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Hamilton's principle in continuum me...

Bedford, A.

Hamilton's principle in continuum mechanics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Hamilton's principle in continuum mechanicsby Anthony Bedford.
Author:	Bedford, A.
Published:	Cham :Springer International Publishing :2021.
Description:	xiv, 104 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Continuum mechanics.
Online resource:	https://doi.org/10.1007/978-3-030-90306-0
ISBN:	9783030903060$q(electronic bk.)

Hamilton's principle in continuum mechanics
Bedford, A.

Hamilton's principle in continuum mechanics[electronic resource] /by Anthony Bedford. - Cham :Springer International Publishing :2021. - xiv, 104 p. :ill., digital ;24 cm.

Mechanics of Systems of Particles -- Mathematical Preliminaries -- Mechanics of Continuous Media -- Motions and Comparison Motions of a Mixture -- Singular Surfaces -- Index.

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. 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, mixtures, and media with surfaces of discontinuity; Discusses foundations of continuum mechanics and variational methods therein in the context of linear vector spaces.

ISBN: 9783030903060$q(electronic bk.)

Standard No.: 10.1007/978-3-030-90306-0doiSubjects--Personal Names:

910958
Hamilton, William Rowan,
Sir,1805-1865.Subjects--Topical Terms:

190274
Continuum mechanics.

LC Class. No.: QA808.2 / .H36 2021

Dewey Class. No.: 531

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245 1 0 $a Hamilton's principle in continuum mechanics $h [electronic resource] / $c by Anthony Bedford.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xiv, 104 p. : $b ill., digital ; $c 24 cm.
505 0 $a Mechanics of Systems of Particles -- Mathematical Preliminaries -- Mechanics of Continuous Media -- Motions and Comparison Motions of a Mixture -- Singular Surfaces -- Index.
520 $a 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. 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, mixtures, and media with surfaces of discontinuity; Discusses foundations of continuum mechanics and variational methods therein in the context of linear vector spaces.
600 1 0 $a Hamilton, William Rowan, $c Sir, $d 1805-1865. $3 910958
650 0 $a Continuum mechanics. $3 190274
650 1 4 $a Classical and Continuum Physics. $3 771188
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650 2 4 $a Algebra. $3 188312
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650 2 4 $a Mathematical Physics. $3 522725
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950 $a Physics and Astronomy (SpringerNature-11651)