Hello.
How can I get the material like a rib. Given is the intersection with other objects?
you’ll want to look into the depth fade node. should give you what that screenshot shows with some work.
I can not imagine how it can be used 
The scene depth will not permanent edge intersections.
you are correct that it won’t be permanent and may look wrong from some angles as it is a screen based effect, but as far as i know it is currently the only way to get intersections between meshes and translucent materials.
distance in the depth fade is set to something fairly low like 5.
Thanks! Now I have something to start