I am currently working on a project which is described as the deflection of a circular membrane. What I am trying to model is the deflection of a piece of plastic film (E=200MPa,v=0.5) when placed under pressure. I would like some recomendations on the initial displacement field (w(r)) and the horizontal displacement field (u(r)). Keeping in mind that this membrane is not of a small size, but can vary from 5 cm upto 20 cm in diameter. It has a thinkness of 0.05 mm.
Queit honestly I am not exactly sure what the difference is between theory of using a plate to model this and using a membrane.
I hope to start a discussion this way and receive some input with which I can further my study. Experimental investigation has been completed however the theoretical model is still in progress and I need some help.
I hope to hear more soon! If anything is unclear or I have forgotten something, please let me know.