This textbook explores the theory of Cosserat continuum mechanics, and covers fundamental tools, general laws and major models, as well as applications to the mechanics of granular media. While classical continuum mechanics is based on the axiom that the stress tensor is symmetric, theories such as that expressed in the seminal work of the brothers Eugene and Francois Cosserat are characterized by a non-symmetric stress tensor. The use of von Mises motor mechanics is introduced, for the compact mathematical description of the mechanics and statics of Cosserat continua, as the Cosserat continuum is a manifold of oriented "rigid particles" with 3 dofs of displacement and 3 dofs of rotation, rather than a manifold of points with 3 dofs of displacement. Here, the analysis is restricted to infinitesimal particle displacements and rotations. This book is intended as a valuable supplement to standard Continuum Mechanics courses, and graduate students as well as researchers in mechanics and applied mathematics will benefit from its self-contained text, which is enriched by numerous examples and exercises.

The identification of meso-scale phenomena - occurring between microscopic and continuum length scales - has been one of the most exciting developments in rock mechanics in the last decade. Meso-scale phenomena are considered as the bridge between the two length scales in understanding shear between material interfaces as well as particulate systems and in studying material response. Examples are the initiation of seismic slip along fault planes at great depths at rates nearing shock conditions, and the initiation and rapid runout of landslides near the earth's surface. Additionally, the basic physics of thermo-poro-mechanical coupling can be elucidated through a meso-scale mechanics approach as a means of understanding the loss of shearing resistance when water and heat are trapped inside almost impervious clay layers under great pressure. This book presents a collection of 21 current, peer-reviewed articles on shear physics at the meso-scale in earthquake and landslide mechanics, authored by leading international experts in the field. Contributions are grouped in 5 chapters, discussing (1) the dynamics of frictional slip, (2) fault gauge mechanics, (3) experimental fault zone mechanics, (4) granular shear and liquefaction, and (5) landslides' dynamics. This research area has broad applications to the fields of earth sciences and geoengineering, with immediate bearing on our understanding of both earthquake and landslide mechanics, two geological processes that pose great risk to man kind worldwide.

The identification of meso-scale phenomena - occurring between microscopic and continuum length scales - has been one of the most exciting developments in rock mechanics in the last decade. Meso-scale phenomena are considered as the bridge between the two length scales in understanding shear between material interfaces as well as particulate systems and in studying material response. Examples are the initiation of seismic slip along fault planes at great depths at rates nearing shock conditions, and the initiation and rapid runout of landslides near the earth's surface. Additionally, the basic physics of thermo-poro-mechanical coupling can be elucidated through a meso-scale mechanics approach as a means of understanding the loss of shearing resistance when water and heat are trapped inside almost impervious clay layers under great pressure. This book presents a collection of 21 current, peer-reviewed articles on shear physics at the meso-scale in earthquake and landslide mechanics, authored by leading international experts in the field. Contributions are grouped in 5 chapters, discussing (1) the dynamics of frictional slip, (2) fault gauge mechanics, (3) experimental fault zone mechanics, (4) granular shear and liquefaction, and (5) landslides' dynamics. This research area has broad applications to the fields of earth sciences and geoengineering, with immediate bearing on our understanding of both earthquake and landslide mechanics, two geological processes that pose great risk to man kind worldwide.

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.

This textbook explores the theory of Cosserat continuum mechanics, and covers fundamental tools, general laws and major models, as well as applications to the mechanics of granular media. While classical continuum mechanics is based on the axiom that the stress tensor is symmetric, theories such as that expressed in the seminal work of the brothers Eugene and Francois Cosserat are characterized by a non-symmetric stress tensor. The use of von Mises motor mechanics is introduced, for the compact mathematical description of the mechanics and statics of Cosserat continua, as the Cosserat continuum is a manifold of oriented "rigid particles" with 3 dofs of displacement and 3 dofs of rotation, rather than a manifold of points with 3 dofs of displacement. Here, the analysis is restricted to infinitesimal particle displacements and rotations. This book is intended as a valuable supplement to standard Continuum Mechanics courses, and graduate students as well as researchers in mechanics and applied mathematics will benefit from its self-contained text, which is enriched by numerous examples and exercises.