定,不受围压变化影响。在此试验观察基础上,引入了归一化的旋转角参数 以及描述土体应力状态的参数 ,在采用蛋形势函数的情况下二者具有良好的分段线性关系。利用该关系,建立了改进的塑性流动法则,只需要2个额外的模型参数。对所提出的塑性流动模型进行了验证,计算结果表明该模型能较好地反映塑性应变的变化趋势。

关键词: 非关联塑性流动法则, 旋转塑性势面, 蛋形函数, 应力状态

Abstract: In order to accurately describe the evolution of plastic strain for soft soil, an improved plastic potential theory is proposed, in which a plastic potential surface with an inclination angle is employed. In addition, the plastic potential function shares the same form as the yield function. During deformation, the plastic flow direction varies following the rotation of the plastic potential surface until the limit state is reached. By analyzing the results of conventional triaxial tests, it can be found that during the shearing process, the initial and final values of the rotation angle of the plastic potential surface and , are basically stable and independent on the confining pressure. Considering such observations, a normalized rotation angle and a state parameter describing the stress state of the soil are introduced, in the case that the egg-shaped function is used as plastic potential function. A piecewise linear relationship can be obtained. Then an improved plastic flow rule is established, only two additional parameters are required. Finally, the proposed plastic flow model is verified, and the results show that the trend of plastic strain can be reflected well in this model.

Key words: non-associated plastic flow rule, rotational plastic potential surface, egg-shaped function, stress state

中图分类号: TU 31
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