another term for purposely or not purposely shutting down ones feelings here in NY is called Dissociation and dis-association..

Dissociation is an automatic reaction to things we feel and dis-association is purposely distancing oneself from what we feel.

examples...
when I was a child being abused I would shut down, space off, stuff my feelings and that abusive event.. (dissociation)

When I was in a sports event I noticed I was purposely shutting down my feeling bored, angry and other feelings. so I purposely dropped out of that sports event, purposely stopped going to that sports even meets, practices, purposely cut off my association with that sports event. (dis-association)

when a person shuts down their emotions they also run the risk of having other mental disorders like PTSD, depersonalization/derealization disorder, Other Specified Dissociative Disorder (OSDD), Unspecified Dissociative Disorder (UDD) , Dissociative Amnesia, and many others...

my suggestion to anyone that may be shutting down their feelings/stuffing their feelings would be contacting their treatment providers. the solution may be as simple as a medication or learningg other coping tools that will enable a person to handle their problems and emotions in other ways then using their dissociative skills or their stuffing their emotions down and away from their self coping tools.