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.
General
Imprint: |
Springer International Publishing AG
|
Country of origin: |
Switzerland |
Series: |
Lecture Notes in Applied and Computational Mechanics, 75 |
Release date: |
March 2015 |
First published: |
2015 |
Authors: |
Simon R. Eugster
|
Dimensions: |
235 x 155 x 11mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
146 |
Edition: |
2015 ed. |
ISBN-13: |
978-3-319-16494-6 |
Categories: |
Books >
Science & Mathematics >
Physics >
Classical mechanics >
General
|
LSN: |
3-319-16494-5 |
Barcode: |
9783319164946 |
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