Foundations of Geometric Continuum Mechanics

Geometry and Duality in Continuum Mechanics de

Éditeur :

Birkhäuser


Paru le : 2023-10-31

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Description

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.
Pages
411 pages
Collection
n.c
Parution
2023-10-31
Marque
Birkhäuser
EAN papier
9783031356544
EAN PDF
9783031356551

Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
41
Taille du fichier
11674 Ko
Prix
168,79 €
EAN EPUB
9783031356551

Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
41
Taille du fichier
32092 Ko
Prix
168,79 €

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