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Lecture Notes in Applied and Computational Mechanics

Cosserat Continuum Mechanics

With Applications to Granular Media

Authors: Vardoulakis (Deceased), Ioannis

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  • 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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イーブック ¥6,738
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-95156-0
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: EPUB, PDF
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ハードカバー ¥8,423
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-95155-3
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
ソフトカバー ¥8,423
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-06986-5
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
この教本について

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.    

著者について

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)

Table of contents (9 chapters)

書籍の購入

イーブック ¥6,738
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-95156-0
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: EPUB, PDF
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ハードカバー ¥8,423
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-319-95155-3
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
ソフトカバー ¥8,423
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-06986-5
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
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書誌情報

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
イーブック ISBN
978-3-319-95156-0
DOI
10.1007/978-3-319-95156-0
ハードカバー ISBN
978-3-319-95155-3
ソフトカバー ISBN
978-3-030-06986-5
Series ISSN
1613-7736
Edition Number
1
Number of Pages
IX, 179
Number of Illustrations
25 b/w illustrations, 43 illustrations in colour
Topics