A Primer on Theoretical Soil Mechanics 1st Edition by Dimitrios Kolymbas ISBN 9781009210331 1009210335

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ISBN 10: 1009210335
ISBN 13: 9781009210331
Author: Dimitrios Kolymbas

A Primer on Theoretical Soil Mechanics 1st Edition Table of contents:

1 Granular Materials as Soft Solids

1.1 Soil and Geotechnical Engineering

1.2 Granulates in Chemical Engineering

1.3 Can We Consider Granular Media as Continua?

1.4 Differences between Granulates and Other Solids

2 Mechanical Behaviour of Soil: Experimental Results

2.1 The Meaning of Mechanical Behaviour

2.2 Element Tests

2.3 Typical Laboratory Tests

2.4 Oedometric Test

2.5 Drained Triaxial Test

2.6 Undrained Triaxial Tests

2.7 Cyclic Tests

2.8 True Triaxial Apparatus

2.9 Simple Shear

2.10 Strain- versus Stress-Control

2.11 Role of Time

2.12 Accuracy of Test Results

2.13 Looking into the Samples

3 Mechanical Behaviour of Soil: Intuitively

3.1 Equations versus Intuition

3.2 Proportional Paths for Granular Materials

3.3 Relation between Strain Paths and Stress Paths

3.4 Proportional Straining Starting at T ≠ 0

3.5 Triaxial Tests

4 Vectors and Tensors

4.1 Purpose of This Chapter

4.2 Vectors

4.3 Tensors

5 Fields

5.1 Fields in Continuum Mechanics

5.2 Coordinates

5.3 Vector Fields

5.4 Continuous Fields and Discontinuities

6 Deformation

6.1 Deformation and Grain Rearrangement

6.2 How to Describe Deformation?

6.3 Euler and Lagrange Approaches

6.4 Deformation Gradient

6.5 Rotation

6.6 Displacement Gradient

6.7 Time and Spatial Derivatives

6.8 Example: Simple Shear

6.9 Equations of Compatibility

7 Stress

7.1 What Is the Stress Tensor?

7.2 Mohr Circle

7.3 Principal Stress Space

7.4 Stress Tensor in Cylindrical Coordinates

7.5 Invariants and Eigenvalues

7.6 Example: Stress in a Shear Box

8 Conservation Laws (Balance Equations)

8.1 Integrals of Motion

8.2 Conservation Laws as Field Equations

8.3 Weak Solution of the Equilibrium Equation

8.4 Jump Relations

8.5 Integral Representations of Conservation Equations

8.6 Stress and Intergranular Forces

8.7 Stress Fields

9 Internal Friction and Shear Strength

9.1 Meaning of Strength

9.2 Dry Friction in Continuum Mechanics

9.3 Friction Angle

9.4 Cohesion

9.5 Rock as Frictional Material

10 Collapse

10.1 Importance of Collapse in Soil Mechanics

10.2 The Phenomenon of Collapse

10.3 Plastified Zones

10.4 Collapse Mechanisms

10.5 Safety

10.6 Imminent Collapse

11 Constitutive Equations

11.1 Constitutive Equation versus Constitutive Law

11.2 Why Do We Need Constitutive Equations?

11.3 Are Constitutive Equations Dispensable in View of Artificial Intelligence?

11.4 Material Constants

11.5 Calibration

11.6 Response Envelopes

11.7 Proportional Strain Paths

11.8 Large Deformations

11.9 Role of Thermodynamics

11.10 Comparison of Constitutive Equations

12 Elasticity

12.1 Definition of Elasticity

12.2 Linear Elasticity

12.3 Modifications of Elasticity

12.4 Elasticity in Soil Mechanics

13 Elastic Waves

13.1 Purpose of This Chapter

13.2 What Are Waves?

13.3 Kinematic Waves

13.4 Elastic Waves in One-dimensional Continua

13.5 Waves in Bodies of Finite Dimensions

13.6 Body Waves

13.7 Rayleigh Waves

13.8 Impairment Due to Waves

14 Plasticity Theory

14.1 Relevance of Plasticity Theory

14.2 One-dimensional Origin of Plasticity

14.3 Yield Function, Loading–Unloading

14.4 Normality Rule

14.5 Collapse or Limit Load Theorems

14.6 Elastoplastic Relations for Soil

14.7 Criticism of Plasticity Theory in Soil Mechanics

15 Hypoplasticity

15.1 Hypoplasticity as an Alternative to Elastoplasticity

15.2 Non-linear Rate Equations

15.3 Notation

15.4 Incremental Non-linearity

15.5 Mathematical Description of Irreversibility

15.6 Emergence of Hypoplasticity

15.7 Links to Elastoplasticity

15.8 Improving Memory by Means of Intergranular Strain

16 Barodesy

16.1 Introduction

16.2 Notation

16.3 Derivation of the Constitutive Equation

16.4 The Equations of Barodesy

16.5 Critical States Revisited

16.6 The R-function

16.7 Calibration

16.8 Simulation of Element Tests

16.9 Barodesy for Sand

16.10 Barodesy for Clay

16.11 Reflecting upon Barodesy

16.12 Numerical Simulation of Element Tests

17 Uniqueness

17.1 Meaning of Uniqueness and Related Notions

17.2 Uniqueness in Element Tests

17.3 Shear Bands and Faults

18 Symmetry

18.1 General Remarks

18.2 Principle of Material Frame Indifference

18.3 Isotropic Materials

18.4 Scaling

18.5 Mechanical Similarity

19 Interaction with Water

19.1 Water in Soil

19.2 Multiphase Materials

19.3 Effective Stress in Water-saturated Soil

19.4 Darcy’s Law

19.5 Balance Equations

19.6 Consolidation

19.7 Groundwater Flow

19.8 Unsaturated Soil: An Exkurs to Physical Chemistry

20 Computing in Soil Mechanics

20.1 Pitfalls of Computing

20.2 Problems with Geotechnical Engineering Computations

20.3 Limits of Continuum Mechanics

20.4 Quality of Numerical Results

20.5 Coping with Uncertain Predictions

21 Outlook

21.1 Open Questions

References

Index

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Dimitrios Kolymbas,Primer,Theoretical Soil Mechanics