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Advances in Continuum Mechanics

Geometric Continuum Mechanics

Editors: Segev, Reuven, Epstein, Marcelo (Eds.)

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  • 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
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eBook $89.00
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  • ISBN 978-3-030-42683-5
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About this book

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.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $89.00
price for Mexico
  • ISBN 978-3-030-42683-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for Mexico
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Continuum Mechanics
Editors
  • Reuven Segev
  • Marcelo Epstein
Series Title
Advances in Continuum Mechanics
Series Volume
42
Copyright
2020
Publisher
Birkhäuser Basel
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-42683-5
DOI
10.1007/978-3-030-42683-5
Hardcover ISBN
978-3-030-42682-8
Series ISSN
2524-4639
Edition Number
1
Number of Pages
VII, 416
Number of Illustrations
47 b/w illustrations, 28 illustrations in colour
Topics