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Explicit Form of Exact Analytical Solution for Calculating Ground Displacement and Stress Induced by Shallow Tunneling and Its Application
Joint Authors
Han, Kaihang
Guo, Caixia
Kong, Heng
Shi, Leilei
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-28
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In urban environment, it is often unavoidable for shallow tunnels to be constructed adjacent to existing pile foundations.
To obtain the ground displacements and stresses induced by shallow tunneling and existing pile foundation loads, the key procedure involves superimposing the analytical solution for shallow tunneling in green-field with the analytical solution for existing structure loads.
In green-field, the complex variable method provides exact analytical solutions of ground displacements and stresses caused by shallow tunneling.
However, the exact analytical solutions are not directly expressed as explicit functions of the coordinates (x, y) in the physical plane (called implicit form of exact analytical solutions), whereas the displacements and stresses induced by existing structure loads are explicit functions of the coordinates (x, y) in the physical plane, which makes it difficult to superpose the displacements and stresses induced by existing structure loads.
In this paper, explicit form of exact analytical solutions of displacements and stresses induced by shallow tunneling in green-field is obtained by using the inverse conformal transformation and the Cauchy–Riemann equations.
Comparison with implicit form of exact analytical solutions shows that the explicit form of exact analytical solutions is intuitional and easily used by engineers, and moreover, the calculation amount is much smaller than that for the implicit form of exact analytical solutions.
Then, an application involving superimposing the explicit form of exact analytical solutions with Mindlin’s solution is implemented to analyze the secondary stress field and the related potential plastic zone caused by shallow tunneling adjacent to pile foundations.
Moreover, the influences of pile foundation parameters on the ranges and shapes of the potential plastic zones induced by nearby tunneling are analyzed.
American Psychological Association (APA)
Guo, Caixia& Han, Kaihang& Kong, Heng& Shi, Leilei. 2019. Explicit Form of Exact Analytical Solution for Calculating Ground Displacement and Stress Induced by Shallow Tunneling and Its Application. Advances in Civil Engineering،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1116550
Modern Language Association (MLA)
Guo, Caixia…[et al.]. Explicit Form of Exact Analytical Solution for Calculating Ground Displacement and Stress Induced by Shallow Tunneling and Its Application. Advances in Civil Engineering No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1116550
American Medical Association (AMA)
Guo, Caixia& Han, Kaihang& Kong, Heng& Shi, Leilei. Explicit Form of Exact Analytical Solution for Calculating Ground Displacement and Stress Induced by Shallow Tunneling and Its Application. Advances in Civil Engineering. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1116550
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1116550