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Failure in Geomaterials
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 appli...
Inside the Structure of Granular Materials
Inside the Structure of Granular Materials: Chains, Cycles and Scale Effects provides an updated overview of the latest results related to the microstructural understanding of the mechanical behavior of granular materials. In particular, this book considers different scales of analysis, from the macroscopic scale (at which constitutive relations can be inferred) to the microscopic scale (namely, the particle or the contact scale). This book emphasizes the intermediate scale consisting in grain clusters (cycles or force chains). Provides an updated overview of the latest results related to the microstructural understanding of the mechanical behavior of granular materials Examines different scales of analysis Covers the macroscopic scale (at which constitutive relations can be inferred) to the microscopic scale (namely, the particle or the contact scale) Emphasizes the intermediate scale consisting in grain clusters (cycles or force chains)
Stability of Discrete Non-conservative Systems
Stability of Discrete Non-conservative Systems first exposes the general concepts and results concerning stability issues. It then presents an approach of stability that is different from Lyapunov which leads to the second order work criterion. Thanks to the new concept of Kinematic Structural Stability, a complete equivalence between two approaches of stability is obtained for a divergent type of stability. Extensions to flutter instability, to continuous systems, and to the dual questions concerning the measure of non-conservativeness provides a full, fresh look at these fundamental questions. A special chapter is devoted to applications for granular systems. Presents a structured review on stability questions Provides analytical methods and key concepts that may be used in non-conservative frameworks like hypoelasticity
Particle-Based Methods
The book contains 11 chapters written by relevant scientists in the field of particle-based methods and their applications in engineering and applied sciences. The chapters cover most particle-based techniques used in practice including the discrete element method, the smooth particle hydrodynamic method and the particle finite element method. The book will be of interest to researchers and engineers interested in the fundamentals of particle-based methods and their applications.
Inside the Structure of Granular Materials
Inside the Structure of Granular Materials: Chains, Cycles and Scale Effects provides an updated overview of the latest results related to the microstructural understanding of the mechanical behavior of granular materials. In particular, this book considers different scales of analysis, from the macroscopic scale (at which constitutive relations can be inferred) to the microscopic scale (namely, the particle or the contact scale). This book emphasizes the intermediate scale consisting in grain clusters (cycles or force chains). Provides an updated overview of the latest results related to the microstructural understanding of the mechanical behavior of granular materials Examines different scales of analysis Covers the macroscopic scale (at which constitutive relations can be inferred) to the microscopic scale (namely, the particle or the contact scale) Emphasizes the intermediate scale consisting in grain clusters (cycles or force chains)
Degradations and Instabilities in Geomaterials
This book presents the most recents developments in the modelling of degradations (of thermo-chemo-mechanical origin) and of bifurcations and instabilities (leading to localized or diffuse failure modes) taking place in geomaterials (soils, rocks, concrete). Applications (landslides, rockfalls, debris flows, concrete and rock ageing, etc.) are discussed in detail.
Stability of Discrete Non-conservative Systems
Stability of Discrete Non-conservative Systems first exposes the general concepts and results concerning stability issues. It then presents an approach of stability that is different from Lyapunov which leads to the second order work criterion. Thanks to the new concept of Kinematic Structural Stability, a complete equivalence between two approaches of stability is obtained for a divergent type of stability. Extensions to flutter instability, to continuous systems, and to the dual questions concerning the measure of non-conservativeness provides a full, fresh look at these fundamental questions. A special chapter is devoted to applications for granular systems. Presents a structured review on stability questions Provides analytical methods and key concepts that may be used in non-conservative frameworks like hypoelasticity
Modeling and Mechanics of Granular and Porous Materials
Soils are complex materials: they have a particulate structure and fluids can seep through pores, mechanically interacting with the solid skeleton. Moreover, at a microscopic level, the behaviour of the solid skeleton is highly unstable. External loadings are in fact taken by grain chains which are continuously destroyed and rebuilt. Many issues of modeling, even of the physical details of the phenomena, remain open, even obscure; de Gennes listed them not long ago in a critical review. However, despite physical complexities, soil mechanics has developed on the assumption that a soil can be seen as a continuum, or better yet as a medium obtained by the superposition of two and sometimes thre...
Proceedings of the 7th International Conference on Discrete Element Methods
This book presents the latest advances in Discrete Element Methods (DEM) and technology. It is the proceeding of 7th International Conference on DEM which was held at Dalian University of Technology on August 1 - 4, 2016. The subject of this book are the DEM and related computational techniques such as DDA, FEM/DEM, molecular dynamics, SPH, Meshless methods, etc., which are the main computational methods for modeling discontinua. In comparison to continua which have been already studied for a long time, the research of discontinua is relatively new, but increases dramatically in recent years and has already become an important field. This book will benefit researchers and scientists from the academic fields of physics, engineering and applied mathematics, as well as from industry and national laboratories who are interested in the DEM.
