Usually shaving goes out in front of the tool, being connected only along the cutting tool width.
Im interested in another case, when shaving is moved to one side and it stays connected to the material (metal), for the whole length of this partial cut, unlike traditional method.
This probably could be achieved with a cutting tool being angled, and directed with its sharp part at an angle to both, the material and the cutting trajectory, to not to rip away the shaving as it moves. Probably a rolling sharp disk blade would help, to avoid quick dulling of the cutters sharp edge.
Any additional info about how to make such a change to a material surface would help.