An actual engine looks like that (To understand temperatures and pressures, rememberCFM56 turbofan). It's easy to map the detailed elements to the simplified schematic. The fan pushes about one ton of cold air perin the engine every second in high power turbofans.) This is why temperatures and pressures can be so large after compression and after combustion.
All quotes are from Nasa Guide To Engines, 2007, except stated otherwise.
Fan example (with a fan blade missing after the engine blew apart).
Compressor section
Compressor example (high pressure rotors)
Combustion chamber
Combustion chamber example
See single crystal material (known as monocrystalline material in electronics) .
Turbine example (high pressure stator)