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Cosserat Continuum Mechanics

- With Applications to Granular Media
Af: Ioannis Vardoulakis Engelsk Hardback

Cosserat Continuum Mechanics

- With Applications to Granular Media
Af: Ioannis Vardoulakis Engelsk Hardback
Tjek vores konkurrenters priser

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.    

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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.    

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 179
ISBN-13: 9783319951553
Indbinding: Hardback
Udgave:
ISBN-10: 3319951556
Kategori: Kondenserede fasers fysik: væskeform og faststoffysik
Udg. Dato: 3 aug 2018
Længde: 16mm
Bredde: 242mm
Højde: 164mm
Forlag: Springer International Publishing AG
Oplagsdato: 3 aug 2018
Forfatter(e): Ioannis Vardoulakis
Forfatter(e) Ioannis Vardoulakis

Kategori Kondenserede fasers fysik: væskeform og faststoffysik

ISBN-13 9783319951553

Sprog Engelsk

Indbinding Hardback

Sider 179

Udgave

Længde 16mm

Bredde 242mm

Højde 164mm

Udg. Dato 3 aug 2018

Oplagsdato 3 aug 2018

Forlag Springer International Publishing AG

Kategori sammenhænge