15th January 2014
Unfortunately Google gets quite draconian to users: When using Google Chrome to surf a web page with a certificate problem, you simply cannot view the web-site. There is no dialog, where you can say: It's o.k., I accept the risk. This behaviour occurs at least with versions 31.0.1650.63 and 32.0.1700.77.
If you want to view web-sites with certificate problems you have to start Google Chrome like this
More command-line arguments for Chrome can be found here: List of Chromium Command Line Switches.
One prominent example for a web-site with a certificate problem is Intel. Intel is able to power the world's most powerful computer, Tianhe-2, with more than 3 million cores, but they are not able to get their web-site right.
Addendum 23-Mar-2014: Google Chrome 33.0.1750.152 fixed the issue. Now it is possible to say: "Proceed anyway", and therefore accept the risk and proceed with an invalid certificate.