›› 2013, Vol. 34 ›› Issue (6): 1521-1528.

• 基础理论与实验研究 •    下一篇

基于广义位势理论的类剑桥模型

杨光华1, 2, 3, 4,温 勇1,钟志辉1   

  1. 1.武汉大学 土木建筑工程学院,武汉 430072;2.广东省水利水电科学研究院,广州 510610; 3.广东省岩土工程技术研究中心,广州 510610;4.广东省突发公共事件应急技术研究中心,广州 510610
  • 收稿日期:2012-10-14 出版日期:2013-06-10 发布日期:2013-06-14
  • 作者简介:杨光华,男,1962年生,博士,教授级高级工程师、博士生导师,主要从事土的本构理论、深基坑工程、高层建筑基础工程及软土工程方面的科研和设计工作。
  • 基金资助:

    中央高校基本科研业务费专项资金资助(No. 2012210020203);广东省公路管理局科技项目(粤公研2012-7)。

Similar Cam-clay model based on generalized potential theory

YANG Guang-hua1, 2, 3, 4, WEN Yong1, ZHONG Zhi-hui1   

  1. 1. School of Civil and Architectural Engineering, Wuhan University, Wuhan 430072, China; 2. Guangdong Research Institute of Water Resources and Hydropower, Guangzhou 510610, China; 3. Geotechnical Engineering Technology Center of Guangdong Province, Guangzhou 510610, China; 4. The Emergency Technology Research Center of Guangdong Province for Public Events, Guangzhou, 510610, China
  • Received:2012-10-14 Online:2013-06-10 Published:2013-06-14

摘要: 广义位势理论直接从数学原理出发建立本构模型,避开了传统塑性理论中塑性势函数等复杂概念,为研究岩土本构模型提供了新的思路。基于广义位势理论中土的应力空间多重势面模型,对剑桥模型“能量方程假设”的数学原理进行分析,从数学角度上建立了一个改进的剑桥模型(即类剑桥模型),而修正剑桥模型等可作为其特例。利用不同应力路径下的试验数据对其合理性进行验证,并与剑桥模型进行对比分析。结果表明:类剑桥模型的参数确定方便、自由,计算结果与试验较一致,甚至优于修正剑桥模型;类剑桥模型所采用的数学原理更明确,且避免了确定塑性势函数和能量方程的困难及其所带来的误差,是一个具有较好实用价值的模型。

关键词: 广义位势理论, 多重势面模型, 类剑桥模型, 能量方程假设

Abstract: The constitutive model based on the generalized potential theory is established directly by mathematical methods, and the complicated concepts such as plastic potential functions in traditional plasticity theory are avoided, which gives a new approach to study the soil constitutive model. Through the multi-potential surface model in stress space of the generalized potential theory, mathematical principle of the energy equation hypothesis in the Cam-clay model is analyzed and a similar Cam-clay model is established by mathematical methods, in which the modified Cam-clay model etc. can be regarded as its special cases. Rationality of the proposed model is verified through experimental data under the condition of different stress paths; and it is also compared with the Cam-clay model. The results show that parameters of the proposed model can be determined conveniently and freely; and the calculated results agree with experimental ones, which even better than those calculated by the modified Cam-clay model. Mathematical principle of the proposed model is more clear and the difficulties and errors which are brought by the determination of plastic potential functions and energy equation are avoided; it is proved that the proposed model has better practical value.

Key words: generalized potential theory, multi-potential surface model, similar Cam-clay model, energy equation hypothesis

中图分类号: 

  • TU 452
[1] 介玉新, 张延亿, 杨光华, . 土石料湿化变形计算方法探讨[J]. 岩土力学, 2019, 40(S1): 11-20.
[2] 温 勇,杨光华,汤连生,钟志辉,姚 捷,. 基于广义位势理论的土的数值弹塑性模型及其初步应用研究[J]. , 2016, 37(5): 1324-1332.
[3] 温 勇 ,杨光华 ,钟志辉 ,傅旭东 ,张玉成 , . 基于广义位势理论的土的非共轴特性研究[J]. , 2014, 35(S1): 8-14.
[4] 周爱兆 ,卢廷浩 ,姜朋明 . 基于广义位势理论的接触面本构模型一般表述[J]. , 2012, 33(9): 2656-2662.
[5] 介玉新,杨光华. 基于广义位势理论的弹塑性模型的修正方法[J]. , 2010, 31(S2): 38-42.
[6] 杨光华 , 李广信 . 岩土本构模型的数学基础与广义位势理论[J]. , 2002, 23(5): 531-535.
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