Document Type
Journal Article
Publication Title
Applied Mathematics and Nonlinear Sciences
Volume
7
Issue
1
First Page
629
Last Page
640
Publisher
Sciendo
School
School of Business and Law
Abstract
After reviewing many literature foundations, the thesis combines the basic methods of elastic mechanics with mathematical knowledge, sets the bipotential stress potential complex function and analyses the relationship between stress component, strain component and stress potential function, and applies the complex variable function. The expression of the relevant stress component is derived, and the displacement boundary conditions of the surrounding rock of shallow circular tunnel are obtained. Furthermore, the paper applies the basic theory of complex variable function to solve the boundary condition complex variable function for common tunnel sections, and obtains the analytical expression of the surrounding rock stress of shallow circular tunnel. The simulation is carried out by finite element method. The establishment of complex variable function has a good application value in solving the stress of surrounding rock of shallow tunnel.
DOI
10.2478/amns.2021.1.00050
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Comments
Wang, G., Zhou, L., Alotaibi, R., & Hdeib, R. (2022). Deformation and stress theory of surrounding rock of shallow circular tunnel based on complex variable function method. Applied Mathematics and Nonlinear Sciences, 7(1), 629-640.
https://doi.org/10.2478/amns.2021.1.00050