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Cover: 9783319951553 | Cosserat Continuum Mechanics | With Applications to Granular Media
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Cosserat Continuum Mechanics
With Applications to Granular Media
Buch von Ioannis Vardoulakis
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

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.

Zusammenfassung

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

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2018
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 192
Reihe: Lecture Notes in Applied and Computational Mechanics
Inhalt: ix
179 S.
25 s/w Illustr.
43 farbige Illustr.
179 p. 68 illus.
43 illus. in color.
ISBN-13: 9783319951553
ISBN-10: 3319951556
Sprache: Englisch
Herstellernummer: 978-3-319-95155-3
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Vardoulakis (Deceased), Ioannis
Auflage: 1st ed. 2019
Hersteller: Springer International Publishing
Springer International Publishing AG
Lecture Notes in Applied and Computational Mechanics
Maße: 241 x 160 x 17 mm
Von/Mit: Ioannis Vardoulakis
Erscheinungsdatum: 03.08.2018
Gewicht: 0,459 kg
preigu-id: 113854755
Über den Autor

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.

Zusammenfassung

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

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2018
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 192
Reihe: Lecture Notes in Applied and Computational Mechanics
Inhalt: ix
179 S.
25 s/w Illustr.
43 farbige Illustr.
179 p. 68 illus.
43 illus. in color.
ISBN-13: 9783319951553
ISBN-10: 3319951556
Sprache: Englisch
Herstellernummer: 978-3-319-95155-3
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Vardoulakis (Deceased), Ioannis
Auflage: 1st ed. 2019
Hersteller: Springer International Publishing
Springer International Publishing AG
Lecture Notes in Applied and Computational Mechanics
Maße: 241 x 160 x 17 mm
Von/Mit: Ioannis Vardoulakis
Erscheinungsdatum: 03.08.2018
Gewicht: 0,459 kg
preigu-id: 113854755
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