Failure in Geomaterials ：A Contemporary Treatise

Publication subTitle ：A Contemporary Treatise

Author： Wan   Richard;Nicot   Francois;Darve   Felix  

Publisher： Elsevier Science‎

Publication year： 2017

E-ISBN: 9780081010563

P-ISBN(Paperback): 9781785480096

Subject： S15 pedology

Keyword： 土壤学

Language： ENG

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Description

Failure in Geomaterials offers a unified view of material failure as an instability of deformation modes framed within the theory of bifurcation.

Using mathematical rigor, logic, physical reasoning and basic principles of mechanics, the authors develop the fundamentals of failure in geomaterials based on the second-order work criterion. Various forms of rupture modes and material instabilities in granular materials are explored both analytically and numerically with lab experimental observations on sand as a backdrop. The authors provide a clear picture of inelastic deformations and failure of geomaterials under various loading conditions.

A unique feature of the book is the systematic application of the developed theory to the failure analysis of some selected engineering problems such as soil nailing, landslides, energy resource extraction, and internal erosion in soils.

  • Provides the fundamentals of the mechanics of geomaterials for a detailed background on the subject
  • Integrates a rigorous mathematical description of failure with mechanisms based on microstructure
  • Helps users apply mathematical models of solid mechanics to engineering practice
  • Contains a systematic development of the fundamentals of failure in heterogeneous multiphasic materials

Chapter

Front Cover

Failure in Geomaterials: A Contemporary Treatise

Copyright

Contents

Foreword

Preface

List of Symbols

Part 1: Fundamentals

1. Characteristics of Failure in Geomaterials

1.1. Description of failure

1.2. A definition for failure

1.3. Failure as an unstable bifurcation with loss of uniqueness

1.4. Failure patterns

2. Failure in Continuum Geomechanics

2.1. Some generalities in continuum mechanics for material systems

2.2. The link between the kinetic energy and the second-order work

2.3. The second-order work in Eulerian formalism

2.4. The second-order work at the material point scale

2.5. The case of homogeneous material specimens

3. The Second-Order Work Criterion

3.1. Second-order work and associated quadratic form

3.2. Control parameters and generalized constitutive matrix

3.3. The fundamental role of Ks

3.4. Conclusions

3.5. Appendices

4. Numerical and Experimental Investigations of Bifurcations

4.1. Essentials of second-order work criterion

4.2. Discrete computations of failure

4.3. Topology of instability cones

4.4. Experimental support for bifurcation

5. Hierarchy of Failure Modes

5.1. Introduction

5.2. Diffuse and localized failure indicators

5.3. Rice localization criterion

5.4. Rice’s localization criterion and second-order work vanishing

5.5. Localized and diffuse failures via discrete element approach

5.6. Localized and diffuse failures via continuous approaches

Part 2: Applications

6. Second-Order Work in Boundary Value Problems

6.1. Global second-order work

6.2. Spectral analysis of global tangent stiffness matrix

6.3. Shallow foundation as a benchmark problem

7. Engineering Applications

7.1. Stability analysis of a soil-nailed wall

7.2. Stability analysis of Petacciato (Italy) landslide

7.3. Thermo-hydro-mechanical failure analysis of oil sand reservoirs

8. Soil Erosion as an Instability Problem

8.1. Introduction

8.2. Modeling the erosion process

8.3. Closing remarks

Bibliography

Index

Back Cover

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