As stated above tungsten carbide is not homogeneous but consists of finely powdered tungsten carbide mixed with a binder, usually cobalt. The material is pressed and sintered to near final shape and then ground.
The same applies to ‘pure’ tungsten metal, it is a mix of tungsten powder and a binder. The material can be turned with carbide inserts and drilled with carbide drills. However, the material is very brittle. This is what happened when I tried to tap it:
Normally ‘tungsten’ metal is an alloy with a few percent of other materials, often iron and nickel. These alloys are less brittle. Machining and drilling with carbide tooling is fairly straightforward. This is a cylinder turned and drilled 8mm deep with a 1.2mm carbide drill:
The final application was a governor ball consisting of two hemispheres screwed together:
While machining tungsten alloy is fine, tapping proved to be a nightmare. The alloys have a high tensile strength and close up on tap, locking it solid. I broke several taps, including ring taps specifically for high tensile materials, before discovering that my worn set of M4 Dormer hand taps worked best.
Tungsten alloys are available here:
https://www.smithmetal.com/tungsten-alloys.htm
But sit down and do up the seatbelt before asking the price. A good few years ago I asked Smith Metals for a price on a 10″ length of 7/8″ diameter tungsten alloy. Answer was around £600.
Andrew