Variational formulations of certain problems of the theory of the flow of rigid-plastic media
The mathematical content of variational problems of the mechanics of rigid-plastic media reduces to minimizing convex functionals in non- reflexive spaces of solenoidal vector fields. The problem is posed of constructing that extension of the original set of kinematically allowable velocity fields as would contain all their possible discontinuities allowed by the mechanics of rigidly plastic media, and of continuing the original functional into the extension obtained. This problem is solved in this paper for the case when the velocity field is given on the whole surface of the rigid-plastic body.
extension of the original set of kinematically allowable velocity
continuing the original functional into the extension
extension of the original set of kinematically allowable velocity fields
scientific article; zbMATH DE number 3947725