Is there anyway to measure the young's modulus with a compressive force on a paper thin elastic sheet (made out of a rubbery-fabric material)? I wish to compress the sheet in an orientation that brings two opposite outer edges of the sheet towards each other, rather than a compression that flattens the sheet to be slightly thinner than "paper thin". However, I don't want the sheet to simply fold as this compression is applied. How could one construct some sort of a holding mechanism that keeps the sheet from folding, and directs all of the compressive force into truly compressing the sheet in the desired direction?
The sheet I am working with has an adhesive on one side. The best solution I can think of is to take a large block of some easily compressible material and measure the compressive stress strain relationship of the block with and without the sheet adhered to a side face of the block. If this was done, would the stress on the sheet be the stress on the sheet + block system minus the stress that the block has been measured to experience under a certain strain? I assume this would hold because stress is force over area which means it is additive. If this is true, what material would you all recommend I use for the block?