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Characterization and control of the fiber-matrix interface in ceramic ...

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32<br />

re<strong>in</strong>forcement w Lll be lost. 'The ideal situation is one <strong>in</strong> which Aa = 0<br />

or is slightly positive, <strong>the</strong>refore ensur<strong>in</strong>g <strong>in</strong>terfacial friction <strong>and</strong><br />

efficient load transfer (Figure 5.3).<br />

For Aa > 0, <strong>the</strong> expansion <strong>of</strong> <strong>the</strong><br />

<strong>fiber</strong>s must be less than <strong>in</strong> <strong>the</strong> <strong>matrix</strong> (crf < a,), but this condition will<br />

place <strong>the</strong> <strong>matrix</strong> <strong>in</strong> tension. Recall<strong>in</strong>g that <strong>the</strong> <strong>the</strong>rmally <strong>in</strong>duced stra<strong>in</strong><br />

cannot exceed <strong>the</strong> ultimate stra<strong>in</strong> <strong>of</strong> <strong>the</strong> <strong>matrix</strong>, <strong>the</strong> m<strong>in</strong>imum value <strong>of</strong> af<br />

is restricted to<br />

where emu is <strong>the</strong> failure stra<strong>in</strong> <strong>of</strong> <strong>the</strong> <strong>matrix</strong>. Therefore, <strong>the</strong> <strong>the</strong>rmal<br />

expansion coefficient <strong>of</strong> <strong>the</strong> <strong>fiber</strong>s must be <strong>in</strong> <strong>the</strong> range<br />

to produce a useful Composite material.<br />

5.4 Thermochemical Considerations<br />

Chemical reactions at <strong>the</strong> <strong>fiber</strong>-<strong>matrix</strong> <strong><strong>in</strong>terface</strong> have been shown to<br />

play a major role <strong>in</strong> reduc<strong>in</strong>g <strong>the</strong> strength <strong>of</strong> a composite. The formation<br />

<strong>of</strong> brittle zones <strong>in</strong> <strong>ceramic</strong> <strong>fiber</strong>-re<strong>in</strong>forced metal-<strong>matrix</strong> composites<br />

generally decreases <strong>the</strong> strength <strong>of</strong> <strong>the</strong> material. Oxidation<br />

embrittlement has been noted <strong>in</strong> glass-<strong>matrix</strong> composites conta<strong>in</strong><strong>in</strong>g<br />

untreated Sic <strong>fiber</strong>s (19,20,63,64).<br />

Short-term exposure <strong>of</strong> <strong>ceramic</strong><br />

<strong>fiber</strong>-re<strong>in</strong>forced glasses to elevated temperatures <strong>in</strong> air resulted <strong>in</strong><br />

<strong>in</strong>creased <strong>fiber</strong>-<strong>matrix</strong> bond<strong>in</strong>g <strong>and</strong>, ultimately, brittle behavi-or upon<br />

test<strong>in</strong>g at room temperature.

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