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

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34<br />

The selection <strong>of</strong> <strong>the</strong> co<strong>in</strong>ponents <strong>of</strong> a composite is <strong>in</strong>itially based on<br />

mechanical. <strong>and</strong> physical properties <strong>of</strong> <strong>the</strong> <strong>in</strong>dividual constituents. When<br />

<strong>the</strong> materials are cornbi-ned to form a composite, <strong>the</strong> system generally will.<br />

not be at <strong>the</strong>rmodynamic equilibrium, <strong>and</strong> thus, a driv<strong>in</strong>g force to change<br />

<strong>the</strong> system exists. Thermodynamic data <strong>and</strong> calculations allow prediction<br />

<strong>of</strong> <strong>the</strong> f<strong>in</strong>al equilibrium state <strong>of</strong> <strong>the</strong> composite material. These<br />

calculations can also be used to determ<strong>in</strong>e possible <strong>in</strong>teractions that may<br />

occur between components dur<strong>in</strong>g process<strong>in</strong>g.<br />

At relatively high temperatures (> 1000 K), chemical reactions<br />

proceed rapidly <strong>and</strong> <strong>the</strong> equilibrium state is atta<strong>in</strong>ed <strong>in</strong> a relatively<br />

short <strong>the</strong>.<br />

Equi.1.i.brium conditions can be predicted by employ<strong>in</strong>g basic<br />

<strong>the</strong>rmodynamic concepts to detc?rmi.ne <strong>the</strong> compositional state <strong>of</strong> a given<br />

system hav<strong>in</strong>g <strong>the</strong> m<strong>in</strong>imum free energy (65).<br />

Nu<strong>in</strong>erous phases wi.11 be<br />

present <strong>in</strong> a system at elevated temperatures; <strong>the</strong>refore, <strong>the</strong> numerical<br />

analysis becomes extremely complicated.<br />

Computer programs have been<br />

developed to simplify <strong>the</strong> analytical process.<br />

The majority <strong>of</strong> <strong>the</strong> codes<br />

are based on SOLGAS, a program created to exam<strong>in</strong>e systems conta<strong>in</strong><strong>in</strong>g<br />

gaseous <strong>and</strong> pure condensed phases (65).<br />

SOLGAS has been modified to<br />

<strong>in</strong>clude pure solids, liquids, <strong>and</strong> gases <strong>and</strong> condensed phase solutions.<br />

The program has evolved over <strong>the</strong> years <strong>in</strong>to SOLGASMIX (06,67), which has<br />

<strong>the</strong> ability to perform <strong>the</strong> calculations necessary to exam<strong>in</strong>e numerous<br />

comb<strong>in</strong>ations <strong>of</strong> compounds <strong>and</strong> system conditions <strong>of</strong> temperature, pressure,<br />

or volume.<br />

K<strong>in</strong>etic data <strong>in</strong>clud<strong>in</strong>g diffusivities are equally as important <strong>in</strong> <strong>the</strong><br />

analysis because <strong>the</strong>se can be used to predict <strong>the</strong> rate at which <strong>the</strong><br />

system will change (68-70). It is obvious that chemical <strong>in</strong>teractions

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