Fractional viscoelastic solution of stratum displacement of a shallow tunnel under the surface slope condition

作     者：Fanchao Kong Dechun Lu Chao Ma Chenpeng Shen Xiaodong Yang Xiuli Du 

作者机构：Institute of Geotechnical and Underground EngineeringBeijing University of TechnologyBeijing 100124China School of Civil and Transportation EngineeringBeijing University of Civil Engineering and ArchitectureBeijing 102626China Beijing Urban Construction Design&Development Group Co.LimitedThe Third Design Institute of Railway InstituteBeijing 100034China College of Mechanical EngineeringBeijing University of TechnologyBeijing 100124China 

出 版 物：《Underground Space》 (地下空间（英文）)

年 卷 期：2023年第10卷第3期

页      面：233-247页

核心收录：

学科分类：081406[工学-桥梁与隧道工程] 08[工学] 0814[工学-土木工程] 082301[工学-道路与铁道工程] 0823[工学-交通运输工程] 

基　　金：the financial supports from the National Natural Science Foundation of China(Grant No.52025084) the Beijing Natural Science Foundation,China(Grant No.8212007) 

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

摘      要：The unified displacement function(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.