Edge Contact Forces and Quasi-Balanced Power |
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Authors: | DELL‘ISOLA F SEPPECHER P |
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Institution: | (1) Dipartimento di Ingeneria Strutturale e Geotecnica, Università di Roma La Sapienza, Via Eudossiana 18, 00184 Roma, Italy;(2) Laboratoire d Analyse Non Linéaire Appliquée, Université de Toulon et du Var, 83957 La Grade Cedex, France |
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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. |
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Keywords: | Contact force Edge force Interstitial working Continuum mechanics |
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