<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Deformation and stress theory of surrounding rock of shallow circular tunnel based on complex variable function method

Department of Information Technology, Faculty of Computing and Information Technology

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

After reviewing many literature foundations, the thesis combines the basic methods of elastic mechanics with mathematical knowledge, sets the bipotential...

Deformation and stress theory of surrounding rock of shallow circular tunnel based on complex variable function method

Published Online: Dec 15, 2021

Page range: 629 - 640

Received: Jun 16, 2021

Accepted: Sep 24, 2021

DOI: https://doi.org/10.2478/amns.2021.1.00050

Keywords
complex variable function, shallow-buried circular tunnel surrounding rock, deformation analysis, stress finite element analysis

© 2021 Guizhen Wang et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Deformation and stress theory of surrounding rock of shallow circular tunnel based on complex variable function method

Published Online: Dec 15, 2021

Page range: 629 - 640

Received: Jun 16, 2021

Accepted: Sep 24, 2021

DOI: https://doi.org/10.2478/amns.2021.1.00050

Keywordscomplex variable function, shallow-buried circular tunnel surrounding rock, deformation analysis, stress finite element analysis

© 2021 Guizhen Wang et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
complex variable function, shallow-buried circular tunnel surrounding rock, deformation analysis, stress finite element analysis