Linear elastic trusses leading to continua with exotic mechanical interactions

We study the statics of some trusses, i.e. networks of nodes linked by linear springs. The trusses are designed in such a way that a few number of floppy modes are present and remain when considering the homogenized limit of the truss. We then obtain linear elastic materials with exotic mechanical i...

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Bibliographic Details
Published in:Journal of physics. Conference series 2011-01, Vol.319 (1), p.012018-13
Main Authors: Seppecher, Pierre, Alibert, Jean-Jacques, Isola, Francesco Dell
Format: Article
Language:English
Subjects:
Elastic limit
Engineering Sciences
Mechanics
Networks
Physics
Springs (elastic)
Stresses
Three dimensional
Trusses
Two dimensional
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Summary:We study the statics of some trusses, i.e. networks of nodes linked by linear springs. The trusses are designed in such a way that a few number of floppy modes are present and remain when considering the homogenized limit of the truss. We then obtain linear elastic materials with exotic mechanical interactions which cannot be described in the classical framework of Cauchy stress theory. For aim of simplicity, the structures described here are two-dimensional. The extension to the 3D case does not present any difficulty.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/319/1/012018