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冰川冻土 ›› 2020, Vol. 42 ›› Issue (2): 550-561.doi: 10.7522/j.issn.1000-0240.2020.0018

• 寒区工程与灾害 • 上一篇    下一篇

球模仪测试冻土松弛模量的非线性Kelvin解答及其试验研究

黄灿杰1,2(), 张泽2,3(), 金会军1,2,3, 冯文杰2, 金豆豆2,4, MELNIKOV Andrey5   

  1. 1.哈尔滨工业大学 土木工程学院,黑龙江 哈尔滨 150090
    2.中国科学院 西北生态环境资源研究院 冻土工程国家重点实验室,甘肃 兰州 730000
    3.东北林业大学 土木工程学院/寒区工程与科学技术研究院,黑龙江 哈尔滨 150040
    4.中国科学院大学,北京 100049
    5.俄罗斯科学院 西伯利亚分院 梅尔尼科夫冻土研究所,俄罗斯 雅库茨克 117997
  • 收稿日期:2019-12-02 修回日期:2020-04-22 出版日期:2020-08-31 发布日期:2020-09-11
  • 通讯作者: 张泽 E-mail:15014252819@163.com;zhangze@lzb.ac.cn
  • 作者简介:黄灿杰(1992 - ), 男, 广东汕尾人, 2017年在广东工业大学获学士学位, 现为哈尔滨工业大学在读硕士研究生, 从事冻土物理力学研究. E-mail: 15014252819@163.com
  • 基金资助:
    国家自然科学基金项目(41771078);中国科学院国际合作局对外合作重点项目(131B62KYSB20170012);国家自然科学基金中俄交流项目(4191101321);Russian基金项目:Foundation for Basic Research(20-55-53006)

Nonlinear Kelvin model solution of frozen soil relaxation modulus and experimental study based on spherical template indenter

Canjie HUANG1,2(), Ze ZHANG2,3(), Huijun JIN1,2,3, Wenjie FENG2, Doudou JIN2,4, Andrey MELNIKOV5   

  1. 1.Civil Engineering College,Harbin Institute of Technology,Harbin 150090,China
    2.State Key Laboratory of Frozen Soil Engineering,Northwest Institute of Eco-Environment and Resources,Chinese Academy of Sciences,Lanzhou 730000,China
    3.School of Civil Engineering / Institute of Cold Regions Engineering,Science and Technology,Northeast Forestry University,Harbin 150040,China
    4.University of Chinese Academy of Sciences,Beijing 100049,China
    5.Melnikov Permafrost Institute,Siberian Branch,Russian Academy of Sciences,Yakutsk 117997,Russia
  • Received:2019-12-02 Revised:2020-04-22 Online:2020-08-31 Published:2020-09-11
  • Contact: Ze ZHANG E-mail:15014252819@163.com;zhangze@lzb.ac.cn

摘要:

冻土的松弛模量是进行蠕变力学分析的关键参数。但在理论方面, 尚未基于球模仪试验建立较完善的松弛模量表征公式。基于半空间黏弹性理论和分数阶微积分理论, 获得了松弛模量公式的非线性Kelvin模型解答并进行了材料参数影响分析。在给出恒载条件下, 可以用单轴蠕变试验的分析结果评估基于球形压痕试验的冻土松弛模量来预测准确性。随后分别以冻结细砂的球模仪试验曲线、 冻结砂和冻结砂质黏土的单轴蠕变曲线为例, 预测了各条试验曲线和冻土的松弛模量, 并通过其他试验实测数据进行了检验。结果表明: 该松弛模量表征公式的材料参数最少, 随各材料参数变化具有较佳单调性; 基于球形模板试验, 非线性Kelvin解答能对冻结细砂的松弛模量和位移曲线做出合理可靠的预测。非线性Kelvin模型能很好地吻合单轴蠕变试验曲线, 基于单轴蠕变试验的冻结砂松弛模量随时间变化规律和数值范围与球模仪试验分析结果较一致, 冻结砂质黏土的松弛模量随应力和温度的变化规律再现了已有研究结论。

关键词: 球模仪, 分数阶理论, 非线性Kelvin解答, 参数分析, 冻土松弛模量

Abstract:

Relaxation modulus of frozen soil is a most important factor in creep analysis. However, there is still no a more perfected formulation of relaxation modulus according to the spherical template test theoretically. Based on half spacious visco-elastic theory and fractional order thesis, this paper had found formulations of relaxation modulus and analyzed the impact of parameters included in formulations according to the nonlinear Kelvin model. We propose a universal method for acquiring relaxation modulus based on dead load spherical template indenter tests and uniaxial creep test. This means relaxation modulus analysis results based on uniaxial creep tests can be applied for evaluating the results based on spherical template indenter tests. Then, the model is used for predicting the spherical template indenter tests curves of frozen fine sand and uniaxial creep curves of frozen sand and frozen sandy clay, as well as relaxation modulus of them, respectively. Besides, other experimental data are provided to evaluate the calculation results. Analytical results show that relaxation modulus characterization function has the least material parameters and good monotony versus material parameters. Nonlinear Kelvin model can predict the reasonable and reliable value of relaxation modulus of frozen fine sand on the basis of spherical template indenter test. The nonlinear Kelvin model has a good description of uniaxial creep curves of frozen sand and frozen sandy clay. The changing regularity of relaxation modulus of frozen sand based on uniaxial creep tests agrees with that based on spherical template indenter test. The changing regularity of frozen sandy clay relaxation modulus with temperature and stress is consistent with existed conclusions.

Key words: spherical template indenter, fractional order thesis, solution of nonlinear Kelvin model, parameters analysis, relaxation modulus of frozen soil

中图分类号: 

  • TU41