Since all other achievments are only matter of completing the game in all championships with all new cars, there is no reason to describe others but this one.

It's quite simple. Try to destroy your car entirely.
Just drive and act like crazy driver: Crash, Roll, Bump, Drift and Crash.

If you can't make it through first two stages, don't repair car and continue.

That should do the job.

One little note: You will get achievment after you cross the finish line.