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Edge Contact Forces and Quasi-Balanced Power
Authors:DELL‘ISOLA  F  SEPPECHER  P
Institution:(1) Dipartimento di Ingeneria Strutturale e Geotecnica, Università di Roma La Sapienza, Via Eudossiana 18, 00184 Roma, Italy;(2) Laboratoire dlsquoAnalyse Non Linéaire Appliquée, Université de Toulon et du Var, 83957 La Grade Cedex, France
Abstract:We consider continuous media in which contact edge forces are present. Introducing thenotion of quasi-balanced contact force distribution, we are able to prove the conjectures by Noll andVirga 1] concerning the representation of contact edge forces. We generalize the Hamel--Nolltheorem on the Cauchy postulate. Then we adapt the celebrated tetrahedron construction of Cauchy in orderto obtain a representation theorem for stress states. In fact, we show that two stress tensors of order twoand three are necessary for such a representation. Moreover we find the relationship between the notionof interstitial working introduced by Dunn and Serrin 2] and the notion of contact edge force.
Keywords:Contact force  Edge force  Interstitial working  Continuum mechanics  
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