The unifieddisplacementfunction(UDF)is presented to describe the deformation behaviours of the tunnel profile along with time under the surface slope *** on the discrete Fourier method,the third-order UDF in the phy...
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The unifieddisplacementfunction(UDF)is presented to describe the deformation behaviours of the tunnel profile along with time under the surface slope *** on the discrete Fourier method,the third-order UDF in the physical plane is expanded to the Laurent series in the complex variable *** complex variable method is employed to derive the elastic analytical solution of stra-tum displacement,when the third-order UDF is taken as the displacement boundary condition of tunnel cross-section(DBCTC).The proposed elastic solution agrees well with the results of the finite element method for the consistent model,which verifies the correctness of the proposed analytical *** the corresponding principle and fractional Generalized Kelvin viscoelastic constitutive model,the fractional viscoelastic solution under the surface slope condition is *** time effect of stratum displacement is presented in two aspects:time-dependent DBCTC and time-dependent material *** parameter analysis is performed to investigate influences of deformation modes of the third-order UDF,slope angle,tunnel radius and fractional order on the time effect of stratum vertical and horizontal displacement.
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