| Description |
1 online resource (114 pages) : illustrations |
| Contents |
Mechanics of Systems of Particles -- Mathematical Preliminaries -- Mechanics of Continuous Media -- Motions and Comparison Motions of a Mixture -- Singular Surfaces -- Index |
| Summary |
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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Description based upon print version of record |
| Subject |
Hamilton, William Rowan, Sir, 1805-1865.
|
| SUBJECT |
Hamilton, William Rowan, Sir, 1805-1865 fast |
| Subject |
Continuum mechanics.
|
|
Continuum mechanics
|
| Form |
Electronic book
|
| ISBN |
9783030903060 |
|
3030903060 |
|
