Abstract: An internal stress-grading system for protecting against deleterious electrical stress concentration within an electrical connection in which pre-molded elastomeric component parts are assembled to complete the connection. The system includes internal portions of conductive elastomeric material establishing an internal shield of assembled segments, the portions of conductive elastomeric material being joined with portions of insulating elastomeric materials within each component part along a generally continuous, void-free juncture, the juncture following a continuous contour which has an arcuate salient profile defining the boundary of the conductive elastomeric portion at each joint between consecutive shield segments.