The two answers posted summarize most of the comments, but miss two important ones.
Go to the University of Chicago library website. Click "My Account" in the upper left. Login with your University of Chicago credentials. Contact your librarian if you struggle with this. Once you are logged in, you can access many articles electronically (and also MathSciNet, but that's not what you asked about).
Use a VPN. This will make it appear to the University of Chicago servers that you are on campus, and you can then access library resources as usual. Instructions on how to do this at UChicago are here.
All that said, I also think you are not violating copyright if you find pdfs of articles from other sources in this situation, even so-called "pirate" sources, because you already have the rights to the articles in question through your affiliation to UChicago.