The University of Southampton
University of Southampton Institutional Repository

Vacuum moulding of a superplastic in two dimensions

Vacuum moulding of a superplastic in two dimensions
Vacuum moulding of a superplastic in two dimensions
A mathematical model is proposed for the process of vacuum superplastic forming. The model exploits the fact that in most industrial applications the sheet aspect ratio (thickness/sheet width) is small. After an initial consideration of some of the more general properties and the literature of superplastic materials, the elastic/plastic deformation of an internally-inflated thin-walled cylinder is examined. Plates of arbitrary geometry are then considered. A quasisteady model in which the sheet moves through a sequence of steady states is developed. Some simplified closed-form solutions are examined, but for general cases a system of nonlinear partial differential equations must be solved numerically. An efficient and accurate semi-explicit numerical scheme is proposed and a simplified stability analysis is presented; the method is then used to compute properties of superplastic vacuum moulded sheets in a number of practically motivated cases.
0272-4960
217-246
Chapman, S.J.
2fb8f0b2-56ab-4ac7-8518-35abf1047cf9
Fitt, A.D.
51b348d7-b553-43ac-83f2-3adbea3d69ab
Pulos, G.C.
d4ff0ba4-1b30-4658-ab31-1ef8df7bc6dc
Chapman, S.J.
2fb8f0b2-56ab-4ac7-8518-35abf1047cf9
Fitt, A.D.
51b348d7-b553-43ac-83f2-3adbea3d69ab
Pulos, G.C.
d4ff0ba4-1b30-4658-ab31-1ef8df7bc6dc

Chapman, S.J., Fitt, A.D. and Pulos, G.C. (1999) Vacuum moulding of a superplastic in two dimensions. IMA Journal of Applied Mathematics, 63 (3), 217-246. (doi:10.1093/imamat/63.3.217).

Record type: Article

Abstract

A mathematical model is proposed for the process of vacuum superplastic forming. The model exploits the fact that in most industrial applications the sheet aspect ratio (thickness/sheet width) is small. After an initial consideration of some of the more general properties and the literature of superplastic materials, the elastic/plastic deformation of an internally-inflated thin-walled cylinder is examined. Plates of arbitrary geometry are then considered. A quasisteady model in which the sheet moves through a sequence of steady states is developed. Some simplified closed-form solutions are examined, but for general cases a system of nonlinear partial differential equations must be solved numerically. An efficient and accurate semi-explicit numerical scheme is proposed and a simplified stability analysis is presented; the method is then used to compute properties of superplastic vacuum moulded sheets in a number of practically motivated cases.

Full text not available from this repository.

More information

Published date: 1999

Identifiers

Local EPrints ID: 29122
URI: http://eprints.soton.ac.uk/id/eprint/29122
ISSN: 0272-4960
PURE UUID: 72ba4897-f469-4894-9c1f-6cda1ded6254

Catalogue record

Date deposited: 03 Jan 2007
Last modified: 04 Dec 2018 17:33

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×