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Construction of Frozen Sandstone Creep Damage Model and Analysis of Influencing Factors Based on Fractional‑Order Theory

机译:基于分数阶理论的冷冻砂岩蠕变损伤模型及影响因素分析

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摘要

During the construction of the freezing wall of the coal mine shaft, the long-term stability of the freezing wall is a key issue to control engineering safety. The creep deformation of frozen rock is one of the factors that cause the destruction of the frozen wall. Taking the Cretaceous saturated frozen sandstone as the research object, the creep mechanics test of frozen rock under different confining pressure conditions is carried out, and the strain–time curve clusters under different loading stress states are obtained. Based on the Riemann–Liouville-type integral function and borrowing from classic modeling ideas, a 5-element nonlinear creep damage constitutive equation considering low-temperature-damage-stress coupling is established, and the model verification is carried out. The results show: when the rock is in the elastic stage, the creep parameter E_1 theory under each loading level should be exactly the same. But it shows a trend of increasing first and then decreasing, so the creep of frozen sandstone is a kind of nonlinear creep. The viscoelastic modulus E_2 is a measure of the amount of deformation in the creep attenuation stage, indicating that it gradually decreases as the load factor increases. After the strain gradually increased to a certain fixed value, E_1 remained basically constant. As the loading stress increases, the interior of the rock will undergo stages of compression, slippage, and recombination, and the friction between particles will increase, showing that the viscosity coefficients η_1 and η_2 gradually increase. The influence of the parameters and on the creep effect is analyzed through the results of the creep mechanics test. There is creep damage in the accelerated creep stage. As the load increases, the damage gradually expands. The same laws are shown under different confining pressure conditions. The research results can provide a theoretical model and the experimental basis for evaluating the instability and failure of the frozen wall induced by creep.
机译:在煤矿轴的冰冻墙的构造过程中,冷冻墙的长期稳定性是控制工程安全的关键问题。冷冻岩石的蠕变变形是导致冻结墙体破坏的因素之一。将白垩纪饱和的冷冻砂岩作为研究对象,进行了在不同限制压力条件下的冷冻岩石的蠕变力学试验,并获得了不同负载应力状态下的应变曲线簇。基于Riemann-Liouville型积分功能和从经典建模思想借用,建立了考虑低温损伤应力耦合的5元件非线性蠕变损伤本构方程,进行了模型验证。结果表明:当岩石处于弹性级时,每个装载水平下的蠕变参数E_1理论应该完全相同。但它显示出首先增加然后减少的趋势,因此冷冻砂岩的蠕变是一种非线性蠕变。粘弹性模量E_2是蠕变衰减阶段中变形量的量度,表明它随着负载因子增加而逐渐减小。在应变逐渐增加到一定的固定值之后,E_1保持基本恒定。随着负载应力的增加,岩石的内部将经历压缩,滑动和重组的阶段,并且颗粒之间的摩擦将增加,表明粘度系数η_1和η_2逐渐增加。通过蠕变力学试验的结果分析参数和蠕变效应的影响。加速蠕变阶段存在蠕变损坏。随着负荷增加,损坏逐渐扩展。在不同的限制压力条件下显示相同的定律。研究结果可以提供理论模型和实验基础,用于评估蠕变诱导的冷冻壁的不稳定性和失效。

著录项

  • 来源
    《Arabian Journal for Science and Engineering》 |2021年第11期|11373-11385|共13页
  • 作者

    Zuyong Li; Gengshe Yang; Yao Wei;

  • 作者单位

    School of Architecture and Civil Engineering Xi’an University of Science and Technology Xi’an 710054 Shaanxi China;

    School of Architecture and Civil Engineering Xi’an University of Science and Technology Xi’an 710054 Shaanxi China;

    School of Architecture and Civil Engineering Xi’an University of Science and Technology Xi’an 710054 Shaanxi China State Key Laboratory of Road Engineering Safety and Health in Cold and High‑Altitude Regions CCCC First Highway Consultants Co. Ltd Xi’an 710065 China;

  • 收录信息 美国《科学引文索引》(SCI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Frozen sandstone; Fractional-order theory; Nonlinearity; Creep damage; Influencing factors;

    机译:冷冻砂岩;分数阶理论;非线性;蠕动损坏;影响因素;

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