Edge Contact Forces and Quasi-Balanced Power

F.dell'Isola and P.Seppecher

 Abstract

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 by Noll and Virga [] concerning the representation of contact edge forces. We first generalise the Noll theorem on Cauchy postulate. Then we adapt the celebrated tetrahedron construction due to Cauchy in order to find a representation theorem for stress states. Indeed 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 [] and the notion of contact edge forces. 


To get a copy of this paper, please ask to seppecher@univ-tln.fr

BACK TO HOME PAGE