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Materials for engineering, 3rd Edition - (Malestrom)

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Determination of mechanical properties 63<br />

Fracture threshold ∆K th (MPa m 1/2 )<br />

10 2<br />

10<br />

1<br />

10 –1<br />

10 –2<br />

Fatigue threshold/fracture toughness<br />

Fatigue<br />

insensitive<br />

materials<br />

(notched)<br />

Polymer<br />

foams<br />

Woods II<br />

to grain<br />

Engineering<br />

ceramics<br />

Al 2 O 3<br />

Nylons<br />

PSI<br />

PS EP PVC PC<br />

HIPS<br />

PMMA HDPE<br />

Woods<br />

⊥ to<br />

grain<br />

Mo<br />

alloys<br />

Tool<br />

MgO steel<br />

-PSZ Zn<br />

alloys Al<br />

Mg<br />

alloys<br />

∆K th =1<br />

Klc<br />

alloys<br />

Engineering<br />

polymers<br />

Ni<br />

alloys<br />

C- S-<br />

steels Ti steels<br />

alloy<br />

Cu<br />

alloy<br />

steels<br />

Alloy<br />

PU<br />

10 –1 PH NR<br />

Filled<br />

BR<br />

Elastomers<br />

10 –2<br />

Fatigue<br />

sensitive<br />

materials<br />

(notched)<br />

10 –1<br />

Engineering<br />

alloys<br />

10 –2<br />

10 –3 10 –2 10 –1 1 10 10 2 10 1<br />

Fracture toughness K fe (MPa m 1/2 )<br />

2.20 Threshold stress intensity range versus fracture toughness of<br />

<strong>engineering</strong> materials.<br />

monitored as a function of the instantaneous value of the stress intensity.<br />

Cracked specimens are tested in Mode I (crack opening mode) and, in general,<br />

the data are represented on plots of log da/dt versus K in the <strong>for</strong>m shown<br />

schematically in Fig. 2.21.<br />

Three distinct crack growth regimes are shown (though all may not be<br />

present in a given material). In region I, da/dt is strongly dependent on K<br />

and, in some materials, the slope of this part of the curve is so steep that a<br />

value K I EAC may be defined, i.e. a level of K I below which da/dt becomes<br />

vanishingly small.<br />

In region II, the rate of crack growth appears to be relatively independent<br />

of the prevailing level of K. The crack extension rate is still strongly dependent<br />

on the temperature, pressure and the environment, however. Finally, in region<br />

III, da/dt is strongly K-dependent and, eventually, the crack grows unstably<br />

as K approaches K Ic .

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