In cases of serious or constant overuse, a tendon may fray and eventually tear. A tendon can also tear as part of an injury, such as moving or twisting your elbow or shoulder in an awkward way, or falling down with your arm outstretched. At the elbow, the bicep tendon most often tears during the act of lifting a heavy object (for example, a couch or a refrigerator). A biceps tendon tear can happen at either the shoulder or the elbow. A tear can also be complete or partial. A complete tear means the tendon has torn away from the bone.