These aren't fraggable as far as I know. You have to wait (a very long time) for it to drop a teardrop shaped piece of itself off. Trying to cut the skeleton of this animal would result in death as far as I know.
Elegance corals are definitely more difficult to frag. In order to do it, you'll need to have a couple of specialized tools. A rotary (Dremel type) tool and a very sharp scalpel.
Here's a step by step (with picture) tutorial by Anthony Calfo, Adam Cesnales and Steven Pro.