A friendly note: If this is a duplicate then please guide me to that question. I searched for a similar question and ended up with nothing. Also, if anybody understands my point then please edit it into a better question. I tried my best.
It just struck me that when we define pressure as a force per unit area we take the area in contact. For example the classic situation of a thumbnail being pierced into a board the contact area is different at the tip and at the "handle?" and thus the pressure is a lot larger if the tip is in contact with the board's surface.
But let's say I have two magnets and I try to bring the similar poles near. They will repel each other by virtue of their magnetic forces (non-contact). I hold them together and I feel that they are trying to push my fingers away.
Is this an example of pressure (acting between the magnets)?
Can we define a term similar to pressure (with units N/m^2) between the two objects using their magnetic fields and fluxes?
Is there any way in which a non-contact force can cause pressure (obviously I don't mean putting a wooden board between opposite magnetic poles)?
Why I'm asking this question is because at the fundamental level there is no true contact between two surfaces. In normal case the repulsion happens at a microscopic level between the charges and in case of these magnets it happens at a macroscopic level. So there should be a way to draw analogy... right?