Stainless steel and brass lift off hinge materials are best for high.
Split wood door hinge.
Serious splits in door frames.
At this point you may need to decide if you will be happy with the patched up door frame when you are done.
The top hinge on one door has come away from the door frame the wood is split and soft so the screws have no bite.
Wood glue of any type aliphatic glues like titebond seem to be popular in the.
In particular the side where the hinges fasten onto the door tends to crack or split in certain situations.
Lift off hinges are surface or mortise mounted devices that allow users to quickly detach the mating door while keeping hardware in place.
This video shows how to glue a cracked door stile back in place.
For a more serious split you may be able to glue and clamp the door.
A minor split may be cosmetic.
I m thinking the best way to fix this short of ripping out the whole door frame would be to drill out the split wood chisel it square then glue in a new piece of wood for the hinge to be screwed into.
It may have holes for screw mounting or spots for welding depending on the style of the hinge and the door material it is mounting to.