Its very common among stutterers.  You can probably say your name a thousand times over alone or when it doesn't matter but during introductions or when the brain thinks its more.meaningful and begins getting all cautious it triggers a block as if our life depends on it and better not to risk it.   Things changed for me when I began not letting my fear stop me.  It was like a self fulfilling prophecy when I would fear it and loath and wanna do anything not to go through it, it just built the doubt more and more, until I said screw it, thinking over it just makes it worse in my own head.  I told myself I will never shy from it again. I would stutter through it and NOT dwell on it after.  Just move on with my life and enjoy what I always take for granted.  The body over time realized I always live through it, there's nothing to worry over, its not like it helps, and eventually my name and more became like any other word.  Like talking with the wind.  It didn't happen at the flick of a finger for me but I didn't beat myself up over it, why feed the fear and cycle.  I just enjoyed myself either way and began feeling comfortable in my own shoes and realized no one cares, they're too busy thinking about themselves and their own problems so I could relax and enjoy myself.