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| HAL : hal-00494641, version 2 |
| Fiche détaillée |  Récupérer au format |
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| Meccanica (1997) 20 |
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| Versions disponibles : | v1 (24-06-2010) | v2 (23-07-2010) |
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| Edge Contact Forces and Quasi-Balanced Power |
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Francesco Dell'Isola 1, 2Pierre Seppecher 3 |
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| (1997) |
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| We consider continuous media in which contact edge forces are present. Introducing the notion of quasi-balanced contact force distribution, we are able to prove the conjectures by Noll and Virga [1] concerning the representation of contact edge forces. We generalize the Hamel–Noll theorem on the Cauchy postulate. Then we adapt the celebrated tetrahedron construction of Cauchy in order to obtain a representation theorem for stress states. In fact, we show that two stress tensors of order two and three are necessary for such a representation. Moreover we find the relationship between the notion of interstitial working introduced by Dunn and Serrin [2] and the notion of contact edge force |
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| 1 : | Dipartimento di Ingegneria Strutturale e Geotecnica |
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Universita di Roma "La Sapienza" |
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| 2 : | Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita |
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Cisterna di Latina |
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| 3 : | Institut de Mathématiques de Toulon U.F.R. des Sciences et Techniques |
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Université Sud Toulon Var |
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| Domaine | : | Sciences de l'ingénieur/Mécanique |
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| hal-00494641, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00494641 | |
| oai:hal.archives-ouvertes.fr:hal-00494641 | |
| Contributeur : Francesco Dell'Isola | |
| Soumis le : Vendredi 23 Juillet 2010, 13:55:42 | |
| Dernière modification le : Vendredi 23 Juillet 2010, 13:56:28 | |
