Periodic folding of thin sheets (Reprinted from SIAM Journal on Applied Mathematics, vol 55, pg 1609-1624, 1995)

Authors
Mahadevan, L Keller, JB
Citation
L. Mahadevan et Jb. Keller, Periodic folding of thin sheets (Reprinted from SIAM Journal on Applied Mathematics, vol 55, pg 1609-1624, 1995), SIAM REV, 41(1), 1999, pp. 115-131
Citations number
10
Categorie Soggetti
Mathematics
Journal title
SIAM REVIEW
ISSN journal
00361445 → ACNP
Volume
41
Issue
1
Year of publication
1999
Pages
115 - 131
Database
ISI
SICI code
0036-1445(199903)41:1<115:PFOTS(>2.0.ZU;2-E
Abstract
When a thin sheet of a flexible material such as paper is fed from a horizo ntal spool towards a rough horizontal plane below it, the sheet folds on it self in a regular manner. We model this phenomenon as a free boundary probl em for a nonlinearly elastic sheet, taking into account the stiffness and w eight of the sheet and the height of the spool above the plane. By using a continuation scheme we salve the problem numerically and follow the evoluti on of one period of the fold for various values of the parameters. The resu lts are found to agree well with observations of the folding of paper sheet s.