HAL : hal-00495800, version 1

DOI : 10.1007/s00161-010-0176-3

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Continuum Mechanics and Thermodynamics (2010) 1-6

Commentary about the paper " Hypertractions and hyperstresses convey the same mechanical information Continuum Mech. Thermodyn. (2010) 22:163–176 " by Prof. Podio Guidugli and Prof. Vianello and some related papers on higher gradient theories

Francesco Dell'Isola (  Auteur correspondant ) 1, 2, Pierre Seppecher 3

(2010)

In this commentary we try to make clearer the state of the art concerning the relation between mechanical contact interactions and the different notions of stresses. We emphasize the importance of the concept of virtual displacements. Its role has been recognized in Mechanics and in Continuum Mechanics long ago (see e.g. [59], [45], or [12], [13]) and it is central as well when starting with an expression of the power expended by internal stresses and deducing the form of contact interactions as when starting with some form of the contact interactions and developping a representa- tion theorem for these contact interactions based on the Cauchy tetrahedron construction.

1 :	Dipartimento di Ingegneria Strutturale e Geotecnica
	Universita di Roma "La Sapienza"
2 :	Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita
	Cisterna di Latina
3 :	Institut de Mathématiques de Toulon U.F.R. des Sciences et Techniques
	Université Sud Toulon Var

Domaine

:

Sciences de l'ingénieur/Mécanique

hal-00495800, version 1

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Contributeur : Francesco Dell'Isola <>

Soumis le : Mardi 29 Juin 2010, 08:52:02

Dernière modification le : Lundi 20 Juin 2011, 12:53:34