[Sant01]

Before delving into the question, I would like to mention that I have extensively looked into research papers and haven't found much related to the matter. Hopefully you guys can point me in the right direction.

My scenario is as follows. There is bubble/globule on a solid substrate and as we start stretching the substrate in one direction, we expect the bubble changes it's geometry/shape. I want to simulate this scenario and track the changes in parameters of the geometry.

As of now, my approach is as follows. I am trying to equate the scenario of bubble on a solid substrate (I have taken a 2D scenario for the bubble) to an Arch bridge with a load pulling the bridge apart at the base. I am aware that bridges have fixed boundary conditions but in our scenario, we can keep one end fixed and the other free to move along the line of force.

Please let me know if this approach is good and if not, what path should I explore?

PS: Please ignore the lengths in the diagrams.