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Complex variable function solutions in the mechanical analysis of tunnels

Record Type:	Electronic resources : Monograph/item
Title/Author:	Complex variable function solutions in the mechanical analysis of tunnelsby Aizhong Lu, Huaning Wang, Luqing Zhang.
Author:	Lu, Aizhong.
other author:	Wang, Huaning.
Published:	Singapore :Springer Nature Singapore :2025.
Description:	xxviii, 1115 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Geotechnical engineeringMathematics.
Online resource:	https://doi.org/10.1007/978-981-97-1691-3
ISBN:	9789819716913$q(electronic bk.)

Complex variable function solutions in the mechanical analysis of tunnels
Lu, Aizhong.

Complex variable function solutions in the mechanical analysis of tunnels[electronic resource] /by Aizhong Lu, Huaning Wang, Luqing Zhang. - Singapore :Springer Nature Singapore :2025. - xxviii, 1115 p. :ill., digital ;24 cm.

Chapter 1. Complex variable techniques in mechanical analysis in tunnel engineering -- Chapter 2. Deep circular tunnel problems -- Chapter 3. Deep noncircular tunnel problems -- Chapter 4. Deep tunnels reinforced by rock bolt -- Chapter 5. Tunnels considering temperature influence -- Chapter 6. Alternating method in the analysis of deep twin/multiple tunnels -- Chapter 7. New analytical method for the analysis of deep twin tunnels -- Chapter 8. Multiple tunnels in viscoelastic rock -- Chapter 9 Deep tunnels in anisotropic rock -- Chapter 10. Shallow unlined circular tunnel problem -- Chapter 11. Shallow lined circular tunnel problem -- Chapter 12. Shallow noncircular tunnel problem -- Chapter 13. Shallow multiple tunnel problem -- Chapter 14. Tunnel shape optimization based on analytical solutions -- Chapter 15. Back analysis in tunnel engineering based on analytical solutions -- Chapter 16. Analytical solutions for other geotechnical problems.

This book covers the mechanical problems of tunnels in traffic, hydraulic and mining engineering. By extending the complex variable method in mechanical analysis, it proposes accurate analytical solutions for tunnels. The solutions are further applied to the back analysis of tunnels, hole shape optimization, support design and estimation of tunnel stability. The considered rock characteristics involve elasticity, elastoplasticity, viscoelasticity and anisotropy, and various geometric conditions are included, such as circular/noncircular single/multiple tunnels with/without support at deep/shallow depths. Some original achievements are provided, including new mapping functions for complex regions, precise determination of the noncircular plastic zone around single/twin tunnels and related elastoplastic solutions and quantitative analysis of the interaction between rock and the support, which are new developments of theory and method in rock mechanics. The proposed analytical solutions are reliable tools to initially estimate the design parameters and achieve optimal design, providing guidance in the conceptual stage of the design process. They can clearly reveal the influences of parameters in functional form and provide a benchmark against which the overall correctness of numerical analyses can be assessed. This book summarizes the author's research achievements over more than 20 years. It is a valuable reference for professionals working in geotechnical engineering.

ISBN: 9789819716913$q(electronic bk.)

Standard No.: 10.1007/978-981-97-1691-3doiSubjects--Topical Terms:

813622
Geotechnical engineering
--Mathematics.

LC Class. No.: TA705

Dewey Class. No.: 624.151

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505 0 $a Chapter 1. Complex variable techniques in mechanical analysis in tunnel engineering -- Chapter 2. Deep circular tunnel problems -- Chapter 3. Deep noncircular tunnel problems -- Chapter 4. Deep tunnels reinforced by rock bolt -- Chapter 5. Tunnels considering temperature influence -- Chapter 6. Alternating method in the analysis of deep twin/multiple tunnels -- Chapter 7. New analytical method for the analysis of deep twin tunnels -- Chapter 8. Multiple tunnels in viscoelastic rock -- Chapter 9 Deep tunnels in anisotropic rock -- Chapter 10. Shallow unlined circular tunnel problem -- Chapter 11. Shallow lined circular tunnel problem -- Chapter 12. Shallow noncircular tunnel problem -- Chapter 13. Shallow multiple tunnel problem -- Chapter 14. Tunnel shape optimization based on analytical solutions -- Chapter 15. Back analysis in tunnel engineering based on analytical solutions -- Chapter 16. Analytical solutions for other geotechnical problems.
520 $a This book covers the mechanical problems of tunnels in traffic, hydraulic and mining engineering. By extending the complex variable method in mechanical analysis, it proposes accurate analytical solutions for tunnels. The solutions are further applied to the back analysis of tunnels, hole shape optimization, support design and estimation of tunnel stability. The considered rock characteristics involve elasticity, elastoplasticity, viscoelasticity and anisotropy, and various geometric conditions are included, such as circular/noncircular single/multiple tunnels with/without support at deep/shallow depths. Some original achievements are provided, including new mapping functions for complex regions, precise determination of the noncircular plastic zone around single/twin tunnels and related elastoplastic solutions and quantitative analysis of the interaction between rock and the support, which are new developments of theory and method in rock mechanics. The proposed analytical solutions are reliable tools to initially estimate the design parameters and achieve optimal design, providing guidance in the conceptual stage of the design process. They can clearly reveal the influences of parameters in functional form and provide a benchmark against which the overall correctness of numerical analyses can be assessed. This book summarizes the author's research achievements over more than 20 years. It is a valuable reference for professionals working in geotechnical engineering.
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