A bullet having a jacket, having a rear section, and a front section, having an open front end; a rear core disposed in the rear section of the jacket and bonded thereto; and a front core, separate from the rear core, disposed in the front section of the jacket, adjacent the open front end. The front section of the jacket can expand after impact with the target and release the front core to form an initial volume of disruption, while the rear core and at least the rear section of the jacket penetrate, past the initial volume of disruption.