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Author:

Kong, Fanchao (Kong, Fanchao.) | Lu, Dechun (Lu, Dechun.) | Ma, Chao (Ma, Chao.) | Shen, Chenpeng (Shen, Chenpeng.) | Yang, Xiaodong (Yang, Xiaodong.) | Du, Xiuli (Du, Xiuli.)

Indexed by:

EI Scopus SCIE

Abstract:

The unified displacement function (UDF) is presented to describe the deformation behaviours of the tunnel profile along with time under the surface slope condition. Based on the discrete Fourier method, the third-order UDF in the physical plane is expanded to the Laurent series in the complex variable plane. The 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 solution. Combining the corresponding principle and fractional Generalized Kelvin viscoelastic constitutive model, the fractional viscoelastic solution under the surface slope condition is determined. The time effect of stratum displacement is presented in two aspects: time-dependent DBCTC and time-dependent material parameters. The 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.

Keyword:

Surface slope condition Complex variable method Third-order unified displacement function Fractional viscoelastic solution Discrete Fourier method

Author Community:

  • [ 1 ] [Kong, Fanchao]Beijing Univ Technol, Inst Geotech & Underground Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Lu, Dechun]Beijing Univ Technol, Inst Geotech & Underground Engn, Beijing 100124, Peoples R China
  • [ 3 ] [Du, Xiuli]Beijing Univ Technol, Inst Geotech & Underground Engn, Beijing 100124, Peoples R China
  • [ 4 ] [Ma, Chao]Beijing Univ Civil Engn & Architecture, Sch Civil & Transportat Engn, Beijing 102626, Peoples R China
  • [ 5 ] [Shen, Chenpeng]Beijing Urban Construct Design & Dev Grp Co Ltd, Design Inst 3, Railway Inst, Beijing 100034, Peoples R China
  • [ 6 ] [Yang, Xiaodong]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Ma, Chao]Beijing Univ Civil Engn & Architecture, Sch Civil & Transportat Engn, Beijing 102626, Peoples R China;;

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Source :

UNDERGROUND SPACE

ISSN: 2096-2754

Year: 2023

Volume: 10

Page: 233-247

6 . 4 0 0

JCR@2022

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 8

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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