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Applied Mathematics Seminar
    
  
 
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Charlie Macaskill
School of Mathematics and Statistics, University of Sydney

Wrinkles in thin sheets

Wednesday 17th October 14:05-14:55pm, Eastern Avenue Lecture Theatre.

When a thin sheet of elastic material is stretched, it can wrinkle, with the wrinkles aligning with the direction of stretching. As the applied tension is increased, the amplitude and number of wrinkles increases. These general observations can be explained using the weakly nonlinear Von Karman equations that describe the bending of elastic plates. A related problem was discussed this year at the Mathematics in Industry Study Group (MISG 2007). When thin steel sheet is cold-pressed between rollers, it sometimes happens that a small ridge appears near the centre of the sheet. The ridge may be only a few centimetres wide, and some millimetres in amplitude, but can extend for tens of metres or more in the direction of transport of the sheet, rendering the product useless. In this talk I will discuss how wrinkles arise in thin elastic sheets and therefore provide an initiating mechanism for the observed ridge formation in steel-sheet pressing.