home libri books Fumetti ebook dvd top ten sconti 0 Carrello

Torna Indietro

segev reuven - foundations of geometric continuum mechanics

Foundations of Geometric Continuum Mechanics Geometry and Duality in Continuum Mechanics

Disponibilità: Normalmente disponibile in 15 giorni

173,98 €
165,28 €

Questo prodotto usufruisce delle SPEDIZIONI GRATIS
selezionando l'opzione Corriere Veloce in fase di ordine.

Pagabile anche con Carta della cultura giovani e del merito, 18App Bonus Cultura e Carta del Docente

Facebook Twitter Aggiungi commento

Spese Gratis


Lingua: Inglese


Pubblicazione: 11/2023
Edizione: 1st ed. 2023


This monograph presents the geometric foundations of continuum mechanics. An emphasis is placed on increasing the generality and elegance of the theory by scrutinizing the relationship between the physical aspects and the mathematical notions used in its formulation. The theory of uniform fluxes in affine spaces is covered first, followed by the smooth theory on differentiable manifolds, and ends with the non-smooth global theory. Because continuum mechanics provides the theoretical foundations for disciplines like fluid dynamics and stress analysis, the author’s extension of the theory will enable researchers to better describe the mechanics of modern materials and biological tissues. The global approach to continuum mechanics also enables the formulation and solutions of  practical optimization problems.

Foundations of Geometric Continuum Mechanics will be an invaluable resource for researchers in the area, particularly mathematicians, physicists, and engineers interested in the foundational notions of continuum mechanics.


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.


Reuven Segev is the H. Greenhill Chair Professor of Theoretical and Applied Mechanics at the Department of Mechanical Engineering at Ben-Gurion University, Beer-Sheva, Israel. His research focuses on the applications of geometrical and analytical methods in mechanics in general and the mechanics of continuous media, in particular. He also serves as the President of the Israeli Society for Theoretical and Applied Mechanics, and is on the editorial board of the Journal of Geometric Mechanics.

Altre Informazioni



Condizione: Nuovo
Collana: Advances in Mechanics and Mathematics
Dimensioni: 235 x 155 mm Ø 805 gr
Formato: Copertina rigida
Illustration Notes:XVI, 411 p. 117 illus., 17 illus. in color.
Pagine Arabe: 411
Pagine Romane: xvi

Dicono di noi