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Hamilton¿s Principle in Continuum Mechanics
Buch von Anthony Bedford
Sprache: Englisch

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Beschreibung
This revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton¿s principle to continuous media. To introduce terminology and initial concepts, it begins with what is called the first problem of the calculus of variations. For both historical and pedagogical reasons, it first discusses the application of the principle to systems of particles, including conservative and non-conservative systems and systems with constraints. The foundations of mechanics of continua are introduced in the context of inner product spaces. With this basis, the application of Hamilton¿s principle to the classical theories of fluid and solid mechanics are covered. Then recent developments are described, including materials with microstructure, mixtures, and continua with singular surfaces.
This revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton¿s principle to continuous media. To introduce terminology and initial concepts, it begins with what is called the first problem of the calculus of variations. For both historical and pedagogical reasons, it first discusses the application of the principle to systems of particles, including conservative and non-conservative systems and systems with constraints. The foundations of mechanics of continua are introduced in the context of inner product spaces. With this basis, the application of Hamilton¿s principle to the classical theories of fluid and solid mechanics are covered. Then recent developments are described, including materials with microstructure, mixtures, and continua with singular surfaces.
Über den Autor

Dr. Anthony Bedford is Professor Emeritus in the Department of Aerospace Engineering and Engineering Mechanics at The University of Texas at Austin, USA.

Zusammenfassung

¿Presents a comprehensive, rigorous description of the application of Hamilton's principle to continuous media

Includes recent applications of the principle to continua with microstructure

Discusses foundations of continuum mechanics and variational methods therein in the context of linear vector spaces

Inhaltsverzeichnis
Mechanics of Systems of Particles .- Mathematical Preliminaries.- Mechanics of Continuous Media.- Motions and Comparison Motions of a Mixture.- Singular Surfaces.- Index.
Details
Erscheinungsjahr: 2021
Fachbereich: Mechanik & Akustik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xiv
104 S.
16 s/w Illustr.
104 p. 16 illus.
ISBN-13: 9783030903053
ISBN-10: 3030903052
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Bedford, Anthony
Auflage: 1st ed. 2021
Hersteller: Springer International Publishing
Springer International Publishing AG
Maße: 241 x 160 x 13 mm
Von/Mit: Anthony Bedford
Erscheinungsdatum: 15.12.2021
Gewicht: 0,354 kg
Artikel-ID: 120645691
Über den Autor

Dr. Anthony Bedford is Professor Emeritus in the Department of Aerospace Engineering and Engineering Mechanics at The University of Texas at Austin, USA.

Zusammenfassung

¿Presents a comprehensive, rigorous description of the application of Hamilton's principle to continuous media

Includes recent applications of the principle to continua with microstructure

Discusses foundations of continuum mechanics and variational methods therein in the context of linear vector spaces

Inhaltsverzeichnis
Mechanics of Systems of Particles .- Mathematical Preliminaries.- Mechanics of Continuous Media.- Motions and Comparison Motions of a Mixture.- Singular Surfaces.- Index.
Details
Erscheinungsjahr: 2021
Fachbereich: Mechanik & Akustik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xiv
104 S.
16 s/w Illustr.
104 p. 16 illus.
ISBN-13: 9783030903053
ISBN-10: 3030903052
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Bedford, Anthony
Auflage: 1st ed. 2021
Hersteller: Springer International Publishing
Springer International Publishing AG
Maße: 241 x 160 x 13 mm
Von/Mit: Anthony Bedford
Erscheinungsdatum: 15.12.2021
Gewicht: 0,354 kg
Artikel-ID: 120645691
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