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Developments in Ceramic Materials Research

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Model<strong>in</strong>g of Thermal Transport <strong>in</strong> <strong>Ceramic</strong>s Matrix Composites 175<br />

But first, for each porosity classification, f<strong>in</strong>ite element analysis techniques are used to<br />

quantify the effect of each class of porosity on the spatial heat transport properties assessed at<br />

the level of a micro Unit Cell. In the analysis care is taken to accurately model porosity<br />

volume fractions and characteristic defect lengths. However, thermal properties determ<strong>in</strong>ed<br />

us<strong>in</strong>g one model is <strong>in</strong>cluded <strong>in</strong> subsequent models. It is <strong>in</strong> this way that the synergy between<br />

different classes of porosity is assessed.<br />

The two CMC materials used for model<strong>in</strong>g here are: (1) DLR-XT, a [0/90] pla<strong>in</strong> weave<br />

lam<strong>in</strong>ate, and (2) HITCO, a complex 8-Sat<strong>in</strong> Weave CMC. Geometric models for both are<br />

built from SEM Micrographs. For DLR-XT a Unit Cell model is built us<strong>in</strong>g 4 quarter parts<br />

which assemble together to form the Unit Cell with fibre tows and matrix together. In<br />

contrast, the Hitco Unit Cell is created as a s<strong>in</strong>gle part s<strong>in</strong>ce this Representative Volume<br />

Element (RVE) is the smallest and unique geometric entity that cannot be further simplified.<br />

For the thermal characterization of the two chosen materials through extensive f<strong>in</strong>ite<br />

element modell<strong>in</strong>g, two thermal properties are evaluated us<strong>in</strong>g steady-state and transient<br />

analysis respectively. First is Thermal conductivity which is one of the driv<strong>in</strong>g forces <strong>in</strong><br />

design<strong>in</strong>g materials for thermal applications. The other is thermal diffusivity, which is an<br />

important parameter for controll<strong>in</strong>g thermal transport, def<strong>in</strong>ed as the ratio of a material’s<br />

capacity to conduct heat versus its capacity to store it. Experimental work is conducted for<br />

validation purposes by mak<strong>in</strong>g thermal diffusivity measurement by the laser flash method [8].<br />

The materials are thermally analysed with and without the external mechanical load <strong>in</strong> order<br />

to establish a correlation between the mechanical damage on a CMC caus<strong>in</strong>g degradation of<br />

its thermal diffusivity.<br />

With the <strong>in</strong>crease <strong>in</strong> the geometric complexity of the CMCs, the requirement of the<br />

comput<strong>in</strong>g resources rises considerably. This is reiterated by the current model<strong>in</strong>g effort with<br />

HITCO 8-harness sat<strong>in</strong> weave geometry. It is shown that with the multiplication of the Unit<br />

Cell (each conta<strong>in</strong><strong>in</strong>g around a million elements) across the lam<strong>in</strong>a and then the lam<strong>in</strong>ate,<br />

demand for computational power <strong>in</strong>creases drastically. Special arrangement is therefore<br />

required for conduct<strong>in</strong>g analysis of such large FE models. The solution is shown here to be<br />

the use parallel processors <strong>in</strong> a High Performance Comput<strong>in</strong>g (HPC) environment.<br />

2. CERAMIC MATRIX COMPOSITES (CMCS)<br />

Generally, ceramics cover a wide variety of non-metallic, <strong>in</strong>organic compounds that are<br />

frequently processed at high temperatures. Start<strong>in</strong>g compounds of ceramics can be borides,<br />

carbides, nitrides, oxides, silicides, phosphides, chalcogenides and their complex compounds,<br />

both natural and synthetic [9]. Compared to metals these compounds have higher melt<strong>in</strong>g<br />

temperatures, elastic moduli and hardness, and lower densities, and electrical and thermal<br />

conductivities.<br />

<strong>Ceramic</strong>s can be broadly grouped <strong>in</strong>to two classes, namely, conventional ceramics and<br />

high performance ceramics. Technical ceramics, which are employed for the fabrication of<br />

CMCs, exhibit extraord<strong>in</strong>ary resistance to heat, chemicals and wear [10].<br />

Fibres used <strong>in</strong> ceramic matrix composites fall <strong>in</strong>to three general categories based on their<br />

diameter: monofilaments, textile fibres and whiskers. In addition, re<strong>in</strong>forcements <strong>in</strong> the form<br />

of particulates and platelets are also be<strong>in</strong>g utilised <strong>in</strong> ceramic composite designs. In ceramic

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