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ES 240 Project: Draping of a thin elastic sheet

Madhav Mani's picture

Everyone has seen how a table cloth hangs over the edge of the table. The way in which the excess material is accomodated, that is, the nature of the wrinkles, may depend on the material properties of the table cloth, the angle which the edge of the table is making (a right angle in the case of most tables but one can imagine the wrinkles of a table cloth draped over a circular table, or for that matter any shaped table).

If you aren't quite sure what I am talking about then take a scarf or any isotropic homegenous material and just susupend it of the corner of your desk.

I don't have any article to cite. I don't know if any work has been done on this. My aim is to read Landau Lifshitsz and attack this problem from first principals.

I would also like to use Abaqus to see if I can simulate the system. And then vary things likes E and poisson's ratio etc. And also the angle of the corner makes etc.

Comments

This certainly sounds like an exciting topic to explore, though I am concerned about the scope of the project, specifically the time limitations we have. Abaqus is certainly a powerful program, but I'm sure modeling this situation would prove to be an onerous task even for the most experienced user. However, I do believe you should be able to look at some simplier situations. Maybe looking at small angles from a straight line would be simpler than a corner. Or as you mentioned, a circular situation.

Unfortunately, there do not seem to be any appropriate third party books on using Abaqus. I think we are all stuck with the documentation provided by the company. Maybe a phone call to the support team or posting a question on their website would provide some useful tips for modeling this situation.

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