| In the engineering construction,we can always find the phenomenon that the deformation of rock increases with time,such as the excavation of underground cavern,rock foundation and rock slope,etc.Therefore,the rheology of rock is an important research topic in the modern rock mechanics,and it is closely related to the long-term stability and safety of geotechnical engineering.Besides the in-situ test and laboratory test to study the rheological mechanical properties of rock,mainly to seek the constitutive model of stress and strain with time in order to get the relationship between deformation and time.For the shallow-buried tunnel under the complicated stress boundary condition and displacement boundary condition,it’s solved by using the numerical method in general case,such as the finite element method and boundary element method.But for the deep buried tunnel with the simple hole,and assuming that the analytical solution is already known when the surrounding rock of the tunnel is elastic,then we can get the corresponding viscoelastic analytical solution based on the elastic-viscoelastic correspondence principle by using the Laplace transform and the inversion of Laplace transform method.The complex variable function method can be used to solve the problem of plane elasticity problem with complicated boundary shape.This paper conducts the analytical solution of the complex variable function method by using different models and makes the corresponding program by using Fortran language.Then solve the rheological displacement of the straight wall arch tunnel and horseshoe shaped tunnel that simulated the properties of viscoelastic surrounding rock by the generalized Kelvin model,and analyses the displacement values under different stress levels.It has certain guiding significance to predict the failure of surrounding rock.Finally,the paper compares the difference of different models using the straight wall arch tunnel. |
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