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Hamilton's principle in continuum me...

Bedford, A.

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Hamilton's principle in continuum mechanics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Hamilton's principle in continuum mechanics/ by Anthony Bedford.
Author:	Bedford, A.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xiv, 104 p. :ill., digital ;24 cm.
[NT 15003449]:	Mechanics of Systems of Particles -- Mathematical Preliminaries -- Mechanics of Continuous Media -- Motions and Comparison Motions of a Mixture -- Singular Surfaces -- Index.
Contained By:	Springer Nature eBook
Subject:	Continuum mechanics. -
Online resource:	https://doi.org/10.1007/978-3-030-90306-0
ISBN:	9783030903060

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

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

3538263
Hamilton, William Rowan,
Sir,1805-1865.Subjects--Topical Terms:

535472
Continuum mechanics.

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

Dewey Class. No.: 531

Hamilton's principle in continuum mechanics
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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 3538263
650 0 $a Continuum mechanics. $3 535472
650 1 4 $a Classical and Continuum Physics. $3 3218450
650 2 4 $a Optimization. $3 891104
650 2 4 $a Algebra. $3 516203
650 2 4 $a Mechanical Engineering. $3 891038
650 2 4 $a Mathematical Physics. $3 1542352
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856 4 0 $u https://doi.org/10.1007/978-3-030-90306-0
950 $a Physics and Astronomy (SpringerNature-11651)