NewScientistSpace has recently published two articles referencing another article in Acta Astronautica on the dangers that Radiation will pose to travellers using the Space Elevator. The first article requires you to subscribe while the second article does not. I have a subscription and so was able to read the entire first article. The second is better and more complete, so don’t waste your money on a subscription just to read the first article.
The original article in Acta Astronautica is by Blaise Gassend and Anders Jorgensen.