Hamilton's principle in continuum mechanics / Anthony Bedford.

This revised, updated edition provides a comprehensive and rigorous description of the application of Hamiltons 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 pedagog...

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Bibliographic Details
Main Author: Bedford, Anthony (Author)
Format: eBook
Language:English
Published: Cham : Springer, [2021]
Edition:[Revised, updated edition].
Subjects:
Online Access:Click for online access

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100 1 |a Bedford, Anthony,  |e author. 
245 1 0 |a Hamilton's principle in continuum mechanics /  |c Anthony Bedford. 
250 |a [Revised, updated edition]. 
264 1 |a Cham :  |b Springer,  |c [2021] 
264 4 |c ©2021 
300 |a 1 online resource (114 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references and index. 
520 |a This revised, updated edition provides a comprehensive and rigorous description of the application of Hamiltons 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 Hamiltons 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 Hamiltons 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. 
505 0 |a Mechanics of Systems of Particles -- Mathematical Preliminaries -- Mechanics of Continuous Media -- Motions and Comparison Motions of a Mixture -- Singular Surfaces -- Index. 
588 |a Description based upon print version of record. 
600 1 0 |a Hamilton, William Rowan,  |c Sir,  |d 1805-1865. 
600 1 7 |a Hamilton, William Rowan,  |c Sir,  |d 1805-1865  |2 fast  |1 https://id.oclc.org/worldcat/entity/E39PBJfrT8RXMbhrf6XHtYgxjC 
650 0 |a Continuum mechanics. 
650 7 |a Continuum mechanics  |2 fast 
776 0 8 |i Print version:  |a Bedford, Anthony  |t Hamilton's Principle in Continuum Mechanics  |d Cham : Springer International Publishing AG,c2022  |z 9783030903053 
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