Your tungsten ring, while very sturdy and strong, needs care too! Yes, a tungsten ring means very little maintenance, but it doesn't mean you should not do routine care to keep it in the best condition.
To care for your tungsten ring you can clean it with a mild cleaner and wiped with a smooth, soft rag. You should not store your tungsten ring next to diamonds, as diamonds are the only thing that can really scratch a tungsten ring. If you sense a problem with your tungsten ring, please see your jeweler for repair.