I have some experience using PU.
PU is manufactured in two ways - outer diamer or inner diameter calibrated.
PU won't change it's original shape when heated. It melts at approximately 250 deg/C, which is quite usable making temperature sensors (TO92-package) water proof in a slightly widened PU-6 tube (outer diameter 5mm, inner diameter 4.0mm, TO92-package 4.25 - 4.35mm).
For a quick test you might heat an end of PU generously over a length of 1/2 inch using a cigarette lighter. Then press it (at least 10kg pressure) and allow cooling to room temperature. The "glued" PU can stand the same pressure (nominal 8bar) as the original tube.
Shaping PU must be done heating the material slowly (no torch or cigarette lighter) and using a cone for the desired inner diameter pressing it into the tube.
Dunking the end of the tube in boiling water (until it becomes "floppy") it can be increased in (inner)diameter from e.g. 4mm to 5mm without loosing much strength, since the outer diameter will increase as well, reducing wall thickness slightly. (normally 1mm).
Boncuk