Overview
- Devoted to fundamental questions on the foundations of continuum mechanics
- Presents application of the fundamental concepts of continuum mechanics to beam theories
- All classical beam theories, where the cross sections remain rigid and plain, are presented
- Augmented beam theories, where cross section deformation is allowed, are derived as well
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Applied and Computational Mechanics (LNACM, volume 75)
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Table of contents (9 chapters)
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Front Matter
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Geometric Continuum Mechanics
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Front Matter
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Back Matter
Keywords
About this book
This research monograph discusses novel approaches to geometric continuum mechanics and introduces beams as constraint continuous bodies. In the coordinate free and metric independent geometric formulation of continuum mechanics as well as for beam theories, the principle of virtual work serves as the fundamental principle of mechanics. Based on the perception of analytical mechanics that forces of a mechanical system are defined as dual quantities to the kinematical description, the virtual work approach is a systematic way to treat arbitrary mechanical systems. Whereas this methodology is very convenient to formulate induced beam theories, it is essential in geometric continuum mechanics when the assumptions on the physical space are relaxed and the space is modeled as a smooth manifold. The book addresses researcher and graduate students in engineering and mathematics interested in recent developments of a geometric formulation of continuum mechanics and a hierarchical development of induced beam theories.
Reviews
“This book presents elements of Geometric continuum Mechanics with application to rod theories. … the book may be used in courses to the advanced undergraduate students that already have knowledge about the classical beam theories. Also it will be useful to the graduate students of Mechanics and the researchers in Mechanics.” (Teodor Atanacković, zbMATH 1330.74002, 2016)
Authors and Affiliations
Bibliographic Information
Book Title: Geometric Continuum Mechanics and Induced Beam Theories
Authors: Simon R. Eugster
Series Title: Lecture Notes in Applied and Computational Mechanics
DOI: https://doi.org/10.1007/978-3-319-16495-3
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-16494-6Published: 31 March 2015
Softcover ISBN: 978-3-319-36851-1Published: 06 October 2016
eBook ISBN: 978-3-319-16495-3Published: 19 March 2015
Series ISSN: 1613-7736
Series E-ISSN: 1860-0816
Edition Number: 1
Number of Pages: IX, 146
Number of Illustrations: 12 b/w illustrations
Topics: Solid Mechanics, Classical and Continuum Physics, Solid Mechanics