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Lecture Notes in Applied and Computational Mechanics

Geometric Continuum Mechanics and Induced Beam Theories

Authors: Eugster, Simon

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  • 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
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eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-319-16495-3
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Hardcover $149.99
price for USA in USD
  • ISBN 978-3-319-16494-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: November 18, 2016
  • ISBN 978-3-319-36851-1
  • Free shipping for individuals worldwide
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)


Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-319-16495-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-319-16494-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: November 18, 2016
  • ISBN 978-3-319-36851-1
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Continuum Mechanics and Induced Beam Theories
Authors
Series Title
Lecture Notes in Applied and Computational Mechanics
Series Volume
75
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-16495-3
DOI
10.1007/978-3-319-16495-3
Hardcover ISBN
978-3-319-16494-6
Softcover ISBN
978-3-319-36851-1
Series ISSN
1613-7736
Edition Number
1
Number of Pages
IX, 146
Number of Illustrations
12 b/w illustrations
Topics