|
|
|
|
| LEADER |
02600nmm a2200385 u 4500 |
| 001 |
EB002008383 |
| 003 |
EBX01000000000000001171283 |
| 005 |
00000000000000.0 |
| 007 |
cr||||||||||||||||||||| |
| 008 |
220104 ||| eng |
| 020 |
|
|
|a 9783030903060
|
| 100 |
1 |
|
|a Bedford, Anthony
|
| 245 |
0 |
0 |
|a Hamilton’s Principle in Continuum Mechanics
|h Elektronische Ressource
|c by Anthony Bedford
|
| 250 |
|
|
|a 1st ed. 2021
|
| 260 |
|
|
|a Cham
|b Springer International Publishing
|c 2021, 2021
|
| 300 |
|
|
|a XIV, 104 p. 16 illus
|b online resource
|
| 505 |
0 |
|
|a Mechanics of Systems of Particles -- Mathematical Preliminaries -- Mechanics of Continuous Media -- Motions and Comparison Motions of a Mixture -- Singular Surfaces -- Index
|
| 653 |
|
|
|a Mechanics, Applied
|
| 653 |
|
|
|a Classical and Continuum Physics
|
| 653 |
|
|
|a Continuum mechanics
|
| 653 |
|
|
|a Calculus of Variations and Optimization
|
| 653 |
|
|
|a Engineering Mechanics
|
| 653 |
|
|
|a Mathematical Physics
|
| 653 |
|
|
|a Algebra
|
| 653 |
|
|
|a Mathematical physics
|
| 653 |
|
|
|a Physics
|
| 653 |
|
|
|a Continuum Mechanics
|
| 653 |
|
|
|a Mathematical optimization
|
| 653 |
|
|
|a Calculus of variations
|
| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
|
| 989 |
|
|
|b Springer
|a Springer eBooks 2005-
|
| 028 |
5 |
0 |
|a 10.1007/978-3-030-90306-0
|
| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-030-90306-0?nosfx=y
|x Verlag
|3 Volltext
|
| 082 |
0 |
|
|a 531.7
|
| 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
|