The invention is directed towards a bladeless obturator (18) for wedging through muscle fiber layers (41,43,45) to safely cut through to the abdominal cavity (32) in order to apply a cannula (12). The invention comprises a bladeless obturator (18) having a tip with an outer surface defining at least one recess (79,79e,79f,79g,79i,79l,79n,105,79q,79s,79t,79w,79x,97)) extending generally between the proximal end and the distal end of the tip.