You can research new items by using R & D facilities and then combining the Formula Shard that you already have. You can research Weapon, Armor, Items, defense facilities, buildings and more.
Data R & D (Research & Development) is used to upgrade Blueprints and Formulas. You can get R & D Data by combining Shard or when you get duplicate items from doing the Fusing process. R & D data can also be obtained from the Event.
Here are some ways to get the Shard Formula:
Check the List of NPC Locations that provide Formula Shard
You can exchange Chocolate obtained from the Event with Formula Shard
You can buy a Treasure Map from a Merchant near Stronghold
Complete the Quest or task requested to complete the Achievement and get the Formula Shard
Check the locked chest in the middle of the large room to get the Formula Shard
Farstar City & Charles Town
You can get a Formula Shard from a chest that is deployed by an airplane
You can find Formula Shard in a Warehouse guarded by several Mercenaries.