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1.
When someone has had sex with someone or something so large that their cavity remains open, often painfully.
Girl: The guy last night was really big, he cored me.
by Kinglink January 22, 2010
 
2.
When a storm chaser either intentionally or un-intentionally drives through a hail core of a storm.
Oh man Bill got totally cored in Montana he lost his windshield.
by Chris White2 August 13, 2008