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<p>Dynamic properties are of critical importance for seismic design in geotechnical engineering. Mudstone, sandstone, and granite are three typical rock types in western, China, which exhibit an increasing trend in compressive strength. In this study, multiple sets of cyclic loading–unloading triaxial tests were performed on the three rock types under varying confining pressures, utilizing the MTS 815 Flex Test GT rock mechanics testing system. The effects of stress levels and the number of loading cycles on the dynamic properties of the rocks were systematically analyzed. Empirical models were established to describe the dynamic shear modulus ratio (<i>R</i><sub>G</sub>) and damping ratio (<i>λ</i>) as functions of shear strain (<i>γ</i><sub>d</sub>). The results demonstrate that the dynamic shear modulus decreases with the increase in stress levels and the number of cycles, whereas the damping ratio exhibits an opposite trend. The peak strength, dynamic shear modulus, and dynamic shear modulus ratio significantly increase with higher confining pressures and increased rock stiffness, while the damping ratio decreases correspondingly. Furthermore, based on the established empirical models for dynamic shear modulus ratio and damping ratio versus shear strain, an empirical model between dynamic shear modulus ratio and damping ratio was derived, which further elucidates the relationship between rock shear stiffness and damping characteristics.</p>

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Dynamical Properties and Empirical Model of Three Typical Rocks in Western China via Cyclic Loading and Unloading Tests

  • 期刊论文

  • 发表日期：

    2025年6月16日

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  • Yang Wang,
  • Qianfeng Xiao,
  • Bin Duan,
  • Leilei Jin,
  • Fei Ye,
  • Wenxi Fu

摘要

Dynamic properties are of critical importance for seismic design in geotechnical engineering. Mudstone, sandstone, and granite are three typical rock types in western, China, which exhibit an increasing trend in compressive strength. In this study, multiple sets of cyclic loading–unloading triaxial tests were performed on the three rock types under varying confining pressures, utilizing the MTS 815 Flex Test GT rock mechanics testing system. The effects of stress levels and the number of loading cycles on the dynamic properties of the rocks were systematically analyzed. Empirical models were established to describe the dynamic shear modulus ratio (RG) and damping ratio (λ) as functions of shear strain (γd). The results demonstrate that the dynamic shear modulus decreases with the increase in stress levels and the number of cycles, whereas the damping ratio exhibits an opposite trend. The peak strength, dynamic shear modulus, and dynamic shear modulus ratio significantly increase with higher confining pressures and increased rock stiffness, while the damping ratio decreases correspondingly. Furthermore, based on the established empirical models for dynamic shear modulus ratio and damping ratio versus shear strain, an empirical model between dynamic shear modulus ratio and damping ratio was derived, which further elucidates the relationship between rock shear stiffness and damping characteristics.