Draping woven sheets

Author: 

Howell, P
Ockendon, H
Ockendon, J

Publication Date: 

7 January 2021

Journal: 

Australian and New Zealand Industrial and Applied Mathematics Journal

Last Updated: 

2021-08-23T17:44:29.637+01:00

Issue: 

4

Volume: 

62

DOI: 

10.1017/S144618112000019X

page: 

355-385

abstract: 

Motivated by the manufacture of carbon fibre components, this paper considers the smooth draping of loosely woven fabric over rigid obstacles, both smooth and nonsmooth. The draped fabric is modelled as the continuum limit of a Chebyshev net of two families of short rigid rods that are freely pivoted at their joints. This approach results in a system of nonlinear hyperbolic partial differential equations whose characteristics are the fibres in the fabric. The analysis of this system gives useful information about the drapability of obstacles of many shapes and also poses interesting theoretical questions concerning well-posedness, smoothness and computability of the solutions.

Symplectic id: 

1135580

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article