Periodic Folding of Thin Sheets
نویسندگان
چکیده
When a thin sheet of a flexible material such as paper is fed from a horizontal spool towards a rough horizontal plane below it, the sheet folds on itself in a regular manner. We model this phenomenon as a free boundary problem for a nonlinearly elastic sheet, taking into account the stiffness and weight of the sheet and the height of the spool above the plane. By using a continuation scheme we solve the problem numerically and follow the evolution of one period of the fold for various values of the parameters. The results are found to agree well with observations of the folding of paper sheets.
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ورودعنوان ژورنال:
- SIAM Journal of Applied Mathematics
دوره 55 شماره
صفحات -
تاریخ انتشار 1995