Geomechanics and Engineering

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A generalized viscoelastic model and the corresponding parameter conversion method

  • Huang, Shuling (Key Laboratory of Geotechnical Mechanics and Engineering of Ministry of Water Resources, Changjiang River Scientific Research Institute) ;
  • Ding, Xiuli (Key Laboratory of Geotechnical Mechanics and Engineering of Ministry of Water Resources, Changjiang River Scientific Research Institute) ;
  • Huang, Xiaohua (College of Civil Engineering and Architecture, Guangxi University) ;
  • He, Jun (Key Laboratory of Geotechnical Mechanics and Engineering of Ministry of Water Resources, Changjiang River Scientific Research Institute) ;
  • Zhang, Yuting (Key Laboratory of Geotechnical Mechanics and Engineering of Ministry of Water Resources, Changjiang River Scientific Research Institute)
  • Received : 2020.05.04
  • Accepted : 2021.10.18
  • Published : 2021.11.25
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Abstract

Obtaining applicable rheological model and corresponding rheological parameters are the key issues of the long-term stability analysis of engineering rock mass. In this study, a generalized viscoelastic combination model with considering the effects of stress level is proposed. The proposed model is composed of a brittle viscous body and several Kelvin bodies in series, which unites the generalized Kelvin attenuated creep model and the generalized Burgers non-attenuated creep model. In addition, the tension-compression parameters and the shear parameters are used to express the proposed model, respectively. As these two types of parameters are often converted in the creep tests and engineering applications or change occurs to parameter types when extend the creep model from one-dimensional to three-dimensional. Thus, based on the assumption of constant volumetric modulus, a new conversion equation between the tension-compression parameters and the shear parameters is created for the proposed generalized viscoelastic combination model. Based on the new conversion equation, the three-dimensional extension of the generalized viscoelastic combination model expressed by both the tension-compression parameters and the shear parameters are derived. The proposed creep model and parameter conversion equation are then verified by the laboratory uniaxial compression test and triaxial compression test. The above proposed creep model and parameter conversion equation are applied to the example of rock foundation age deformation. Based on the application, potential problems caused by parameter conversion during rheological numerical simulations are discussed. Based on the discussion, the superiority of the parameter conversion method proposed in this study is fully illustrated.

Keywords

Acknowledgement

The work was supported by the National Key Research and Development Project of China (Grant No. 2017YFC1501305), the National Science Foundation of China (Grant Nos. 51779018, 41807249 and 51979008) and the Basic Scientific Research Operating Expenses of Central Public Welfare Research Institutes of China (No. CKSF2021715/YT, CKSF2021458/YT). These supports are greatly acknowledged and appreciated.

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