From Diablo Wiki
Blacksmith Plans and Jeweler Designs are recipes that allow the two artisans to craft items for you in Diablo 3.
Artisans learn recipes by training up through levels of proficiency from level 1 to 10. Each level grants access to recipes for higher quality items. Training artisans costs gold and higher levels of training will also cost Pages of Blacksmithing, Pages of Jewelcrafting, Tomes of Blacksmithing, Tomes of Jewelcrafting and Tomes of Secrets
The highest quality recipes can be found as loot from monsters or from breakable objects and given to the artisans to train. They are not account bound so they can be sold or given away.
Once the artisan has learned a recipe all characters on your Diablo 3 account will have access to it as your artisans are shared.
 Crafting with Recipes
For your artisan to craft from a recipe he has learned he will need materials and gold. If you have what is required in your backpack you simply click Craft in the artisan's interface and the artisan will do the rest.
A recipe never fails to craft.
Blacksmith Plans do not reveal all attributes of the finished item but the recipe does tell you how many bonus attributes the item will have. In that sense there is an element of gambling attached each time you craft the item. If the bonus attributes aren't to your liking the Blacksmith can Salvage the item back into materials or you can sell it to a vendor or in the Auction House.
For a full list of all the recipes available to the artisans check the links below: