Cosserat Continuum Mechanics: With Applications to Granular Media (Lecture Notes in Applied and Computational Mechanics)

Author: Ioannis Vardoulakis
Publisher: Springer
Category: Classical Mechanics, Fluid Mechanics, States Of Matter, Condensed Matter Physics (liquid State & Solid State Physics), Meteorology & Climatology, Mechanical Engineering, Mechanics Of Solids
Book Format: Hardcover

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.

Author Biography

Ioannis Vardoulakis was full professor at National Technical University of Athens (NTUA), Greece. He is known for his major contributions in the modeling of geomaterials, geo-hazards and geotechnical processes. He was also the pioneer of the bifurcation theory of geomechanics, which has led to a better understanding of the long-standing problem of mesh-dependency in the Finite Element Modeling and strain localization.

Table Of Contents
Introduction.- Rigid-body mechanics and motors.- Cosserat continuum kinematics.- Cosserat continuum statics.- Cosserat continuum dynamics.- Cosserat continuum energetics.- Cosserat-elastic bodies.- Cosserat fluids.- Mechanics of discrete granular media.
About Ioannis Vardoulakis (Deceased)
Ioannis Vardoulakis was full professor at National Technical University of Athens (NTUA), Greece. He is known for his major contributions in the modeling of geomaterials, geo-hazards and geotechnical processes. He was also the pioneer of the bifurcation theory of geomechanics, which has led to a better understanding of the long-standing problem of mesh-dependency in the Finite Element Modeling and strain localization.

(BK-9783319951553)

SKU BK-9783319951553
Barcode # 9783319951553
Brand Springer
Artist / Author Ioannis Vardoulakis
Shipping Weight 0.5000kg
Shipping Width 0.250m
Shipping Height 0.017m
Shipping Length 2.200m
Assembled Length 1.650m
Assembled Height 25.000m
Assembled Width 220.000m
Type Hardcover

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