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Materials for engineering, 3rd Edition - (Malestrom)

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Determination of mechanical properties 61<br />

14<br />

12<br />

10<br />

Fe and Ni alloys<br />

∆K th (MPa/m)<br />

8<br />

6<br />

Cu and Ti alloys<br />

Al alloys<br />

4<br />

2<br />

0<br />

0 0.2 0.4 0.6 0.8 1.0<br />

R<br />

2.18 Ranges of threshold ∆K versus load ratio (R) <strong>for</strong> some<br />

<strong>engineering</strong> alloys.<br />

a roughly linear way with the yield stress σ y . The fatigue ratio, defined as<br />

σ e /σ y at R = –1, appears as a set of diagonal lines. The ratio is almost 1 <strong>for</strong><br />

<strong>engineering</strong> ceramics, about 0.5 <strong>for</strong> metals and elastomers, and about 0.3 <strong>for</strong><br />

polymers, foams and wood.<br />

Figure 2.20 refers to the behaviour of cracked specimens and charts the<br />

relationship between the fatigue threshold and the fracture toughness of<br />

materials. The correlation between ∆K th and K Ic is less good than between σ e<br />

and σ y , reflecting the fact that, with the exception of polymers and woods,<br />

cracked materials are more sensitive to fatigue loading than those which are<br />

initially uncracked. The ratios shown in Fig. 2.19 and 2.20 vary widely with

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