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| HAL: hal-00630098, version 1 |
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| Linear elastic trusses leading to continua with exotic mechanical interactions |
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| Pierre Seppecher 1, 2, 3Jean-Jacques Alibert 2 |
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| (2011-10-07) |
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| 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. |
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| 1: | International Research Centre on "Mathematics & Mechanics of Complex Systems" M&MoCS |
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Cisterna di Latina |
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| 2: | Institut de Mathématiques de Toulon et du Var (IMATH) |
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Université Sud Toulon Var : EA2134 |
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| 3: | Laboratoire d'Analyse Non Linéaire Appliquée (ANLA) |
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Université Sud Toulon Var |
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| 4: | Dipartimento di Ingegneria Strutturale e Geotecnica |
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Universita di Roma "La Sapienza" |
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| 5: | Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita |
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Cisterna di Latina |
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| 6: | International Research Centre on "Mathematics & Mechanics of Complex Systems" M& MOCS |
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Cisterna di Latina |
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| Subject | : | Engineering Sciences/Mechanics |
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| Attached file list to this document: | |||||
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| hal-00630098, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00630098 | |
| oai:hal.archives-ouvertes.fr:hal-00630098 | |
| From: Francesco Dell'Isola | |
| Submitted on: Friday, 7 October 2011 11:54:42 | |
| Updated on: Friday, 7 October 2011 13:30:26 | |
