Overview
- English Edition by Eleni Gerolymatou, Jean Sulem, Ioannis Stefanou and Manolis Veveakis
- Includes numerous examples, exercises at the end of each chapter, and practical applications
- Modern, comprehensive presentation of the entire field of Cosserat theory and continuum mechanics
- Covers fundamental tools, general laws and major models
Part of the book series: Lecture Notes in Applied and Computational Mechanics (LNACM, volume 87)
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Table of contents (9 chapters)
Keywords
About this book
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.
Authors and Affiliations
About the author
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.
Bibliographic Information
Book Title: Cosserat Continuum Mechanics
Book Subtitle: With Applications to Granular Media
Authors: Ioannis Vardoulakis
Series Title: Lecture Notes in Applied and Computational Mechanics
DOI: https://doi.org/10.1007/978-3-319-95156-0
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2019
Hardcover ISBN: 978-3-319-95155-3Published: 03 August 2018
Softcover ISBN: 978-3-030-06986-5Published: 12 January 2019
eBook ISBN: 978-3-319-95156-0Published: 01 August 2018
Series ISSN: 1613-7736
Series E-ISSN: 1860-0816
Edition Number: 1
Number of Pages: IX, 179
Number of Illustrations: 25 b/w illustrations, 43 illustrations in colour
Topics: Solid Mechanics, Geoengineering, Foundations, Hydraulics, Soft and Granular Matter, Complex Fluids and Microfluidics