Care of woven Kevlar- Since this has come up a lot, here are my recommendations:
The enemies of woven Kevlar are two- sun exposure (strong, chronic exposure to UV light) and bacteria/fungus. The best way to protect against the former is don't go sunning in your bare armor panels. Keep them inside the carrier, or at the very least in their protective fabric outer sheath. For the latter, every once in a while, soak the armor panels in a weak solution of baking soda. This will kill the fungus, and neutralize any acids produced by sweat eating bacteria. You can then follow up with a very mild dish soap solution, then rinse again and let dry. This will keep your armor practically immortal. DO NOT put your armor in the dryer, and DO NOT use harsh chemical cleaners on it. Just baking soda and a little dish/bar soap is all you need.