I live in New England, where "Winter Wonderland" often involves large amounts of ice on the road. A number of times I've had to help someone get their car out of a parking spot where their drive wheels were on ice. Often the driver would (foolishly) floor it, spinning the wheels without accomplishing anything, eventually resulting in the smell of burning tires.
I associate that smell with tires that are overheating due to friction, but there's very little friction when on a block of ice. And, one would think being pressed against ice would be a great way of cooling down the tread. So, what is causing that smell?
My only guess is that the tire tread flexes rapidly as it comes to and leaves the contact patch, which heats (and eventually overheats) the tire compound. If so, then why don't tires get that hot while rolling on the highway, at highway speeds?