Exact solutions for large elastoplastic deformations of a thick-walled tube under internal pressure
type: Item
instance of: scholarly article
title: Exact solutions for large elastoplastic deformations of a thick-walled tube under internal pressure
zbMATH Open document ID: 0824.73019
DOI: 10.1016/0749-6419(94)00040-9
author: Roman Bonn
author: P. Haupt
published in: International Journal of Plasticity
publication date: 1995-11-15T00:00:00Z
review text: The authors study the exact solution for large elastoplastic deformation of a thick walled tube under internal pressure, using a rate-independent plasticity theory based on the concept of dual variables and dual derivatives. Application of this theory to the problem of thick walled tube under internal pressure leads to a system of partial differential equations of hyperbolic type. Since the solutions of such boundary value problems exist and are unique, the authors obtain the solution by means of an extrapolation technique. This integration method turns out to be applicable to a rather general hardening models of rate-independent plasticity. This work is quite interesting and may be very useful for researchers working in the area of plasticity.
reviewed by: Hilmi Demiray
Mathematics Subject Classification ID: 74C15
Mathematics Subject Classification ID: 74C20
zbMATH DE Number: 754634
zbMATH Keywords: system of hyperbolic type
zbMATH Keywords: rate-independent plasticity
zbMATH Keywords: dual variables
zbMATH Keywords: dual derivatives
zbMATH Keywords: boundary value problems
zbMATH Keywords: extrapolation technique
MaRDI profile type: Publication
full work available at URL: 0749-6419(94)00040-9
OpenAlex ID: W2052325927
Wikidata QID: Q126977376
description: scientific article; zbMATH DE number 754634