Description

Book Synopsis
Up-to-date edition of Computational Geomechanics, broadening the focus of the first edition to include more applications This extended second edition of the highly successful book Computational Geomechanics with special reference to Earthquake Engineering by Zienkiewicz O.C. , Chan A.H.C. , Pastor M. , Schrefler B.A.

Table of Contents

Preface

1 Introduction and the Concept of Effective Stress

1.1 PRELIMINARY REMARKS

1.2 THE NATURE OF SOILS AND OTHER POROUS MEDIA: WHY A FULL DEFORMATION ANALYSIS IS THE ONLY VIABLE APPROACH FOR PREDICTION

1.3 CONCEPTS OF EFFECTIVE STRESS IN SATURATED OR PARTIALLY SATURATED MEDIA

REFERENCES 16

2 Equations Governing the Dynamic, Soil–Pore Fluid, Interaction

2.1 GENERAL REMARKS ON THE PRESENTATION

2.2 FULLY SATURATED BEHAVIOUR WITH A SINGLE PORE FLUID (WATER)

2.3 PARTIALLY SATURATED BEHAVIOUR WITH AIR PRESSURE NEGLECTED (pa = 0)

2.4 PARTIALLY SATURATED BEHAVIOUR WITH AIR FLOW CONSIDERED (pa ≥ 0)

2.5 ALTERNATIVE DERIVATION OF THE GOVERNING EQUATION (OF SECTION 2.2–2.4) BASED ON THE HYBRID MIXTURE THEORY

2.6 CONCLUDING REMARKS

REFERENCES 40

3 Finite Element Discretization and Solution of the Governing Equations

3.1 THE PROCEDURE OF DISCRETIZATION BY THE FINITE ELEMENT METHOD

3.2 u-p DISCRETIZATION FOR A GENERAL GEOMECHANICS FINITE ELEMENT CODE

3.3 THEORY: TENSORIAL FORM OF THE EQUATIONS

3.4 CONCLUSIONS

REFERENCES 25

4 Constitutive Relations – Plasticity

4.1 INTRODUCTION

4.2 THE GENERAL FRAMEWORK OF PLASTICITY

4.3 CRITICAL STATE MODELS

4.4 GENERALIZED PLASTICITY MODELLING

4.5 ALTERNATIVE ADVANCED MODELS

4.6 CLOSURE

REFERENCES 138

5 Some Special Aspects of Analysis and Formulation: Radiation Boundaries, Adaptive Finite Element Requirement and Incompressible Behaviour

5.1 INTRODUCTION

5.2 FAR FIELD SOLUTIONS IN QUASI-STATIC PROBLEMS

5.3 INPUT FOR EARTHQUAKE ANALYSIS AND RADIATION BOUNDARY

5.4 ADAPTIVE REFINEMENT FOR IMPROVED ACCURACY AND THE CAPTURE OF LOCALIZED PHENOMENA

5.5 REGULARIZATION THRUOGH GRADIENT DEPENDENT PLASTICITY

5.6 STABILIZATION OF COMPUTATION FOR NEARLY INCOMPRESSIBLE BEHAVIOUR WITH MIXED INTERPOLATION

5.7 CONCLUSIONS

REFERENCES 60

6 Examples for Static, Consolidation and Hydraulic Fracturing Problems

6.1 INTRODUCTION

6.2 STATIC PROBLEMS

6.3 SEEPAGE

6.4 CONSOLIDATION

6.5 HYDRAULIC FRACTURING: FRACTURE IN A FULLY SATURATED POROUS MEDIUM DRIVEN BY INCREASE IN PORE FLUID PRESSURE

6.6 CONCLUSIONS

REFERENCES 59

7 Validation of Prediction by Centrifuge

7.1 INTRODUCTION

7.2 SCALING LAWS OF CNTRIFUGE MODELLING

7.3 CENTRIFUGE TEST OF A DYKE SIMILAR TO A PROTOTYPE RETAINING DYKE IN VENEZUELA

7.4 THE VELACS PROJECT

7.5 COMPARISON WITH THE VELACS CENTRIFUGE EXPERIMENT

7.6 CENTRIFUGE TEST OF A RETAING WALL

7.7 CONCLUSIONS

REFERENCES 26

8 Applications to unsaturated problems

8.1 INTRODUCTION

8.2 ISOTHERMAL DRAINAGE OF WATER FROM A VERTICAL COLUMN OF SAND

8.3 AIR STORAGE MODELLING IN AN AQUIFER

8.4 COMPARISON OF CONSOLIDATION AND DYNAMIC RESULTS BETWEEN SMALL STRAIN AND FINITE DEFORMATION FORMULATION

8.5 DYNAMIC ANALYSIS WITH A FULL TWO PHASE FLOW SOLUTION OF A PARTIALLY SATURATED SOIL COLUMN SUBJECTED TO A STEP LOAD

8.6 COMPACTION AND LAND SUBSIDENCE ANALYSIS RELATED TO THE EXPLOITATION OF GAS RESERVOIRS

8.7 INITIATION OF LANDSLIDE IN PARTIALLY SATURATED SOIL

8.8 CONCLUSIONS

REFERENCES 44

9 Prediction Application and Back Analysis to Earthquake Engineering – Basic Concepts, Seismic Input, Frequency and Time Domain Analysis

9.1 INTRODUCTION

9.2 MATERIAL PROPERTIES OF SOIL

9.3 CHARACTERISTICS OF EQUIVALENT LINEAR METHOD

9.4 PORT ISLAND LIQUEFACTION ASSESSMENT USING THE CYCLE-VISE EQUIVALENT LINEAR METHOD

9.5 PORT ISLAND LIQUEFACTION USING ONE COLUMN NONLINEAR ANALYSIS IN MULTIDIRECTION

9.6 SIMULATION OF LIQUEFACTION BEHAVIOUR DURING NIIGATA EARTHQUAKE TO ILLUSTRATE THE EFFECT OF INITIAL SHEAR STRESS

9.7 LARGE SCALE LIQUEFACTION EXPERIMENT USING THREE DIMENSIONL NONLINEAR ANALYSIS

9.8 LOWER SAN FERNANDO DAM FAILURE

REFERENCES 44

10 Beyond Failure. Modelling of Fluidized Geomaterials: Fast Catastrophic Landslides

10.1 INTRODUCTION

10.2 MATHEMATICAL MODEL: A HIERARCHICAL SET OF MODELS FOR THE COUPLED BEHAVIOUR OF FLUIDIZED GEOMATERIALS

10.3 BEHAVIOUR OF FLUIDIZED SOILS: RHEOLOGICAL MODELLING ALTERNATIVES

10.4 NUMERICAL MODELLING: 2 PHASE DEPTH INTEGRATED COUPLED MODELS

10.5 EXAMPLES AND APPLICATIONS

10.6 CONCLUSIONS

REFERENCES 48 (500)

Computational Geomechanics

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    A Hardback by Andrew H. C. Chan, Manuel Pastor, Bernhard A. Schrefler

    15 in stock

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      View other formats and editions of Computational Geomechanics by Andrew H. C. Chan

      Publisher: John Wiley & Sons Inc
      Publication Date: 28/04/2022
      ISBN13: 9781118350478, 978-1118350478
      ISBN10: 1118350472

      Description

      Book Synopsis
      Up-to-date edition of Computational Geomechanics, broadening the focus of the first edition to include more applications This extended second edition of the highly successful book Computational Geomechanics with special reference to Earthquake Engineering by Zienkiewicz O.C. , Chan A.H.C. , Pastor M. , Schrefler B.A.

      Table of Contents

      Preface

      1 Introduction and the Concept of Effective Stress

      1.1 PRELIMINARY REMARKS

      1.2 THE NATURE OF SOILS AND OTHER POROUS MEDIA: WHY A FULL DEFORMATION ANALYSIS IS THE ONLY VIABLE APPROACH FOR PREDICTION

      1.3 CONCEPTS OF EFFECTIVE STRESS IN SATURATED OR PARTIALLY SATURATED MEDIA

      REFERENCES 16

      2 Equations Governing the Dynamic, Soil–Pore Fluid, Interaction

      2.1 GENERAL REMARKS ON THE PRESENTATION

      2.2 FULLY SATURATED BEHAVIOUR WITH A SINGLE PORE FLUID (WATER)

      2.3 PARTIALLY SATURATED BEHAVIOUR WITH AIR PRESSURE NEGLECTED (pa = 0)

      2.4 PARTIALLY SATURATED BEHAVIOUR WITH AIR FLOW CONSIDERED (pa ≥ 0)

      2.5 ALTERNATIVE DERIVATION OF THE GOVERNING EQUATION (OF SECTION 2.2–2.4) BASED ON THE HYBRID MIXTURE THEORY

      2.6 CONCLUDING REMARKS

      REFERENCES 40

      3 Finite Element Discretization and Solution of the Governing Equations

      3.1 THE PROCEDURE OF DISCRETIZATION BY THE FINITE ELEMENT METHOD

      3.2 u-p DISCRETIZATION FOR A GENERAL GEOMECHANICS FINITE ELEMENT CODE

      3.3 THEORY: TENSORIAL FORM OF THE EQUATIONS

      3.4 CONCLUSIONS

      REFERENCES 25

      4 Constitutive Relations – Plasticity

      4.1 INTRODUCTION

      4.2 THE GENERAL FRAMEWORK OF PLASTICITY

      4.3 CRITICAL STATE MODELS

      4.4 GENERALIZED PLASTICITY MODELLING

      4.5 ALTERNATIVE ADVANCED MODELS

      4.6 CLOSURE

      REFERENCES 138

      5 Some Special Aspects of Analysis and Formulation: Radiation Boundaries, Adaptive Finite Element Requirement and Incompressible Behaviour

      5.1 INTRODUCTION

      5.2 FAR FIELD SOLUTIONS IN QUASI-STATIC PROBLEMS

      5.3 INPUT FOR EARTHQUAKE ANALYSIS AND RADIATION BOUNDARY

      5.4 ADAPTIVE REFINEMENT FOR IMPROVED ACCURACY AND THE CAPTURE OF LOCALIZED PHENOMENA

      5.5 REGULARIZATION THRUOGH GRADIENT DEPENDENT PLASTICITY

      5.6 STABILIZATION OF COMPUTATION FOR NEARLY INCOMPRESSIBLE BEHAVIOUR WITH MIXED INTERPOLATION

      5.7 CONCLUSIONS

      REFERENCES 60

      6 Examples for Static, Consolidation and Hydraulic Fracturing Problems

      6.1 INTRODUCTION

      6.2 STATIC PROBLEMS

      6.3 SEEPAGE

      6.4 CONSOLIDATION

      6.5 HYDRAULIC FRACTURING: FRACTURE IN A FULLY SATURATED POROUS MEDIUM DRIVEN BY INCREASE IN PORE FLUID PRESSURE

      6.6 CONCLUSIONS

      REFERENCES 59

      7 Validation of Prediction by Centrifuge

      7.1 INTRODUCTION

      7.2 SCALING LAWS OF CNTRIFUGE MODELLING

      7.3 CENTRIFUGE TEST OF A DYKE SIMILAR TO A PROTOTYPE RETAINING DYKE IN VENEZUELA

      7.4 THE VELACS PROJECT

      7.5 COMPARISON WITH THE VELACS CENTRIFUGE EXPERIMENT

      7.6 CENTRIFUGE TEST OF A RETAING WALL

      7.7 CONCLUSIONS

      REFERENCES 26

      8 Applications to unsaturated problems

      8.1 INTRODUCTION

      8.2 ISOTHERMAL DRAINAGE OF WATER FROM A VERTICAL COLUMN OF SAND

      8.3 AIR STORAGE MODELLING IN AN AQUIFER

      8.4 COMPARISON OF CONSOLIDATION AND DYNAMIC RESULTS BETWEEN SMALL STRAIN AND FINITE DEFORMATION FORMULATION

      8.5 DYNAMIC ANALYSIS WITH A FULL TWO PHASE FLOW SOLUTION OF A PARTIALLY SATURATED SOIL COLUMN SUBJECTED TO A STEP LOAD

      8.6 COMPACTION AND LAND SUBSIDENCE ANALYSIS RELATED TO THE EXPLOITATION OF GAS RESERVOIRS

      8.7 INITIATION OF LANDSLIDE IN PARTIALLY SATURATED SOIL

      8.8 CONCLUSIONS

      REFERENCES 44

      9 Prediction Application and Back Analysis to Earthquake Engineering – Basic Concepts, Seismic Input, Frequency and Time Domain Analysis

      9.1 INTRODUCTION

      9.2 MATERIAL PROPERTIES OF SOIL

      9.3 CHARACTERISTICS OF EQUIVALENT LINEAR METHOD

      9.4 PORT ISLAND LIQUEFACTION ASSESSMENT USING THE CYCLE-VISE EQUIVALENT LINEAR METHOD

      9.5 PORT ISLAND LIQUEFACTION USING ONE COLUMN NONLINEAR ANALYSIS IN MULTIDIRECTION

      9.6 SIMULATION OF LIQUEFACTION BEHAVIOUR DURING NIIGATA EARTHQUAKE TO ILLUSTRATE THE EFFECT OF INITIAL SHEAR STRESS

      9.7 LARGE SCALE LIQUEFACTION EXPERIMENT USING THREE DIMENSIONL NONLINEAR ANALYSIS

      9.8 LOWER SAN FERNANDO DAM FAILURE

      REFERENCES 44

      10 Beyond Failure. Modelling of Fluidized Geomaterials: Fast Catastrophic Landslides

      10.1 INTRODUCTION

      10.2 MATHEMATICAL MODEL: A HIERARCHICAL SET OF MODELS FOR THE COUPLED BEHAVIOUR OF FLUIDIZED GEOMATERIALS

      10.3 BEHAVIOUR OF FLUIDIZED SOILS: RHEOLOGICAL MODELLING ALTERNATIVES

      10.4 NUMERICAL MODELLING: 2 PHASE DEPTH INTEGRATED COUPLED MODELS

      10.5 EXAMPLES AND APPLICATIONS

      10.6 CONCLUSIONS

      REFERENCES 48 (500)

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