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Cosserat continuum mechanics = with ...

Vardoulakis, Ioannis.

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Cosserat continuum mechanics = with applications to granular media /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Cosserat continuum mechanics/ by Ioannis Vardoulakis.
其他題名:	with applications to granular media /
作者:	Vardoulakis, Ioannis.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	ix, 179 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
Subject:	Continuum mechanics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-95156-0
ISBN:	9783319951560

Cosserat continuum mechanics = with applications to granular media /
Vardoulakis, Ioannis.

Cosserat continuum mechanicswith applications to granular media /[electronic resource] :by Ioannis Vardoulakis. - Cham :Springer International Publishing :2019. - ix, 179 p. :ill., digital ;24 cm. - Lecture notes in applied and computational mechanics,v.871613-7736 ;. - Lecture notes in applied and computational mechanics ;v.87..

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.

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 Francois 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.

ISBN: 9783319951560

Standard No.: 10.1007/978-3-319-95156-0doiSubjects--Topical Terms:

535472
Continuum mechanics.

LC Class. No.: QA808.2

Dewey Class. No.: 530.14

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520 $a 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 Francois 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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