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1.
The act of being so high/drunk that once upon your back, you are rendered incapable of getting yourself back to the appropriate angle
"He was so high last night he had a full on turtling out episode"
by Sir Spliffsalot March 10, 2009
 
2.
When you have talked to the other partner in a long distance relationship so long on your cell phone that your battery dies mid conversation

"Diana's on the phone with Joe for so long that she keeps turtling out on the car ride home from work everyday."
by phillygirl74 December 16, 2008