The research shows that requiring time-based password changes increases re-use (users will use a password from another site, since they've already got it memorized, or will use a near-duplicate of their previous password), decreases password complexity, and increases the odds of the password getting written down somewhere.
The answers and papers in this related questionthis related question would be a good starting point for further reading, for example, the introduction and conclusion of this one.
In short, if you want to minimize password re-use, don't require time-based password changes. The best way I've seen to encourage unique passwords is to provide the user with a randomly-generated password at account creation, rather than letting them specify a password.