Lecture Notes in Applied and Computational Mechanics

Cosserat Continuum Mechanics

With Applications to Granular Media

Authors: Vardoulakis (Deceased), Ioannis

  • 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
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eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-319-95156-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.99
price for USA in USD
  • ISBN 978-3-319-95155-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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

About the authors

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 (9 chapters)

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-319-95156-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.99
price for USA in USD
  • ISBN 978-3-319-95155-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Cosserat Continuum Mechanics
Book Subtitle
With Applications to Granular Media
Authors
Series Title
Lecture Notes in Applied and Computational Mechanics
Series Volume
87
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-95156-0
DOI
10.1007/978-3-319-95156-0
Hardcover ISBN
978-3-319-95155-3
Series ISSN
1613-7736
Edition Number
1
Number of Pages
IX, 179
Number of Illustrations and Tables
25 b/w illustrations, 43 illustrations in colour
Topics