hmm that is strange. And this happens with different computers/devices?
You may want to do a crash recovery. Possible the firmware got corrupted which can rarely happen.
Download the 1.05 firmware from support.dlink.com/dir-859. Unplug the power to the router. Hold in the reset button and then plug the power back in while still holding the reset button in. Hold for about 10 seconds and release.
While the router is rebooting, you need to statically assign your computer (use ethernet and IE 11 if possible). Statically assign it to 192.168.0.2 / 255.255.255.0.
Open browser and go to 192.168.0.1. You should see a firmware recovery page. Load the .bin file you downloaded. Once finished, close the browser and change your IP settings back on your computer and go to 192.168.0.1 again. Hopefully you will get to the UI.