Variational formulations of certain problems of the theory of the flow of rigid-plastic media
type: Item
instance of: scholarly article
title: Variational formulations of certain problems of the theory of the flow of rigid-plastic media
zbMATH Open document ID: 0589.73034
DOI: 10.1016/0021-8928(84)90041-8
published in: Journal of Applied Mathematics and Mechanics
publication date: 1984-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 3947725
zbMATH Keywords: rigid-plastic media
zbMATH Keywords: minimizing convex functionals
zbMATH Keywords: non-reflexive spaces
zbMATH Keywords: solenoidal vector fields
zbMATH Keywords: extension of the original set of kinematically allowable velocity
zbMATH Keywords: fields
zbMATH Keywords: discontinuities
zbMATH Keywords: continuing the original functional into the extension
zbMATH Keywords: extension of the original set of kinematically allowable velocity fields
author: G. Seregin
MaRDI profile type: Publication
full work available at URL: 0021-8928(84)90041-8
OpenAlex ID: W2062759517
cites work: Q3343496
cites work: Q4115554
description: scientific article; zbMATH DE number 3947725