Hamilton’s Principle in Continuum Mechanics

Author:   Anthony Bedford
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
ISBN:  

9783030903053


Pages:   104
Publication Date:   15 December 2021
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Hamilton’s Principle in Continuum Mechanics


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Overview

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.

Full Product Details

Author:   Anthony Bedford
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
Weight:   0.354kg
ISBN:  

9783030903053


ISBN 10:   3030903052
Pages:   104
Publication Date:   15 December 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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

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

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