岩土力学 ›› 2018, Vol. 39 ›› Issue (S2): 107-114.doi: 10.16285/j.rsm.2018.2567

• 基础理论与实验研究 • 上一篇    下一篇

岩盐循环荷载下基于DS黏壶的非线性流变模型研究

刘 斌1, 2, 3,许宏发1, 2,董 璐1, 2,马语卿1, 2,李可良1, 2   

  1. 1. 陆军工程大学 爆炸冲击防灾减灾国家重点实验室,江苏 南京 210007; 2. 陆军工程大学 国防工程学院,江苏 南京 210007;3. 68023部队,甘肃 兰州 730050
  • 收稿日期:2017-12-26 出版日期:2018-12-21 发布日期:2019-01-03
  • 通讯作者: 许宏发,男,1964 年生,博士,教授,博士生导师,主要从事防护工程及岩土力学方向的教学与研究工作。E-mail: xuhongfa1@sina.com E-mail:1101909095@qq.com
  • 作者简介:刘斌,男,1987年生,硕士,工程师,主要从事营房建设管理工作。
  • 基金资助:
    江苏省自然科学基金项目(No.BK20141067)

A nonlinear rheological model of rock salt based on DS-dashpot under cyclic loading

LIU Bin1, 2, 3, XU Hong-fa1, 2, DONG Lu1, 2, MA Yu-qing1, 2, LI Ke-liang1, 2   

  1. 1. State Key Laboratory of Disaster Prevention and Mitigation of Explosion and Impact, Army Engineering University of PLA, Nanjing, Jiangsu, 210007, China; 2. National Defense Engineering, Army Engineering University of PLA, Nanjing, Jiangsu 210007, China; 3. Troop 68023, Lanzhou, Gansu 730050, China
  • Received:2017-12-26 Online:2018-12-21 Published:2019-01-03
  • Supported by:
    This work was supported by the Natural Science Foundation of Jiangsu Province (BK20141067).

摘要: 地下储气库围岩常常处于循环荷载作用下,构建适合的流变模型是分析其长期稳定性的关键内容。基于应力耗散原理建立了非线性黏壶力学元件(DS黏壶)和DS黏壶元件的微分本构方程,将Poyhting-Thomson模型与DS黏壶串联,构建了一个非线性流变模型(PT-DS),推导出PT-DS模型的微分本构方程。根据盐岩试块循环加载试验过程,建立了初始匀速加载段和循环荷载段的动应力方程,根据PT-DS模型,解析得到初始匀速加载段和循环荷载段应变随时间变化的本构方 程。对循环荷载段应变本构方程进行了简化分析,得到循环荷载段应变曲线的上限线、中间线和下限线方程。用PT-DS模型的上限线、中间线和下限线本构方程对岩盐循环加载试验结果进行拟合分析,得到了相应的拟合参数。结果表明,应变拟合曲线、模拟曲线与试验曲线非常接近,PT-DS模型能很好的描述循环荷载下应变的发展过程。

关键词: 循环荷载, DS黏壶, PT-DS模型, 岩盐, 非线性流变模型

Abstract: The surrounding rock of underground gas storage is always under the action of cyclic loading. Constructing a suitable rheological model is the key to analyzing its long-term stability. Based on the principle of stress dissipation, a nonlinear dashpot element(DS-dashpot) and the differential constitutive equation of the DS-dashpot are established. A nonlinear rheological model(PT-DS) is constructed with the connection of Poyhting-Thomson model and the DS-dashpot in series. Meanwhile, a differential constitutive equation of PT-DS model is derived; According to the cyclic loading test process of rock salt specimen, the dynamic stress equation is established, which is divided into the initial uniform loading section and the cyclic load section. According to the analysis of PT-DS model, the constitutive equations of the time-dependent strain at the initial uniform loading and cyclic loading are obtained. The constitutive equation of cyclic loading section is simplified and analyzed and the equations of upper limit line, middle line and lower limit line are obtained. The cyclic loading test process of rock salt specimen are carried out; the test result is fitted using the constitutive equations of the upper limit line, the middle line, and the lower limit line of the PT-DS model; and the corresponding fitting parameters are obtained. The results show that the fitted curve and the simulated curve are very close to the test curve; so the PT-DS model can be used to describe the strain development process under the cyclic loading perfectly.

Key words: cyclic loading, DS-dashpot, PT-DS model, rock salt, nonlinear rheological model

中图分类号: 

  • TU452
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