Hi Daniele,
Like always, a picture says it all. I wondered if you were talking about small bearing inserts like in a dinghy rudder gudgeon or as your picture shows, larger bushing for the rudder shaft. You did say bushes, but best to check.
Hard to be certain, but the way the break has happened it looks like a form of Acetal. Delrin/Acetal tends to be quite hard and boney , if that is even a word (like bone), so it breaks cleaner than a lot of other plastics, which stretch and deform before they and break.
Frank has mentioned it a couple of times and I think he is spot on. UHMWPE (you can see why they use the acronym) is a great alternative. Doesn’t machine as cleanly as Delrin, but it machines well enough. It’s has good dimensional stability in moisture and great resistance to abrasion. And like Frank says, CHEAPER, especially as you have to buy some quite large diameter solid rod.
I used it a bit in the past and I remember one time in particular I used it as end plugs in a spinnaker pole. I made them a neat fit and even after five years in and out of water and UV, the plugs never swelled and always slid in and out without issue.
Hope it goes well.
Craig