There is no set term for this, but it is quite popular these days. Using amenbreaks samples (typically used in Jungle music) on the background of a bassdrum has been common at least since the second half of the 90's. In recent years producers have started combining modern DnB styles with Hardcore and these modern DnB styles have also gotten influence from Hardcore.
Most known styles of the latter are Skullstep/Crank (subgenre of Techstep), which is produced by artists such as Current Value, Donny and Limewax. The fast, aggressive and repetitive breaks and dark soundscapes are very similar to Hardcore Techno. The Outside Agency, a duo of DnB and HC producers DJ Hidden and Eye-D, have recently become known for their Hardcore style that takes a lot of influence from Darkstep and Skullstep. They have developed this drum'n'core sound since the amenbreak+hardcore times of the 90's.
"The Way of the Exploding Fist” was the duo's first release where influence from modern DnB can be heard. Other examples of DnB influenced Hardcore releases: The DJ Producer's ”Breaks the Unbreakable” and Sadistic label's third release with tracks by Fiend and Deathmachine.