Non-convex energy functionals. Application to non-convex elastoplasticity
type: Item
instance of: scholarly article
title: Non-convex energy functionals. Application to non-convex elastoplasticity
zbMATH Open document ID: 0534.73015
DOI: 10.1016/0093-6413(82)90085-4
published in: Mechanics Research Communications
publication date: 1982-01-01T00:00:00Z
review text: In this paper we show that, if the elastic energy is not fully recovered after a loading cycle, it is possible to define a non-convex plastic potential (which generally may be non-differentiable). The developed theory allows for the consideration of non-convex yield functions. The variational formulations are not variational inequalities as in convex problems but they have more general forms, which we call ''hemi- variational'' inequalities.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 3848694
zbMATH Keywords: elastoplasticity
zbMATH Keywords: extension of Drucker's convexity
zbMATH Keywords: normality rules
zbMATH Keywords: hemi-variational inequalities
zbMATH Keywords: elastic energy
zbMATH Keywords: not fully recovered after a loading cycle
zbMATH Keywords: non-convex plastic potential
zbMATH Keywords: non-convex yield functions
author: Panagiotis D. Panagiotopoulos
MaRDI profile type: Publication
full work available at URL: 0093-6413(82)90085-4
OpenAlex ID: W1988844531
description: scientific article; zbMATH DE number 3848694