The relationship between edge contact forces, double forces and interstitial working allowed by the principle of virtual power

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

1 Dipartimento di Ingegneria Strutturale e Geotecnica
2 Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita
3 IMATH - Institut de Mathématiques de Toulon - EA 2134

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 made in [Noll, 1990] concerning the representation of contact edge forces. We first generalise the Noll theorem on Cauchy postulate. Then we adapt the celebrated Cauchy tetrahedron construction to find a representation theorem for stress states. Moreover we find the relationship between double forces Germain [Germain, 1973a,b], interstitial working [Dunn, 1985] and contact edge forces.

Domaines: Mécanique [physics.med-ph]

Francesco Dell'Isola, Pierre Seppecher. The relationship between edge contact forces, double forces and interstitial working allowed by the principle of virtual power. Comptes rendus de l’Académie des sciences. Série IIb, Mécanique, physique, astronomie, 1995, pp.7. ⟨hal-00494505⟩