I found a website explaining different methods of photographing a total lunar eclipse, and gave it a try. This image is a composite of 25 frames taken with a zoom lens set at approximately 31mm, 5 minutes apart (with a couple of timing errors because I missed resetting the timer, like between image 15 and 16). The exposure had to be adjusted for each one in advance based on a table estimating the luminance of the moon (L) at different phases of an eclipse and the corresponding exposure value (EV). I then combined all 25 frames into one Photoshop file and blacked out the surrounding sky, because stars were repeated in each frame and would have been an unnecessary distraction.
The last several images, to the lower right, were taken after the moon began coming out from the shadow of the earth. Since the sun was hitting portions of the moon directly, the exposure had to be compensated drastically, resulting in the shadow portions of the moon becoming too dark to be visible using that EV.
I didn't catch the entire duration of the eclipse, only the portion from totality (upper left) to near the ending phases of the earth's shadow over the moon.