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Author:   Reuven Segev
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Volume:   49
ISBN:  

9783031356575

ISBN 10:   3031356578
Pages:   411
Publication Date:   01 November 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

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.

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Author Information

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.

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