I've used epoxy glues on a lot of stuff.. I like the stuff that has the self mixing tube nozzle so you can apply it in small drops where you need them.. Though that type of nozzle seems to be hard to find for my local area.. They have 1, 5, and i think 10-15 minute set up times.. Gotta be quick with the one min.. if you have a lot of gluing to do.. but 5min seemed slow for me on another project.. 1min would have been great other than the glue dried up in the end of the nozzle while i was aligning my first project so when i went to glue the other 3-4 of them I went through more nozzles than I had, LOL ..
As for the corian. You might contact local Home Depot etc. I imagine from time to time they get broken.. I've seen how the workers drive those forklifts