Cosserat Continuum Mechanics

With Applications to Granular Media
Softcover Nachdruck of the original 1. Auflage 2019
ISBN: 978-3-030-06986-5
Verlag: Springer International Publishing

Buch, Englisch, 179 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 300 g

Reihe: Lecture Notes in Applied and Computational Mechanics

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 Eugène and François 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 andapplied mathematics will benefit from its self-contained text, which is enriched by numerous examples and exercises.    

Zielgruppe

Graduate

Autoren/Hrsg.

Vardoulakis (Deceased), Ioannis

Fachgebiete

• Technische Wissenschaften Bauingenieurwesen Boden- und Felsmechanik, Geotechnik
• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre

Inhaltsverzeichnis

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.

Über Autor(innen)

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.