Custom Bubble Wrap?

[drape]

Hello,

I'm trying to simulate an inflatable membrane. Imagine a kind of custom bubble wrap but instead of a circle as the boundary for the cell it could be any shape - some polygon. Anway this cell can be inflated or deflated but its edges remain stationary and planar while the "membrane" inflates.

Can anyone point me in the right direction for this kind of technique? Suggested Plugins?

Thanks.