turbos run at etreemly high rpm so there for the centripedal force trying to rip the inpellers apart must be really something and the exhaust side gets quite toasty. and even the shaft between the inpellers has to transmit quite an amazing amount of power, id don't think they stress the oil that much as the rotating parts arn't heavy and the core is often water cooled as well. so i would say the exhaust inpeller of a turbo is most stressed but there again there made of some fandango alloys so are they actualy that stressed compared to what they will take.
apparently the cams, tappets give oil the most stick in a modern high outpute diesel due to the shear forces it experiances when the cams trying to open the valve's against the pressure in the cylinder ( on a vag diesle anyway )
the most stressed part may well be engine dependant, on a rover fourum i bet the general consencus would be the headgasket was most stressed