Geometric Continuum Mechanics and Induced Beam Theories

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Éditeur :

Springer


Collection :

Lecture Notes in Applied and Computational Mechanics

Paru le : 2015-03-19

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Description

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.
Pages
146 pages
Collection
Lecture Notes in Applied and Computational Mechanics
Parution
2015-03-19
Marque
Springer
EAN papier
9783319164946
EAN EPUB
9783319164953

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
14
Taille du fichier
2079 Ko
Prix
94,94 €