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内容大纲
This book is written by subject experts based on the latest research results on the characteristic line method of stress wave propagation in rock masses. It establishes a framework for stress wave propagation analysis methods under three levels of rocks, joints and rock masses. It introduces the two-characteristic line method for stress wave propagation in rocks, and further illustrates the modified characteristic line method for stress wave propagation in complex jointed rock masses. The split three- characteristic line method was proposed for stress wave propagation in rock masses with macro-joints and micro-defects. The book focuses on the basic theory, and highlights the ideas, methods and steps to solve the problem of stress wave propagation in rock masses. This book can be used as a reference book for researchers of research institutes engaged in analyzing, predicting and controlling dynamic stability in rock, geological, and mining engineering. -
作者介绍
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目录
1 Introduction
1.1 Background
1.2 Stare of the Art of Wave Propagation in the Rock Mass
1.2.1 Wave Propagation in the Micro-Defected Rock Mass
1.2.2 Wave Propagation in Jointed Rock Mass
1.2.3 Wave Propagation Through the Rock Mass with Double-Scale Discontinuities
References
2 Basic Theory of Stress Wave
2.1 Basic Concept of Stress Wave
2.2 Reflection and Transmission of Stress Wave
2.2.1 Reflection and Transmission of Stress Waves at Interfaces
2.2.2 Reflection of Stress Waves at the Fixed and Free Ends
3 Two-Characteristic Method for the Wave Propagation Through Intact Rock
3.1 Establishment of the Characteristic Method
3.1.1 Governing Equations for Stress Wave Propagation
3.1.2 Two-Characteristic Method and Compatibility Relationship of Two-Characteristic Method
3.2 Propagation of Stress Wave in Intact Rock
4 Two-Characteristic Method for the Wave Propagation Through Joint
4.1 Stress Wave Propagation Through Linearly Deformational
4.2 Stress Wave Propagation Through Nonlinearly Deformational
4.3 Stress Wave Propagation Through Joints with Different Loading/Unloading Deformation
4.3.1 Wave Propagation Equations
4,3.2 Comparison of Results with and Without Unloading
4.3.3 Stress Wave Propagation Properties
4.4 Stress Wave Propagation Through Joints Under In Situ Stress
4.4.1 A Displacement Discontinuity Method for Considering In Situ Stress
4.4.2 Amplitude-Dependence of Seismic Wave Propagation
4.4.3 Frequency-Dependence of Seismic Wave Propagation
4.4.4 Effect of In Situ Stress on Wave Attenuation
References
5 Two-Characteristic Method for the Wave Propagation Through Complex Stratus Rock Mass
5.1 Stress Wave Propagation Through Complex Rock Mass with Linearly Deformational Joints
5.1.1 A Modified Characteristic Method
5.1.2 Wave Propagation Through Complex Rock Mass
5.1.3 Wave Transmission and Effective Velocity
5.2 Stress Wave Propagation Through Complex Rock Mass with Nonlinearly Deformational Joints
5.2.2 Stress Wave Transmission in a Nonlinearly Jointed
5.3 Reflection of Stress Wave Through Complex Jointed Rock
5.3.1 Theoretical Study of Reflected Wave in Jointed Rock
5.3.2 Results
5.3.3 Discussion
5.4 Conclusions
References
6 Two Characteristic Method for the Wave
Transmission Through Layered Composite Rock Mass Containing Multiple Parallel Joints
6.1 with Different Wave Impedances on Two Sides of Joints
6.1.1 Modified Method of Characteristics in the Layered Composite RockMass
6.1.2 Transmitted Wave
Waveform Though Different Layered Composite Rock Mass
6.1.3 Effect of Incident Wave Frequency, Joint Stiffness, Joint Number a
Transmission Coefficient
6.2 The Effect of Joint Spacing on Transmission Characteristics of Stress Wave Through Layered Composite Rock Mass
6.2.1 Modified Method of Characteristics for Layered Composite Rock Mass with Different Joint Spacings
6.2.2 Wave Propagation Through Layered Composite Rock Mass with Joint Spacing S
6.2.3 Wave Propagation Through Layered Composite Rock Mass with Nondimensional Joint Spacing ξ
References
7 Three-Characteristic Method for the Wave Propagation Through Micro-Defected Rock Mass
7.1 Equivalent Viscoelastic Model
7.1.1 Pendulum Impact Test
7.1.2 Strain History in Granite
7.1.3 Propagation Coefficients of Granite
7.1.4 Storage Modulus and Loss Modulus of Granite
7.1.5 An Equivalent Viscoelastic Model
7.2 Three-Characteristic Method
7.2.1 Wave Propagation in Continuous Media on Characteristics OA
7.2.2 Wave Propagation in Left Boundary Points
7.2.3 Wave Propagation in Ordinary Interior Points
8 A Split Three-Characteristic Method for Stress Wave Propagation Through Rock Mass with Double-Scale Discontinuities
8.1 A Split Three-Characteristic Method for Stress Wave Propagation Through Rock Mass with Double-Scale Discontinuities
8.1.1 Split Three-Characteristic Method
8.1.2 Examples
8.1.3 Transmission Coefficient and Effective Velocity of Stress Wave Propagation Through Double-Scale Rock Mass Discontinuities
8.2 Effect of Nonlinearly Deformational Macro-Joint on Stress Wave Propagation Through a Double-Scale Discontinuous Rock Mass
8.2.1 Split Three-Characteristic Method Based on the Piecewise Linear DDM
8.2.2 Waveforms of Transmitted Stress Waves Through Nonlinearly Deformational Macro-Joint and Linearly Deformational Macro Joint
8.2.3 Transmission Coefficient of Stress Wave Propagates Through a Double-Scale Discontinuous Rock Mass with a Nonlinearly Deformational Macro-Joint
8.3 Multiple Pulse Transmission Through Rock Mass with Double-Scale Discontinuities
8.3.1 Split Three-Characteristic Method for Considering Multiple Pulse Propagation
8.3.2 Stress Wave Transmission with Multiple Pulses
8.3.3 The Transmission Coefficient, the Effective Velocity and the Energy Transmission Coefficient of Multiple Pulses
8.4 Effect of Unloading Behavior on Stress Wave Transmission in a Double-Scale Discontinuous Rock Mass
8.4.1 Method for Stress Wave Transmission Considering Unloading Behavior
8.4.2 The Stress Wave Transmission with Different Incident Wave Waveforms
8.4.3 The Energy Transmission Coefficient and Amplitude Transmission Coefficient
8.5 Combined Static-Dynamic Loading Effect on the Wave Transmission Properties in the Rock Mass with Macro-Joint and Micro Defect
8.5.1 Split Three-Characteristic Method Considering Static Prestress
8.5.2 Static Prestress Effect on the Wave Transmission
8.5.3 The Energ
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