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Chapter 1 Introduction 1

1.1 Rock and Its Mechanical Behavior 1

1.2 Dynamic Loading and Dynamic Behavior of Rock Masses 1

1.3 Numerical Modeling in Rock Engineering 3

1.4 Challenges in Discrete Element Modeling of Explosion Problems 3

Chapter 2 Mechanical and Dynamic Behavior of Rock Masses 5

2.1 Overview of Rock Masses 5

2.2 Mechanical Behavior of Jointed Rock Masses 8

2.3 Dynamic Response of Jointed Rock Masses 16

Chapter 3 Discrete Element Modeling 21

3.1 Review of Discrete Element Method 21

3.2 Comparison Between Continuum-based Method and DEM 23

3.3 The UDEC Code 25

3.4 Considerations in Dynamic Modeling by Using the UDEC 30

Chapter 4 Applications of UDEC for Static Problems 35

4.1 Application of UDEC in Rock Tunnel Support Evaluation 35

4.2 Application of UDEC in Modeling Hole-cutting in Deep Tunneling 41

4.3 Application of UDEC on Goaf Stability Under a Desert Expressway 47

4.4 Application of UDEC for Analysis of Large Rock Deformation 53

Chapter 5 Applications of UDEC for Rock Dynamic Problems 59

5.1 Mesh Distortion in Dynamic Modeling 59

5.2 Verification of UDEC in Modeling Wave Propagation Through Joints 69

5.3 Wave Transmission Across Multiple Joint Sets 84

Chapter 6 Applications of UDEC Blast Wave Through Rock Tunnels 92

6.1 Technology of Coupled UDEC and AUTODYN Modeling 92

6.2 An Example of Using the Coupled Method 94

6.3 UDEC-AUTODYN Hybrid Modeling a Field Explosion Test 99

6.4 UDEC-AUTODYN Hybrid Modeling of a Large-Scale Underground Explosion Test 112

6.5 Numerical Study on Tunnel Damage Subject to Blast-induced Shock Wave in Jointed Rock Masses 123

Chapter 7 3DEC Modeling of Slope Stability at Norwich Part Mine 144

7.1 Introduction 144

7.2 Computational Model and Rock Properties 145

7.3 Modeling Cases and Results 146

7.4 Conclusions 150

Chapter 8 3DEC Modeling of Wave Propagation in Jointed Rock Masses 151

8.1 2D Equivalence of 3D Plane Wave Propagation Across a Single Joint and a Joint Set 152

8.2 Determination of Mesh Size 153

8.3 Verification on 2D Equivalence of Plane Wave Propagation Across a Single Joint with 3DEC 154

8.4 Normally Incident P-and S-wave Across a Single Joint and a Joint Set 155

8.5 Obliquely Incident P-wave Across a Single Joint and a Joint Set 157

8.6 A Case Study 159

8.7 Discussion and Conclusions 161

Reference 164