Volume 42 Issue 6
Jun.  2021
Turn off MathJax
Article Contents
SONG Yanqi, LI Xiaolong, MA Hongfa, FU Hang. Research on the Whole Creep Process of the Generalized Kelvin Model Based on Damaged Body Elements[J]. Applied Mathematics and Mechanics, 2021, 42(6): 637-644. doi: 10.21656/1000-0887.410255
Citation: SONG Yanqi, LI Xiaolong, MA Hongfa, FU Hang. Research on the Whole Creep Process of the Generalized Kelvin Model Based on Damaged Body Elements[J]. Applied Mathematics and Mechanics, 2021, 42(6): 637-644. doi: 10.21656/1000-0887.410255

Research on the Whole Creep Process of the Generalized Kelvin Model Based on Damaged Body Elements

doi: 10.21656/1000-0887.410255
  • Received Date: 2020-09-07
  • Rev Recd Date: 2020-11-20
  • The creep properties of rocks often have important control effects on the stability of tunnels and underground works. According to the stage characteristics of rock creep, the whole process of rock creep can be divided into 4 stages. The generalized Kelvin model can better reflect the rock creep characteristics of the 1st 3 stages, but cannot ideally reflect the characteristics of the accelerated creep stage. Through introduction of damaged body elements and Kachanov’s damage factor evolution formula, a generalized Kelvin model with damaged body elements was constructed, thereby a creep model was established to reflect the whole process of rock creep, and a relatively simple combined model parameter calculation method was proposed. The model well describes the whole process of rock creep, and the model parameters are easy to determine. The model works well in fitting and analysis of the experimental curves of sandy mudstone uniaxial compression creep, and the research results provides a reference for similar projects.
  • loading
  • [2]曹树刚, 边金, 李鹏. 岩石蠕变本构关系及改进的西原正夫模型[J]. 岩石力学与工程学报, 2002,21(5): 632-634.(CAO Shugang, BIAN Jin, LI Peng. Rheologic constitutive relationship of rocks and a modifical model[J]. Chinese Journal of Rock Mechanics and Engineering,2002,21(5): 632-634.(in Chinese))
    邹佳成. 基于FLAC3D的西原流变模型的程序实现及工程应用[D]. 硕士学位论文. 北京: 中国地质大学(北京), 2018.(ZOU Jiacheng. Program development and engineering application of Nishihara model based on FLAC3D[D]. Master Thesis. Beijing: China University of Geosciences (Beijing), 2018.(in Chinese))
    [3]李佳珑, 徐卫亚, 王如宾. 基于广义Kelvin模型的三维流变损伤本构模型[J]. 三峡大学学报(自然科学版), 2013,35(1): 54-57.(LI Jialong, XU Weiya, WANG Rubin. 3D rheological damage constitutive model based on generalized Kelvin model [J]. Journal of China Three Gorges University(Natural Sciences),2013,35(1): 54-57.(in Chinese))
    [4]王伟, 周先齐, 刘桃根, 等. 基于粘塑理论的岩石流变本构模型研究[J]. 三峡大学学报(自然科学版), 2010,32(6): 51-54.(WANG Wei, ZHOU Xianqi, LIU Taogen, et al. Investigation of rheological constitutive model of rocks based on viscoplastic theory [J]. Journal of China Three Gorges University(Natural Sciences),2010,32(6): 51-54.(in Chinese))
    [5]徐国文, 何川, 代聪, 等. 广义Kelvin蠕变损伤模型及其参数的智能辨识[J]. 西南交通大学学报, 2015,50(5): 866-871.(XU Guowen, HE Chuan, DAI Cong, et al. Generalized Kelvin creep damage model and its parameters’ intelligent identification[J]. Journal of Southwest Jiaotong University,2015,50(5): 866-871.(in Chinese))
    [6]邓荣贵, 周德培, 张倬元, 等. 一种新的岩石流变模型[J]. 岩石力学与工程学报, 2001,20(6): 780-784.(DENG Ronggui, ZHOU Depei, ZHANG Zhuoyuan, et al. A new rheological model for rocks[J]. Journal of Rock Mechanics and Engineering,2001,20(6): 780-784.(in Chinese))
    [7]王来贵, 赵娜, 何峰, 等. 岩石蠕变损伤模型及其稳定性分析[J]. 煤炭学报, 2009,34(1): 64-68.(WANG Laigui, ZHAO Na, HE Feng, et al. Rock creep damage model and its stability analysis[J]. Journal of China Coal Society,2009,34(1): 64-68.(in Chinese))
    [8]刘姗姗, 赵同彬. 粘弹性广义Kelvin模型的FLAC3D二次开发[J]. 山东科技大学学报(自然科学版), 2010,29(4): 20-23.(LIU Shanshan, ZHAO Tongbin. Secondary development on generalized viscoelastic Kelvin model with FLAC3D[J]. Journal of Shandong University of Science and Technology(Natural Science),2010,29(4): 20-23.(in Chinese))
    [9]韩伟民, 闫怡飞, 闫相祯. 基于广义Kelvin模型的非定常盐岩蠕变模型[J]. 中南大学学报(自然科学版), 2020,51(5): 1337-1349.(HAN Weimin, YAN Yifei, YAN Xiangzhen. Non-stationary creep model for salt rock based on generalized Kelvin model[J]. Journal of Central South University(Science and Technology),2020,51(5): 1337-1349.(in Chinese))
    [10] NGUYEN S T. Generalized Kelvin model for micro-cracked viscoelastic materials[J]. Engineering Fracture Mechanics,2014,127: 226-234.
    [11]许宏发, 马语卿, 杨耀然, 等. 泥质盐岩单轴蠕变寿命研究[J]. 应用数学和力学, 2019,40(5): 527-535.(XU Hongfa, MA Yuqing, YANG Yaoran, et al. Creep lifetime evaluation of muddy salt rock[J]. Applied Mathematics and Mechanics,2019,40(5): 527-535.(in Chinese))
    [12] 陈晓平, 朱鸿鹄, 周秋娟. 修正广义Kelvin蠕变固结模型研究[J]. 岩石力学与工程学报, 2006,25(S2): 3428-3434.(CHEN Xiaoping, ZHU Honghu, ZHOU Qiujuan. Study on modified generalized Kelvin creep consolidation model[J]. Chinese Journal of Rock Mechanics and Engineering,2006,25(S2): 3428-3434.(in Chinese))
    [13] 许腾, 任思玉, 樊成, 等. 基于Norton方程的岩石蠕变损伤曲线的测定[J]. 水利与建筑工程学报, 2017,15(2): 37-42.(XU Teng, REN Siyu, FAN Cheng, et al. Determination of rock creep damage curve based on Norton equation[J]. Journal of Water Resources and Architectural Engineering,2017,15(2): 37-42.(in Chinese))
    [14] 曹文贵, 袁靖周, 王江营, 等. 考虑加速蠕变的岩石蠕变过程损伤模拟方法[J]. 湖南大学学报(自然科学版), 2013, 40(2): 15-20.(CAO Wengui, YUAN Jingzhou, WANG Jiangying, et al. A damage simulation technique of the full rock creep process considering accelerated creep[J]. Journal of Hunan University(Natural Sciences),2013,40(2): 15-20.(in Chinese))
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (546) PDF downloads(28) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return