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

Richard Wan is Professor with the Department of Civil Engineering at the University of Calgary, Canada. He sits on the Editorial Board of several international journals and was the Vice-Chair of the TC103 (Numerical Methods) of the ISSMGE from 2009-2017.

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

Part 1. Fundamentals 1. Characteristics of Failure in Geomaterials. 2. Failure in Continuum Geomechanics. 3. The Second-Order Work Criterion. 4. Numerical and Experimental Investigations of Bifurcations. 5. Hierarchy of Failure Modes. Part 2. Applications 6. Second-Order Work in Boundary Value Problems. 7. Engineering Applications. 8. Soil Erosion as an Instability Problem.