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Table of contents
1. INTRODUCTION
1.1. OVERALL CONSIDERATIONS AND OBJECTIVES
1.2. METHODOLOGY
1.3. BRIEF LITERATURE REVIEW
1.3.1. Poromechanics and Linear Poroelasticity
1.3.2. Strain Localization and Continuum Damage Mechanics
1.3.3. Porous Media Subjected to Damage
1.3.4. Integral Equations and BEM Applied to Poroelasticity and to Damage Mechanics
1.4. THESIS STRUCTURE
2. ASPECTS ON POROMECHANICS AND CONTINUUM DAMAGE MECHANICS
2.1. OVERALL CONSIDERATIONS
2.2. DESCRIPTION OF A SATURATED POROUS MEDIUM
2.3. BEHAVIOR OF THE SKELETON
2.3.1. Motion of a Continuum. Displacement. Deformation Gradient
2.3.2. Porosity. Void Ratio
2.3.3. Strain Tensor
2.4. BEHAVIOR OF THE FLUID PHASE
2.4.1. Particle Derivative
2.4.2. Relative Flow Vector of a Fluid Mass. Filtering Vector. Fluid Mass Content
2.5. MASS BALANCE
2.5.1. Eulerian Continuity Equations
2.5.2. Lagrangean Continuity Equations
2.6. MOMENTUM BALANCE
2.6.1. The Hypothesis of Local Forces
2.6.2. Momentum Balance
2.6.3. The Dynamic Theorem
2.7. STRESS TENSOR
2.8. EQUILIBRIUM EQUATION
2.9. PARTIAL STRESS TENSOR
2.10. ASPECTS ON THE CONTINUUM DAMAGE MECHANICS
2.10.1. Damage Variable and Effective Stress
2.10.2. Isotropic Local Damage Model (Marigo, 1981)
2.10.3 Comments on Strain Localization
3. PORO-DAMAGE FORMULATION AND BEM IMPLEMENTATION
3.1. OVERALL CONSIDERATIONS
3.2. PORO-DAMAGE FORMULATION
3.2.1. Constitutive Laws
3.2.2. Fluid Transport Law
3.2.3. Fluid Continuity Equation
3.2.4. Equilibrium Equation
3.2.5. Rates of the Variables
3.3. INFLUENCE OF DAMAGE ON THE POROELASTIC PARAMETERS
3.4. ASPECTS ON THE BOUNDARY ELEMENT METHOD
3.4.1. Boundary Elements and Discretization
3.4.2. Domain Discretization
3.5. BEM FORMULATION
3.5.1. Integral Formulation for the Solid Phase
3.5.2. Integral Formulation for the Fluid Phas
3.5.3. Time-dependent Integral Formulation
3.5.4. Algebraic System
3.5.5. Solution Procedure
3.5.6. Algorithm to Evaluate the Damage Level
4. NUMERICAL EXAMPLES
4.1. OVERALL CONSIDERATIONS
4.2. LINEAR POROELASTICITY EXAMPLES
4.2.1. One-dimensional Consolidation
4.2.2. Plane Consolidation
4.2.3. Poroelastic Response under Different Loading Conditions
4.3. EXAMPLES ON THE ADOPTED DAMAGE MODEL
4.3.1. Characterization and Parametric Analysis of the Model
4.3.2. Solid under Cyclic Loading
4.3.3. Solid with Defect under Uniaxial Tension
4.4. EXAMPLES ON POROELASTICITY COUPLED TO DAMAGE
4.4.1. Poroelastic Column Subject to Damage
4.4.2. Poroelastic Plane Domain subjected to Damage
4.4.3. Brief Comments on the Shallow and Deep Foundation Structures
CONCLUSION AND PERSPECTIVES
BIBLIOGRAPHY
