A variational theory for finite-step elasto-plastic problems
type: Item
instance of: scholarly article
title: A variational theory for finite-step elasto-plastic problems
zbMATH Open document ID: 0781.73081
DOI: 10.1016/0020-7683(93)90120-V
published in: International Journal of Solids and Structures
publication date: 1994-01-06T00:00:00Z
review text: An extended version of generalized standard elasto-plastic material is considered in the framework of an internal variable theory of associated plasticity. According to a backward difference scheme for time integration of the flow rule, a finite-step structural problem is formulated in a geometrically linear range. Convex analysis and a brand new potential theory for monotone multivalued operators are shown to provide the natural mathematical setting for the derivation of the related variational formulation. A general stationarity principle is obtained and then specialized to obtain a minimum principle in terms of displacements, plastic strains and internal variables.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 473170
zbMATH Keywords: generalized standard elasto-plastic material
zbMATH Keywords: internal variable theory
zbMATH Keywords: associated plasticity
zbMATH Keywords: backward difference scheme
zbMATH Keywords: convex analysis
zbMATH Keywords: potential theory
zbMATH Keywords: monotone multivalued operators
zbMATH Keywords: general stationarity principle
zbMATH Keywords: minimum principle
author: Giovanni Romano
author: L. Rosati
author: F. Marotti de Sciarra
MaRDI profile type: Publication
full work available at URL: 0020-7683(93)90120-v
OpenAlex ID: W1976690415
description: scientific article; zbMATH DE number 473170