Among the foundations of continuum mechanics is the description of constitutive forces in terms of a symmetric tensor. Noll showed that this is a consequence of the axiom of material frame indifference [Nol,Tru], what in turn means a local invariance of the system under the Euklidean group. Here we will prove that the assumption of locality in this axiom is redundant to obtain the same result. We model a non-local system by means of a virtual work [AnOs,EpSe]. Under the global demand that this functional does not respond on rigid infintesimal motions, we show the existance of a symmetric stress tensor as a local result. As the mathematical tool for the localization we use the Hodge theory on manifolds with boundary.
Dieser Eintrag ist Teil der Universitätsbibliographie.
Das Dokument wird vom Publikationsserver der Universitätsbibliothek Mannheim bereitgestellt.