I-40 will be shutdown-shutdown @ downtown Knoxville. The work around will be I-640 which will be woefully over capacity for 18 hours a day.
I-40W should be closed @ Broadway/Hall of Fame/James White Pkwy. I-40E will be closed @ I-275.
They are cutting all of the I-40 bridges downtown, thus the reason for the closures.
http://www.tdot.state.tn.us/smartfix/jwp/timeline.asp Should have the details on the closures - maybe not that page, but other pages there.
Good luck, and godspeed through construction season.