To protrude through an abnormal body opening: Rupture. (Merriam – Webster)
(of an organ) suffer a hernia. (Oxford Dictionaries)
An abnormal protrusion; hernia. (Collins Dictionary)
A condition in which the central part of one of the discs between the bones in the spine is squeezed through a tear in the outer part and presses on a nerve, causing pain. (Cambridge Dictionary)
Herniated Discs: Definition, Progression, and Diagnosis.