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Geometric Continuum Mechanics and Induced Beam Theories pdf

Geometric Continuum Mechanics and Induced Beam Theories pdf

Geometric Continuum Mechanics and Induced Beam Theories by Simon Eugster

Geometric Continuum Mechanics and Induced Beam Theories
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Author: Simon Eugster
Page Count: 155 pages
Published Date: 31 Mar 2015
Publisher: Springer International Publishing AG
Publication Country: Cham, Switzerland
Language: English
ISBN: 9783319164946
File size: 17 Mb
File Name: Geometric.Continuum.Mechanics.and.Induced.Beam.Theories.pdf
Download Link: Geometric Continuum Mechanics and Induced Beam Theories
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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.

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