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Materials for engineering, 3rd Edition - (Malestrom)

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82<br />

<strong>Materials</strong> <strong>for</strong> <strong>engineering</strong><br />

creep will be reduced by increasing the grain-size (equation [3.7]), and the<br />

use of single crystal turbine blades is an extreme example of this approach.<br />

3.1.5 Resistance to fatigue failure<br />

It has long been recognized that fatigue cracks normally nucleate at a free<br />

surface in a component, often at a point of local stress concentration. There<br />

are thus two approaches to the avoidance of fatigue, namely, careful design<br />

in order to avoid concentrations of tensile stresses in the surface of the<br />

component and, secondly, microstructural control.<br />

Fatigue-resistant design<br />

In a component subject to fluctuating stresses, it is essential to avoid sharp<br />

changes in cross-section. Notches and grooves, such as keyways on rotating<br />

shafts are obvious examples of such features and smooth, gradual changes in<br />

cross-section, with large radii of curvature at fillets are essential if early<br />

fatigue fracture is to be avoided. Figure 3.8 shows a series of test-pieces<br />

prepared from identical 10 mm-diameter steel bars. In each case, the minimum<br />

cross-section of the test-piece was 7 mm and various means of effecting the<br />

change in cross-section from 10 to 7 mm have been employed. S–N curves<br />

r = 250 mm<br />

7<br />

10<br />

S(o)<br />

r = 25 mm<br />

7<br />

10<br />

S/S(o) = 1<br />

r = 6.5 mm<br />

7<br />

10<br />

S/S(o) = 0.92<br />

7<br />

10<br />

S/S(o) = 0.49<br />

12.6<br />

7<br />

10<br />

S/S(o) = 0.40<br />

3.8 Effects of fillet radii and notches on fatigue limit (S).

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