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Geomechanics and Engineering Volume 27, Number 4, November25 2021 , pages 333-346 DOI: https://doi.org/10.12989/gae.2021.27.4.333 |
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A generalized viscoelastic model and the corresponding parameter conversion method |
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Shuling Huang, Xiuli Ding, Xiaohua Huang, Jun He and Yuting Zhang
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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. | ||
| Key Words | ||
| generalized viscoelastic combination model; parameter conversion; rock creep; shear parameter; tension-compression parameter | ||
| Address | ||
| Shuling Huang:Key Laboratory of Geotechnical Mechanics and Engineering of Ministry of Water Resources, Changjiang River Scientific Research Institute, Wuhan, Hubei 430010, P.R. China Xiuli Ding:Key Laboratory of Geotechnical Mechanics and Engineering of Ministry of Water Resources, Changjiang River Scientific Research Institute, Wuhan, Hubei 430010, P. R. China Xiaohua Huang:College of Civil Engineering and Architecture, Guangxi University, Nanning, Guangxi 530004, P. R. China Jun He:Key Laboratory of Geotechnical Mechanics and Engineering of Ministry of Water Resources, Changjiang River Scientific Research Institute, Wuhan, Hubei 430010, P. R. China Yuting Zhang:Key Laboratory of Geotechnical Mechanics and Engineering of Ministry of Water Resources, Changjiang River Scientific Research Institute, Wuhan, Hubei 430010, P. R. China | ||