| 基于有损伤体元件的广义Kelvin模型蠕变全过程探究 |
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| 引用本文： | 宋彦琦,李小龙,马宏发,傅航.基于有损伤体元件的广义Kelvin模型蠕变全过程探究[J].应用数学和力学,2021,42(6):637-644. |
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| 作者姓名： | 宋彦琦 李小龙 马宏发 傅航 |
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| 作者单位： | 1. 中国矿业大学（北京） 深部岩土力学与地下工程国家重点实验室, 北京 100083; |
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| 基金项目： | 国家自然科学基金联合基金（U1704242） |
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| 摘 要： | 岩石的蠕变特性往往对隧道和地下工程的稳定性有着重要的控制作用.针对岩石蠕变的阶段性特征，可将岩石蠕变全过程分为四个阶段.广义Kelvin模型可较好地反映前三个阶段的岩石蠕变特性，不能理想地反映加速蠕变阶段特征.通过引入损伤体元件和Kachanov的损伤因子演化公式，构建了具有损伤体元件的广义Kelvin模型，从而建立了可以体现岩石蠕变全过程的蠕变模型，并提出较为简单的组合模型参数计算方法.该模型不仅能较好地反映岩石蠕变全过程，且模型参数易于确定.利用该模型对砂质泥岩单轴压缩蠕变实验曲线进行拟合分析，拟合效果良好，研究结果可为类似工程提供参考.
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| 关 键 词： | 分级加载 广义Kelvin模型 损伤体元件 加速蠕变 曲线拟合 |
| 收稿时间： | 2020-09-07 |
Research on the Whole Creep Process of the Generalized Kelvin Model Based on Damaged Body Elements |
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| Affiliation: | 1. State Key Laboratory for Geomechanics and Deep Underground Engineering,China University of Mining and Technology(Beijing), Beijing 100083, P.R.China;2. School of Mechanics and Civil Engineering, China University of Mining and Technology(Beijing), Beijing 100083, P.R.China |
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| Abstract: | 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. |
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