Asymptotic analysis of extrusion of porous metals
type: Item
instance of: scholarly article
title: Asymptotic analysis of extrusion of porous metals
zbMATH Open document ID: 0747.73005
DOI: 10.1016/0020-7403(91)90014-T
author: R. M. Govindarajan
author: Nikolaos Aravas
published in: International Journal of Mechanical Sciences
publication date: 1992-09-27T00:00:00Z
review text: Plane strain extrusion of fully dense and porous metals is analysed using asymptotic techniques. The extrusion die is assumed to taper gradually down the extrusion axis. The asymptotic expansions are based on a small parameter \(\varepsilon\) which is defined as the ratio of the total reduction of the original cross-section to the length of the reduction region. Coulomb's law is used to model the frictional forces that develop along the metal-die interface and the coefficient of friction is assumed to be of order \(\varepsilon\). Analytical solutions for the first two terms in the expansions are obtained.
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
zbMATH DE Number: 60716
zbMATH Keywords: dilute concentration
zbMATH Keywords: Gurson's plasticity model
zbMATH Keywords: finite element calculations
zbMATH Keywords: small parameter
zbMATH Keywords: Coulomb's law
zbMATH Keywords: frictional forces
zbMATH Keywords: metal- die interface
MaRDI profile type: Publication
full work available at URL: 0020-7403(91)90014-t
OpenAlex ID: W2154679803
description: scientific article; zbMATH DE number 60716