Name: Foundations of Geometric Continuum Mechanics. Geometry and Duality in Continuum Mechanics
Price: 178.05 USD
Availability: InStock
Author: Reuven Segev
ISBN: 9783031356575

portada Foundations of Geometric Continuum Mechanics. Geometry and Duality in Continuum Mechanics

Foundations of Geometric Continuum Mechanics. Geometry and Duality in Continuum Mechanics

Formato

Libro Físico

Editorial

Birkhauser Verlag AG

Autor

Reuven Segev

Colección

Advances in Mechanics and Mathematics

Año

2024

N° páginas

411

Encuadernación

Tapa Blanda

Dimensiones

23.50 x 15.50 cm

ISBN13

9783031356575

Foundations of Geometric Continuum Mechanics. Geometry and Duality in Continuum Mechanics

Reuven Segev (Autor) · Birkhauser Verlag AG · Tapa Blanda

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Reseña del libro "Foundations of Geometric Continuum Mechanics. Geometry and Duality in Continuum Mechanics"

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.