Overview
- 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
- Discusses foundations of continuum mechanics and variational methods therein in the context of linear vector spaces
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (5 chapters)
Keywords
About this book
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.
Authors and Affiliations
About the author
Dr. Anthony Bedford is Professor Emeritus in the Department of Aerospace Engineering and Engineering Mechanics at The University of Texas at Austin, USA.
Bibliographic Information
Book Title: Hamilton’s Principle in Continuum Mechanics
Authors: Anthony Bedford
DOI: https://doi.org/10.1007/978-3-030-90306-0
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-90305-3Published: 15 December 2021
Softcover ISBN: 978-3-030-90308-4Published: 16 December 2022
eBook ISBN: 978-3-030-90306-0Published: 14 December 2021
Edition Number: 1
Number of Pages: XIV, 104
Number of Illustrations: 16 b/w illustrations
Topics: Classical and Continuum Physics, Optimization, Algebra, Mechanical Engineering, Mathematical Physics