2MSME - Laboratoire de Modélisation et Simulation Multi Echelle (Université Paris-Est, 5 Bd Descartes, 77454 Marne-la-Vallée, Cedex 2
Université Paris-Est Créteil Val de Marne (UPEC) Faculté des Sciences et Technologie - Equipe de Biomécanique
61 avenue du général de Gaulle 94010 Créteil Cedex - France)
Abstract : Degenerate scales appear when certain plane boundary value problems solved using Boundary Integral Equations do not have a unique solution. The main contribution of this paper is to prove four inequalities that constrain the degenerate scales for plane elasticity. These results are based on a new variational formulation. It is shown that the degenerate scales depend only on Poisson’s ratio. The bounds on the degenerate scales for plane elasticity in a given boundary are obtained mainly from the degenerate scales obtained from the Laplace equation for the same boundary, which are well documented.
https://hal-enpc.archives-ouvertes.fr/hal-01157344 Contributeur : Frédérique BordignonConnectez-vous pour contacter le contributeur Soumis le : mardi 30 juin 2015 - 12:44:38 Dernière modification le : jeudi 14 avril 2022 - 11:32:02 Archivage à long terme le : : mercredi 16 septembre 2015 - 06:32:03