Figured I'd add a bit more detail about the event.
I was traveling roughly 35mph in a straight line on a clear road with no discernible debris. Same road I travel every day to get to work. To get up our driveway there is a right hand turn and you cannot take it at much more than 5-10 mph.
Since everything happened so quickly I'm not 100% confident on this, but I think I started to brake to reduce speed and then the grinding/shuddering started and I started turning. In the heat of the moment (seconds) I realized that even though the sound was awful I needed to slow down or I'd end up on the sidewalk. So I continued to brake and turn.
When I completed the turn and was stopped the grinding noise stopped. At this point I still wasn't sure I had not had something get caught up in the car or what the source of the noise was. I inched forward and the car moved just fine and made no sounds. I accelerated a little more, still no problems, then I braked and that was bad grinding-shuddering. I stopped and looked around/under the car but didn't see anything beyond the wheel well damage, no thing was caught and dragging.
End up slowly driving the car into a parking spot, drove ok enough, only problem was with even mild braking the wheel would start rubbing the rear of the wheelwell, so I slowed down without braking for the most part, and then when required the lightest of touch to stop the car.
When parked the damage was most clear when I turned the to the left and could see the broken lower control arm pictured above. The tire is really gouged. With this particular failure I think that the best thing I probably could have down would to have been to reduce braking force.
If looking at your own car I think you'd need a mirror to the see the back side of the control arm where it attached to look for fatigue. Tesla roadside assistance picked up on the car and its at a service center now, will update with the results. Given how many of these I've seen I already reported to the NHTSA as an incident so that it can be tracked.