Analysis and computations for a model of quasi-static deformation of a thinning sheet arising in superplastic forming

Deckelnick, Klaus, Elliott, Charles M and Styles, Vanessa (2002) Analysis and computations for a model of quasi-static deformation of a thinning sheet arising in superplastic forming. European Journal of Applied Mathematics, 13 (4). pp. 403-429. ISSN 0956-7925

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Abstract

We consider a mathematical model for the quasi-static deformation of a thinning sheet. The model couples a first-order equation for the thickness of the sheet to a prescribed curvature equation for the displacement of the sheet. We prove a local in time existence and uniqueness theorem for this system when the sheet can be written as a graph. A contact problem is formulated for a sheet constrained to be above a mould. Finally we present some computational results.

Item Type: Article
Additional Information: From SRO PART 4
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Charles Martin Elliott
Date Deposited: 06 Feb 2012 21:26
Last Modified: 11 Apr 2012 10:49
URI: http://sro.sussex.ac.uk/id/eprint/31246
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