Consider a microalloyed steel whose structure consists of a ferrite matrix conta
ID: 1819920 • Letter: C
Question
Consider a microalloyed steel whose structure consists of a ferrite matrix containing 0.2% by volume of NbC panicles. The carbide particles are spherical and quite small; their average radius (r) is 10 nm. The NbC particles serve two functions (cf. Fig. 5.38). One is that they restrict ferrite grain growth during processing, providing additional grain-size strengthening. (The grain size (d) of the microalloyed steel varies with r and f as d = r/f.) Some carbide particles are also situated within grains. Dislocations bow around them during plastic deformation, providing further strengthening. The effective spacing between particles within the grain is L' = r (pi/f)1/2. The yield strength of ferrite with a grain size of 50 mum is 260 MN/m2. How much of a strength increase results from grain refinement provided by the carbides? How much of a strength increase is due to the particles situated within the grains? What is the yield strength of this microalloyed steel? Compare with Fig. 5.38. In your comparison consider not only the total strength of the steel, but also the respective contributions to strength from grain-size refinement and particle hardening. Suppose this steel is processed improperly such that the carbide particle size is increased by a factor of two (but f remains equal to 0.002). What is the yield strength of this improperly processed material? Data for steel: ky = 0.60 MN/m3/2; G = 8.1 Times l010N/m2; b = 2.48 Times 1010m. Figure 5.38Explanation / Answer
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