Journal article
Draping woven sheets
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 5.8MB, Terms of use)
-
- Publisher copy:
- 10.1017/S144618112000019X
Authors
- Publisher:
- Cambridge University Press
- Journal:
- Australian and New Zealand Industrial and Applied Mathematics Journal More from this journal
- Volume:
- 62
- Issue:
- 4
- Pages:
- 355-385
- Publication date:
- 2021-01-07
- Acceptance date:
- 2020-09-30
- DOI:
- EISSN:
-
1446-8735
- ISSN:
-
1446-1811
- Language:
-
English
- Keywords:
- Pubs id:
-
1135580
- Local pid:
-
pubs:1135580
- Deposit date:
-
2020-09-30
- ARK identifier:
Terms of use
- Copyright holder:
- Australian Mathematical Society
- Copyright date:
- 2020
- Rights statement:
- © Australian Mathematical Society 2020.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Cambridge University Press at: https://doi.org/10.1017/S144618112000019X
If you are the owner of this record, you can report an update to it here: Report update to this record