| Autore |
Segev Reuven
|
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa |
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023
|
| Descrizione fisica |
1 online resource (410 pages)
|
| Disciplina |
531.7
|
| Collana |
Advances in Continuum Mechanics
|
| Soggetto topico |
Geometry, Differential
Continuum mechanics
Differential Geometry
Continuum Mechanics
Mecànica dels medis continus
Matemàtica
|
| Soggetto genere / forma |
Llibres electrònics
|
| ISBN |
3-031-35655-1
|
| Formato |
Materiale a stampa  |
| Livello bibliografico |
Monografia |
| Lingua di pubblicazione |
eng
|
| Nota di contenuto |
1. Introduction -- 2. Prelude: Finite Dimensional Systems -- Part I Algebraic Theory: Uniform Fluxes -- 3. Simplices in Affine Spaces and Their Boundaries -- 4. Uniform Fluxes in Affine Spaces -- 5. From Uniform Fluxes to Exterior Algebra -- Part II: Smooth Theory -- 6. Smooth Analysis on Manifolds: A Short Review -- 7. Interlude: Smooth Distributions of Defects -- 8. Smooth Fluxes -- 9. Frames, Body Points, and Spacetime Structure -- 10. Stresses -- 11. Smooth Electromagnetism on Manifolds -- 12. The Elasticity Problem -- 13. Symmetry and Dynamics -- Part III Non-Smooth, Global Theories -- 14. Banachable Space of Sections of Vector Bundles over Compact Manifolds -- 15. Manifolds of Sections and Embeddings -- 16. The General Framework for Global Analytic Stress Theory -- 17. Dual Spaces Corresponding to Spaces of Differentiable Sections of a Vector Bundle: Localization of Sections and Functionals -- 18. de Rham Currents -- 19. Interlude: Singular Distributions of Defects in Bodies -- 20. Vector-Valued Currents -- 21. The Representation of Forces by Stresses and Hyperstresses -- 22. Simple Forces and Stresses -- 23. Whitney's Geometric Integration Theory and Non-Smooth Bodies -- 24. Optimal Fields and Load Capacity of Bodies -- Index.
|
| Record Nr. | UNINA-9910755074103321 |