Rock Mechanics and Engineering

8.

Analysis Methods in Rock Engineering

8.1.

Limit Equilibrium Analysis

8.1.1.

Principles of Limit Equilibrium

8.1.2.

Factor of Safety

8.1.3.

Stereographic Projection Analysis

8.1.3.1.

Plotting Planes and Lines

8.1.3.2.

Kinematic Analysis

8.1.3.3.

8.1.4.

Planar Failure Analysis

8.1.5.

Wedge Failure Analysis

8.1.6.

Toppling Failure Analysis

8.1.7.

Circular Failure Analysis

8.1.8.

Rotational Failure Analysis

8.2.

Empirical Design Methods

8.2.1.

Use of Rock Mass Classifications in Design

8.2.2.

Empirical Correlations

8.2.3.

8.2.4.

Limitations of Empirical Methods

8.3.

Numerical Modeling

8.3.1.

Continuum Models

8.3.1.1.

Finite Element Method

8.3.1.1.1.

8.3.1.1.2.

Boundary Conditions

8.3.1.1.3.

Material Models

8.3.1.1.4.

Mesh Generation

8.3.1.2.

Finite Difference Method

8.3.1.2.1.

Grid Generation

8.3.1.2.2.

Solution Techniques

8.3.1.2.3.

Explicit vs. Implicit Methods

8.3.2.

Discontinuum Models

8.3.2.1.

Distinct Element Method

8.3.2.1.1.

Block Representation

8.3.2.1.2.

8.3.2.1.3.

Rigid vs. Deformable Blocks

8.3.2.2.

Discontinuous Deformation Analysis

8.3.2.2.1.

8.3.2.2.2.

Block Interaction

8.3.2.2.3.

Contact Detection

8.3.3.

8.3.3.1.

Coupled Continuum-Discontinuum Approaches

8.3.3.2.

Multi-scale Modeling

8.3.4.

Model Calibration

8.3.5.

Model Validation

8.3.6.

Interpretation of Numerical Results

8.3.7.

Sensitivity Analysis

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9. Rock Engineering for Tunnels and Underground Excavations