Geometric Continuum Mechanics (Paperback, 1st ed. 2020)

This contributed volume explores the applications of various topics in modern differential geometry to the foundations of continuum mechanics. In particular, the contributors use notions from areas such as global analysis, algebraic topology, and geometric measure theory. Chapter authors are experts in their respective areas, and provide important insights from the most recent research. Organized into two parts, the book first covers kinematics, forces, and stress theory, and then addresses defects, uniformity, and homogeneity. Specific topics covered include: Global stress and hyper-stress theories Applications of de Rham currents to singular dislocations Manifolds of mappings for continuum mechanics Kinematics of defects in solid crystals Geometric Continuum Mechanics will appeal to graduate students and researchers in the fields of mechanics, physics, and engineering who seek a more rigorous mathematical understanding of the area. Mathematicians interested in applications of analysis and geometry will also find the topics covered here of interest.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Advances in Continuum Mechanics, 43
Release date:	May 2021
First published:	2020
Editors:	Reuven Segev • Marcelo Epstein
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	416
Edition:	1st ed. 2020
ISBN-13:	978-3-03-042685-9
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling Books > Science & Mathematics > Physics > Classical mechanics > General Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > General
LSN:	3-03-042685-8
Barcode:	9783030426859

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