A convergent bounding principle for a class of elastoplastic strain- hardening solids
type: Item
instance of: scholarly article
title: A convergent bounding principle for a class of elastoplastic strain- hardening solids
zbMATH Open document ID: 0612.73035
DOI: 10.1016/0749-6419(86)90023-9
published in: International Journal of Plasticity
publication date: 1986-01-01T00:00:00Z
review text: For a class of elastoplastic solids exhibiting a mixed kinematic- isotropic behavior, a convergent bounding principle is presented. This principle, formulated by means of a suitable perturbation method, is able to provide upper bounds on different kinds of the actual plastic deformation induced by a specified load history. These bounds, expressed in terms of a ''fictitious solution,'' can be rendered as close to the actual deformations as desired, but at the cost of increasing computational efforts. A bounding principle for repeated loads and a shakedown theorem are also presented as special cases of the convergent bounding principle.
Mathematics Subject Classification ID: 74R20
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 3990982
zbMATH Keywords: elastoplastic solids
zbMATH Keywords: mixed kinematic-isotropic behavior
zbMATH Keywords: convergent bounding principle
zbMATH Keywords: perturbation method
zbMATH Keywords: upper bounds
zbMATH Keywords: plastic deformation
zbMATH Keywords: load history
zbMATH Keywords: repeated loads
zbMATH Keywords: shakedown theorem
author: Castrenze Polizzotto
MaRDI profile type: Publication
full work available at URL: 0749-6419(86)90023-9
OpenAlex ID: W2070127697
description: scientific article; zbMATH DE number 3990982