There are many different databases you might use to conduct your research. Below I've recommended a few that are good candidates for literary analysis/criticism, in particular MLA International Bibliography and Gale Literature Resource Center.
From the SCU Library Databases webpage do any of the following to select a database:
Example: The evolution of women's rights in retellings of Sleeping Beauty
What are two or three keywords that represent your topic?
Example: fairy tales, feminism, women's rights, evolution
Are there any synonyms for your keywords that you should consider using?
Combine keywords with boolean operators like AND and OR.
Example: (fairy tale* OR folk tale*) AND (feminis* OR women) AND (evolution OR progress* OR modern)
Most databases have a place to click to limit results to peer reviewed articles.
Look for it on the left hand side of most interfaces.