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Table of contents
Contents
List of Figures
List of Tables
1 Introduction
1 Motivation
2 Overview of the numerical methods applied to rock mechanics
2.1 Finite Difference and Finite Volume Method (FDM, FVM)
2.2 Finite Element Method (FEM)
2.3 Meshless methods
2.4 Boundary Element Method (BEM)
2.5 Discrete Element Method (DEM)
2.6 Discrete Fracture Network (DFN)
2.7 Hybrid methods
3 Aims, scopes and methodology
4 Outline
2 2D rock mechanics model
1 Model description
2 2D model formulation
2.1 Enhanced kinematics
2.2 Equilibrium equations
2.3 Constitutive model
2.4 Computational procedure
2.5 Anisotropic model with multisurface criterion
3 Numerical results
3.1 Validation test on beam with embedded discontinuities
3.2 Preparation of 2D plain strain rock specimens
3.3 Numerical tests on heterogeneous specimens
4 Final comments on the presented 2D rock mechanics model
Rock mechanics and failure phenomena
3 3D rock mechanics model
1 Model description
2 3D model formulation
2.1 Kinematics of strong disontinuity
2.2 The finite element approximation
2.3 Virtual work
2.4 Constitutive model
2.5 Computational procedure
2.6 The global solution procedure
2.7 The failure criteria
3 Numerical examples
3.1 Embedded discontinuity beam test
3.2 The construction of rock specimens
3.3 Rock specimen under uniaxial (unconfined) compression and tension test
3.4 Influence of pre-existing defects
4 Final comments on the presented 3D rock mechanics model
4 Influence of specimen shape deviations on uniaxial compressive strength
1 Research motivation
2 Preparation of specimens with targeted shape deviations
3 Numerical model
4 Numerical results
5 Final comments on research of shape deviations influence to the UCS
5 2D model for failure of fluid-saturated rock medium
1 Model introduction
2 The porous media formulation
3 The discrete lattice model description
3.1 The discrete lattice mechanical and fluid flow formulations
3.2 The strong discontinuities in poro-elastoplastic solid
4 The enhanced finite element formulation
4.1 The finite element interpolations
4.2 The enhanced weak form
4.3 The finite element equations of a coupled poroplastic problem .
4.4 The operator split algorithm
5 Numerical simulations
5.1 Uncoupled fluid flow across the lattice
5.2 Uniaxial coupled poroelastic problem
5.3 Drained compression test of the poro-plastic sample with the localized failure
6 Final comments on the presented failure model of fluid-saturated rock medium
6 Conclusions and future perspectives
1 Conclusions
2 Future perspectives
Bibliography
