Geometric Continuum Mechanics

Language: English

Published by Springer Nature Switzerland AG, CH, 2021

3030426858 / 9783030426859

Series: Book 37 of 38 - Advances in Mechanics and Mathematics

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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 theoriesApplications of de Rham currents to singular dislocationsManifolds of mappings for continuum mechanicsKinematics of defects in solid crystalsGeometric 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.…

Seller Inventory # LU-9783030426859

Title
Geometric Continuum Mechanics
Author
Segev, Reuven
Publisher
Springer Nature Switzerland AG, CH
Publication year
2021
Condition
New
Binding
Paperback
Language
English
ISBN 10
3030426858
ISBN 13
9783030426859
Edition
1st ed. 2020.
Series
Book 37 of 38: Advances in Mechanics and Mathematics

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