岩土力学 ›› 2024, Vol. 45 ›› Issue (10): 2937-2948.doi: 10.16285/j.rsm.2023.1748

• 基础理论与实验研究 • 上一篇    下一篇

卸围压下弱胶结软岩分数阶蠕变损伤本构模型

刘家顺1, 2, 3,周妮1,左建平3,郑智勇1,金佳旭1   

  1. 1.辽宁工程技术大学 土木工程学院,辽宁 阜新 123000;2.中国科学院武汉岩土力学研究所 岩土力学与工程国家重点实验室,湖北 武汉 430071;3.中国矿业大学(北京) 力学与建筑工程学院,北京 100083
  • 收稿日期:2023-11-17 接受日期:2024-02-02 出版日期:2024-10-09 发布日期:2024-10-11
  • 作者简介:刘家顺,男,1986年生,博士,副教授,博士生导师,主要从事岩土力学与工程方面的教学与研究工作。E-mail:liujiashun000@163.com
  • 基金资助:
    国家自然科学基金(No.52104088,No.52225404,No.52374091);岩土力学与工程国家重点实验室开放基金(No.SKLGME022021);中国博士后科学基金(No.2022M713383)

Fractional creep damage constitutive model of weakly cemented soft rock under unloading confining pressure

LIU Jia-shun1, 2, 3, ZHOU Ni1, ZUO Jian-ping3, ZHENG Zhi-yong1, JIN Jia-xu1   

  1. 1. School of Civil Engineering, Liaoning Technical University, Fuxin, Liaoning 123000, China, 2. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, Hubei 430071, China; 3. School of Mechanics and Civil Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China
  • Received:2023-11-17 Accepted:2024-02-02 Online:2024-10-09 Published:2024-10-11
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (52104088, 52225404, 52374091), the Open Research Fund of State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences (SKLGME022021) and the China Postdoctoral Science Foundation (2022M713383).

摘要: 为研究地下硐室开挖卸荷诱发的软岩蠕变损伤特征,以西部矿区弱胶结软岩为研究对象,利用GDS HPTAS开展了分级卸围压蠕变试验,研究了不同含水条件下弱胶结软岩卸围压下蠕变特征和蠕变速率特征。基于稳态蠕变速率倒数的方法,确定了弱胶结软岩长期强度和含水率的数学指数函数关系。基于蠕变速率曲线特征提出了一种确定衰减蠕变与等速蠕变分界点t1和等速蠕变与加速蠕变分界点t2的新方法。引入Riemann-Liouville分数阶积分算子和负时间指数损伤演化变量,定义了非线性损伤Abel黏壶,建立了一个包括弹性元件、黏弹性损伤元件、黏性元件和非线性黏塑性损伤元件的六元件分数阶蠕变损伤本构模型。基于试验结果,采用Trust-Region算法进行了模型参数识别和敏感性分析。结果表明,所建立的模型具有物理意义明确、与试验值吻合度较高等特点,可较为准确地反映开挖卸荷条件下弱胶结软岩蠕变损伤特性,对保障地下工程长期稳定性具有重要的意义。

关键词: 弱胶结软岩, 卸围压, 分数阶积分, 蠕变损伤本构模型, 长期强度

Abstract: This study investigates the creep damage characteristics of weakly cemented soft rock induced by excavation and unloading in an underground chamber, focusing on samples from the western mining area. A series of multi-stage unloading confining pressure creep tests on weakly cemented soft rock was conducted using GDS HPTAS. Under different water conditions, the creep characteristics and creep rate characteristics of weakly cemented soft rock were studied under confining pressure unloading. Based on the reciprocal steady creep rate method, the mathematical exponential function relationship between long-term strength and water content of weakly cemented soft rock was determined. By introducing the Riemann-Liouville fractional order integral operator and the negative time exponential damage evolution variable, nonlinear damage Abel clay pot was defined, and a six-element fractional order creep damage constitutive model, including elastic elements, viscoelastic damage elements, viscous damage elements and nonlinear viscoplastic damage elements, was established. Based on the experimental results, the Trust-Region algorithm in Matlab was used to identify the model parameters and analyze the sensitivity. The results show that the established model has clear physical significance and high agreement with the test values. It can accurately reflect the creep damage characteristics of weakly cemented soft rock under excavation and unloading confining pressure in underground engineering, which is significant for ensuring the long-term stability of underground engineering.

Key words: weakly cemented soft rock, unloading confining pressure, fraction-order calculus, creep damage constitutive model, long-term strength

中图分类号: TU 457
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