I had my son break one of my LEKI carbon (well it was in truth hybrid, Alu on top 1/3 and carbon the lover 2/3) by skiing on it (while pole planting too close to the ski edge). Edge cut through it like butter...Still for that , obvious, downside, I love the carbon poles. Low, very low swing "momentum", even so that the change of basket from the small , on piste model, to a wider one to use off-piste / in soft snow was decidedly detectable.
Duct tape.
Won't work. I had said above pole repaired, homemade, with a carbon bandage and an inner alu "rod" for stenght (edit, I found a tutorial on youtube where those are called, "internal splint" and "external splint". so, that's what I did, sort of, I might concede that the repair was not done well, thus what happened later). It lasted about half a season. One day while pole pushing, it simply snapped again , because the applied forces were even so slightly off axis (there should be a thread around here about my repairs on the pole). Next pair of LEKI carbon got destroyed in a shop attempt to shorten them (the "tech" put one, then the other, in a vise, crushing them). I now use the free replacement I got from the shop, a thin alu LEKI model, for my daily skiing...but will buy another carbon one, if ever the time will come (I have a brand new hybrid Alu Carbon SL "racing" pair stored away for a day of "celebration", that I fear, will never come...)