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Complex Variable Function Solutions in the Mechanical Analysis of Tunnels
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 analyticalsolutions 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.

1144884405
Complex Variable Function Solutions in the Mechanical Analysis of Tunnels
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 analyticalsolutions 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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Complex Variable Function Solutions in the Mechanical Analysis of Tunnels

Complex Variable Function Solutions in the Mechanical Analysis of Tunnels

Complex Variable Function Solutions in the Mechanical Analysis of Tunnels

Complex Variable Function Solutions in the Mechanical Analysis of Tunnels

Overview

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 analyticalsolutions 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.

Product Details

ISBN-13: 9789819716906
Publisher: Springer Nature Singapore
Publication date: 10/26/2024
Edition description: 2024
Pages: 1208
Product dimensions: 6.10(w) x 9.25(h) x (d)

About the Author

Dr. Aizhong Lu is a full professor at North China Electric Power University (NCEPU), China. His research interests are mainly focused on analytical methods in geoengineering. He studied Mine Construction at Shandong University of Science and Technology (B.Eng., 1978-1982) and obtained his Ph.D. in Mine Engineering Mechanics at Northeastern University, China, in 1993. He has previously worked at Shandong University of Science and Technology as a professor and dean of College of Civil Engineering and Architecture for years. He presides over five research projects supported by the National Natural Science Foundation of China. He has published more than 100 scientific papers as the first author or corresponding author and authored 4 books and a number of book chapters as the main author.

Dr. Huaning Wang is a full professor at the School of Aerospace Engineering and Applied Mechanics, Tongji University, China. She is engaged in the teaching and research of engineering mechanics. Her research interest lies in analytical approaches for tunnel/wellbore stability in rheological and elastoplastic rock/methane hydrate-bearing sediments and the application of DEM in geoengineering. She presides over four research projects supported by the National Natural Science Foundation of China and is also involved in the National Key R&D Program of China, the key program of the NSFC and the research and innovation staff exchanges of the EU as a key researcher. She published approximately 120 journal papers and peer-reviewed conference papers.

Dr. Luqing Zhang is a full professor at the Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing. His main research interests include rock mechanics in underground projects, mechanisms and mitigation of geological hazards, geoengineering and geomechanics in unconventional energy reservoirs. He presides over four research projects supported by the National NaturalScience Foundation of China, and participates in the National Key R&D Program of China, the Second Comprehensive Scientific Expedition to the Qinghai-Tibet Plateau, and the Strategic Priority Research Program of the Chinese Academy of Sciences. He has published more than 100 papers in many peer-reviewed journals as the first author or coauthor, authored 8 books and book chapters as the main author, and achieved more than 20 Chinese national invention patents.

Table of Contents

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.

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