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Hamilton’s Principle in Continuum Mechanics

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Hamilton’s Principle in Continuum Mechanics/ by Anthony Bedford.
作者:	Bedford, Anthony.
面頁冊數:	XIV, 104 p. 16 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical Physics. -
電子資源:	https://doi.org/10.1007/978-3-030-90306-0
ISBN:	9783030903060

Hamilton’s Principle in Continuum Mechanics
Bedford, Anthony.

Hamilton’s Principle in Continuum Mechanics[electronic resource] /by Anthony Bedford. - 1st ed. 2021. - XIV, 104 p. 16 illus.online resource.

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--Topical Terms:

786661
Mathematical Physics.

LC Class. No.: QC6.4.C6

Dewey Class. No.: 531

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