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.
1. Cover - p. iv 2. Title page - p. iv 3. Table of Contents - p. iv 4. Copyright - p. iv 5. Foreword - p. ix 6. Preface - p. xiii 7. List of Symbols - p. xix 8. Part 1: Fundamentals - p. xx 9. 1: Characteristics of Failure in Geomaterials - p. 3 10. 2: Failure in Continuum Geomechanics - p. 23 11. 3: The Second-Order Work Criterion - p. 43 12. 4: Numerical and Experimental Investigations of Bifurcations - p. 63 13. 5: Hierarchy of Failure Modes - p. 89 14. Part 2: Applications - p. 123 15. 6: Second-Order Work in Boundary Value Problems - p. 127 16. 7: Engineering Applications - p. 145 17. 8: Soil Erosion as an Instability Problem - p. 173 18. Bibliography - p. 191 19. Index - p. 201
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.
1. Cover - p. iv 2. Title page - p. iv 3. Table of Contents - p. iv 4. Copyright - p. iv 5. Foreword - p. ix 6. Preface - p. xiii 7. List of Symbols - p. xix 8. Part 1: Fundamentals - p. xx 9. 1: Characteristics of Failure in Geomaterials - p. 3 10. 2: Failure in Continuum Geomechanics - p. 23 11. 3: The Second-Order Work Criterion - p. 43 12. 4: Numerical and Experimental Investigations of Bifurcations - p. 63 13. 5: Hierarchy of Failure Modes - p. 89 14. Part 2: Applications - p. 123 15. 6: Second-Order Work in Boundary Value Problems - p. 127 16. 7: Engineering Applications - p. 145 17. 8: Soil Erosion as an Instability Problem - p. 173 18. Bibliography - p. 191 19. Index - p. 201
