Deform a 2D tire?

Hello,
I'm searching for solution to deform a 2D tire, when its collide with ground. Just a little bit press edges of sprite, where it lays on the ground just like in the picture below.
I know jelly sprites, but it deform a whole sprite.

 

Maybe have 2 separate sprites, one for the outer ring, and one for the inner. This way you can lock the inner, but deform the outer all you want

 

Yeah I considered that, but how to deform that outer layer?

 

I think what people do is they turn the sprite into a mesh, such as a plane with 2d collider, with the sprite as its texture and deform the mesh.

I think you can see an example of it in this video