Studies allows you to email stacks to other Studies users, or upload them to iCloud and post a link to friends.
If you tap the sharing button 3rd from the right in the toolbar at the top, you can tap Share Stacks. This brings up a list of your stacks. Select a stack or case, and tap the Share button.
When you do this, you are presented with a screen asking you to choose a format. The Studies App Archive format is usually best for exchanging with other Studies users.
After you have selected a format, there are a number of actions you can take. You can email the stack as a file, open it in another app, or upload it to iCloud and share the link. A link can be copied for pasting in other apps, emailed, or posted to Twitter or Facebook.