I have some simple tile like boxes that fall onto a plane. The tile boxes have a rigid body shape of "Box". However even when I think the simulation would be done, the boxes continue to slide off at shallow angle. What attributes in the rigid body physics controls how much an object grips another object. I tried increasing the friction of all the objects to 1 with no effect. Also turned off bounciness and increased damping. But the objects continue to slide until the point that they are all lying flat on the plane. I would think that friction would stop this.
I recreated the scene from scratch and set the friction of all the objects to 1 before running the simulation. Below is the blend file that I created.