26.03.2017 Views

Materials for engineering, 3rd Edition - (Malestrom)

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

170<br />

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

Crazes are a <strong>for</strong>m of highly localized yielding and often start from scratches<br />

on the specimen surface. The growth of a craze occurs by the extension of its<br />

tip into uncrazed material. They are regions of cavitated material, bridged by<br />

drawn and oriented polymer ‘fibrils’ of approximately 20 µm diameter, as<br />

indicated in the sketch of Fig. 5.7. The craze thickens by lengthening of the<br />

fibrils. The yielding is thus localized into these crack-shaped regions, being<br />

constrained by the surrounding unde<strong>for</strong>med solid, giving rise to the presence<br />

of local hydrostatic tensile stresses. The voids are interconnected, being<br />

typically 10–20 nm is size, lying between the oriented fibrils, so that the<br />

density of the craze is only about half of that associated with the uncrazed<br />

matrix. Crazing thus results in an overall increase in volume of a polymer<br />

which yields in this way.<br />

The criterion <strong>for</strong> the nucleation of a craze in a three-dimensional stress<br />

state is of the <strong>for</strong>m:<br />

σ<br />

max<br />

Ω1<br />

( T )<br />

– σ min ≥Λ( T ) +<br />

σ<br />

H<br />

where σ max and σ min are maximum and minimum principal stresses,<br />

respectively, Λ(T) and Ω 1 (T) are material constants, which depend on the<br />

temperature, and σ H is the hydrostatic stress.<br />

Crazes grow slowly at first and absorb considerable amounts of energy,<br />

although they contribute towards an overall weakening of the material. They<br />

eventually turn into true cracks which propagate rapidly.<br />

Brittle fracture<br />

Brittle fracture is often observed in plastics and, in common with other<br />

Craze<br />

5.7 Crazing in a linear polymer: strong strands bridge the microcrack.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!