Finite Element Methods : Concepts And Applications In Geomechanics

Computational geomechanics is an emerging field in the disciplines of Mining, Civil and Geotechnical Engineering. Recent advancements in finite element methods (FEMs) have made it possible to solve a variety of complex problems related to geomechanics. This thoroughly revised second edition enhances the knowledge of the finite element methods in design and analysis of structures and excavations made in rock mass. A fine blend of finite element methodology and principles of rock mechanics, the text emphasizes the basics of stress–strain analysis, anisotropic material behaviour, isoparametric finite element method, rock mass yielding/failure behaviour and its formulation in FEM procedure, rock joint behaviour as equivalent material and discrete system. Analytical and numerical formulations of interaction between rock bolts and rock mass are introduced emphasizing parameters which affect bolt performance.

1. Analysis of Stresses and Strains

2. Stress–Strain Relationship

3. Introduction of Finite Element Method in Elasticity: Isoparametric Triangular Elements

4. Quadrilateral Finite Elements

5. Axisymmetric and Three-dimensional Finite Element Method

6. Rock and Rock Mass Failure Criteria

7. Elastic–Plastic Finite Element Analysis

8. Strength and Deformability of Jointed Rock Mass

9. Finite Element Procedures for Analysis of Rock Joints

10. Analysis of Rock Bolts