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a. A polycrystalline aluminum alloy contains a dispersion of hard particles of diameter 10–8 m and average center-to-center spacing of 6 x 10–8 m measured in the slip planes. Estimate their contribution to the tensile yield strength, sy, of the alloy.
b. The alloy is used for the compressor blades of a small turbine. Adiabatic heating raises the blade temperature to 150°C, and causes the particles to coarsen slowly. After 1000 hours they have grown to a diameter of 3 x 10–8 m and are spaced 18 x 10–8 m apart. Estimate the drop in yield strength. (The shear modulus of aluminum is 26 GN m–2, and b ¼ 0.286 nm.)
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