长江科学院院报 ›› 2022, Vol. 39 ›› Issue (7): 87-92.DOI: 10.11988/ckyyb.20210151

• 岩土工程 • 上一篇    下一篇

广义位势理论本构模型的开发和验证

钟志辉1, 杨光华2, 张玉成3, 温勇4, 官大庶5,6   

  1. 1.广州市宏禹水利水电勘测设计有限公司,广州 511458;
    2.广东省水利水电科学研究院,广州 510610;
    3.华南农业大学 水利与土木工程学院,广州 510642;
    4.仲恺农业工程学院 城乡建设学院,广州 510225;
    5.广东水利电力职业技术学院,广州 510610;
    6.中国矿业大学 深部岩土力学与地下工程国家重点实验室,江苏 徐州 221008
  • 收稿日期:2021-02-22 修回日期:2021-05-19 出版日期:2022-07-01 发布日期:2022-07-25
  • 通讯作者: 张玉成(1975-),男,内蒙古武川人,正高级工程师,博士后,从事岩土工程方面的研究工作。E-mail: 125340752@qq.com
  • 作者简介:钟志辉(1986-),男,广东东莞人,工程师,博士,主要从事岩土本构理论、边坡稳定性的研究工作。E-mail: 308820638@qq.com
  • 基金资助:
    国家自然科学基金项目(51778152);广东省基础与应用基础研究基金项目(2020A1515110215);2021年度广东水利电力职业技术学院教育教学改革研究与实践项目(GX0205JGXM003)

Development and Verification of Constitutive Models of Generalized Potential Theory

ZHONG Zhi-hui1, YANG Guang-hua2, ZHANG Yu-cheng3, WEN Yong4, GUAN Da-shu5,6   

  1. 1. Guangzhou Hongyu Water Conservancy and Hydropower Design Co., Ltd., Guangzhou 511458, China;
    2. Guangdong Research Institute of Water Resources and Hydropower, Guangzhou 510610, China;
    3. College of Water Conservancy and Civil Engineering, South China Agricultural University, Guangzhou 510642, China;
    4. College of Urban and Rural Construction, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, China;
    5. Guangdong Polytechnic of Water Resources and Electric Engineering, Guangzhou 510610, China;
    6. State Key Laboratory for Geomechanics & Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221008,China
  • Received:2021-02-22 Revised:2021-05-19 Published:2022-07-01 Online:2022-07-25

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摘要： 广义位势理论从数学原理出发,将主空间的应力应变关系转换成六维空间的应力应变关系,从而建立岩土材料的本构模型,具有明确的数学依据和更少的物理假设。然而,将广义位势理论的本构模型开发到大型数值分析软件,并在六维应力应变空间中进行数值计算和验证的工作尚不多。为此,介绍了广义位势理论的多重势面模型和二重势面模型,详细分析了2种模型用于数值计算的弹塑性矩阵,并以2个二重势面模型(不考虑剪胀性的类剑桥模型和考虑剪胀性的类剑桥模型)为例,在数值分析软件FLAC3D中实现2个模型的开发。将开发的本构模型在FLAC3D的六维应力应变空间中进行计算分析,通过对比数值计算结果和室内三轴试验成果,说明了广义位势理论的本构模型在六维应力应变空间的计算精度是较高的,从而验证了理论模型的科学性和开发软件的正确性。

关键词: 广义位势理论, 本构模型, 模型开发, 类剑桥模型, 六维应力应变空间

Abstract: In line with the mathematical principle, the generalized potential theory transforms the stress-strain relationship in the main space into stress-strain relationship in six-dimensional stress-strain space, thus establishing the constitutive model of rock and soil materials which has clear mathematical basis and fewer physical assumptions. However, few researches have been conducted to apply the constitutive model of generalized potential theory to large-scale numerical analysis software, let alone the numerical calculation and verification in the six-dimensional stress-strain space. In view of this, the multiple potential surface model and the double potential surface model of the generalized potential theory are introduced, and the elasto-plastic matrices of the two models used in numerical calculation are analyzed in detail. Two double potential surface models (the Similar Cam-clay model without dilatancy and the Similar Cam-clay model with dilatancy) are taken as examples to develop the model in numerical analysis software FLAC3D. The developed constitutive models are calculated and analyzed in the six-dimensional stress-strain space of FLAC3D. Comparison of the results of numerical calculation with the results of laboratory triaxial tests reveals high computational accuracy of the constitutive model of generalized potential theory in the six-dimensional stress-strain space, thus verifying the scientific nature of the theoretical model and the correctness of the development software.

Key words: generalized potential theory, constitutive model, model development, Similar Cam-clay model, six-dimensional stress-strain space

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