Editors:
- Explores the mathematical foundations of continuum mechanics with a particular focus on geometric methods
- Introduces applications of global analysis, algebraic topology, algebroids, groupoids, and geometric measure theory to continuum mechanics
- Includes chapters written by authors who are experts in their respective areas, providing important insights from recent research
Part of the book series: Advances in Mechanics and Mathematics (AMMA, volume 43)
Part of the book sub series: Advances in Continuum Mechanics (ACM)
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Table of contents (10 chapters)
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Front Matter
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Kinematics, Forces and Stress Theory
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Front Matter
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Defects, Uniformity and Homogeneity
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Front Matter
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About this book
- 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.
Keywords
Editors and Affiliations
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Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel
Reuven Segev
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Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, Canada
Marcelo Epstein
Bibliographic Information
Book Title: Geometric Continuum Mechanics
Editors: Reuven Segev, Marcelo Epstein
Series Title: Advances in Mechanics and Mathematics
DOI: https://doi.org/10.1007/978-3-030-42683-5
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-42682-8Published: 14 May 2020
Softcover ISBN: 978-3-030-42685-9Published: 14 May 2021
eBook ISBN: 978-3-030-42683-5Published: 13 May 2020
Series ISSN: 1571-8689
Series E-ISSN: 1876-9896
Edition Number: 1
Number of Pages: VII, 416
Number of Illustrations: 47 b/w illustrations, 28 illustrations in colour
Topics: Differential Geometry, Global Analysis and Analysis on Manifolds, Theoretical and Applied Mechanics, Classical and Continuum Physics, Mathematical Applications in the Physical Sciences