Trevathan has missed the last five games with an elbow injury he sustained Nov. 10 in a win over the Lions at Soldier Field while tackling quarterback Jeff Driskel.
Trevathan finishes the season with 70 tackles, one sack, two tackles-for-loss, four quarterback hits, one pass breakup and one forced fumble.
He is the ninth Bears player to be placed on injured reserve this season, following tight ends Ben Braunecker, Trey Burton and Adam Shaheen; tackle T.J. Clemmings; defensive tackle Akiem Hicks; linebacker Roquan Smith and defensive back Sherrick McManis.
Hicks was removed from IR last week and played against the Packers after missing eight games with an elbow injury he sustained Oct. 6 in a loss to the Raiders in London. Hicks recorded four tackles and two quarterback hits versus Green Bay.
Joseph has spent the past two seasons on the practice squad after signing with the Bears as an undrafted free agent from Dubuque in 2018. He grew up in the Chicago area, attending Oswego High School.
The Bears on Wednesday also signed receiver Alex Wesley to the practice squad. Wesley entered the NFL this year with the Giants as an undrafted free agent from Northern Colorado. He was waived as part of final cuts, placed on injured reserve and then waived/injured Sept. 11.