All other things being equal (eg geometry, mass density) the vibrational frequency is a function of the modulus of elasticity. That's only about 10% different for mild steel and stainless. The harmonics shouldn't be an important issue.Neat info there, but not so relevant to the 004A. Those didn't make use of just standard Krupp stainless steel alloys but specialized high temperature alloys containing significant amounts of even more scarce metals like cobalt and molybdenum. (the latter is exceptionally good at increasing creep strength)
So Jumo 004Bs might have been able to be built without resorting to mild steel, but they'd likely still have had problems with turbine vibrations (due to differing harmonics in the alloys used) as well as air cooling of the turbine blades. (vibration issues were more serious in terms of preventing mass production, otherwise the early 004B variants using solid cromadur -krupp stainless steel- blades with air cooling jets/channels at the hub alone could have been in production much earlier)
...The dominant factor in preventing quality engines was the inadequate supply of nickel and to a lesser extent chromium; design issues were definitely there such as poor fuel control (leading to overheats and flameouts) but it's hard to blame the engines lack of refinement since the overheats due to fuel overdosing could have been tolerated with better alloys. A vast engineering effort went into reducing the nickel requirements of the engine down to about 6.0 kg/unit. On its own this distracted much talent away from the basics. The pioneer in jet engines in Germany and effectively the world was Heinkel and one reason they failed to get orders was that they were not as far down the path of reducing nickel consumption as the other manufacturers.
A case in point is the combustion chamber cans. There were six of these arranged as a ring around the shaft, they were initially made of a heat and corrosion resistant high nickel and chromium content austenitic alloys (basically a fancy stainless steel). In order to reduce demand for these metals the cans were made out of ordinary carbon steel with an aluminium oxide coating (effectively ceramics). Thus these can needed to be replaced at least every 25 hours. In fact the cans often burned through. Even eliminating the nickel but retaining the chromium would have improved this enormously. Another case in point is the translating exhaust cone which was also of ordinary steel and distorted under heat and stress to block the engine.
Re: Me 262 Mythology
In retrospect, rather than building around 1400 poor-quality machines, they should have limited production to 500 high-quality units.A case in point is the combustion chamber cans. There were six of these arranged as a ring around the shaft, they were initially made of a heat and corrosion resistant high nickel and chromium content austenitic alloys (basically a fancy stainless steel). In order to reduce demand for these metals the cans were made out of ordinary carbon steel with an aluminium oxide coating (effectively ceramics). Thus these can needed to be replaced at least every 25 hours. In fact the cans often burned through. Even eliminating the nickel but retaining the chromium would have improved this enormously. Another case in point is the translating exhaust cone which was also of ordinary steel and distorted under heat and stress to block the engine.
Re: Me 262 Mythology
That would have been more than adequate to destroy the USAAF bomber force even if only half could get into the air at any given time?