Developments in Ceramic Materials Research

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206 M. A. Sheik exceeds 1 Million in the HITCO Unit Cell model. Moreover, the real simulation for HITCO samples may definitely involve the analysis of a full laminate such as the one formed at the end in Figure 27. This would mean the multiplication of element count for a single RVE Unit Cell with the total number of Unit Cells used to form the laminate, e.g., 18 from the example shown in Figure 27. It is emphasized here that even in the presence of a much more powerful PC - 3 GHz, single processor, 1GB physical memory - a thermal analysis with just two Unit Cells joined together has not been successful, clearly exhibiting the limitation of a single processor PC when ABAQUS/CAE [18] is conducting a simple steady-state analysis on such a model. The next option used is an SGI Onyx 300 machine with 32 SGI R14000 MIPS processors running at 600 Megahertz. Each such processor having a peak speed of 1.2 Gigaflops makes the total peak speed of the machine of approx. 38 Gigaflops. But the system is a shared memory machine with 16 Gigabytes of physical memory, permitting both shared memory and distributed memory programming models to all users simultaneously. Although the analyses conducted on this machine have already yielded better memory management scenarios compared to single processor Windows PC, but still certain ABAQUS code limitations regarding thermal analysis mentioned in the software reference documentation has made the scope for speedup gain rather narrow. Proof of this behavior has been seen through initial runs conducted using increasing number of parallel processors. Some trends for ABAQUS and its solver performance are clearly seen in Table 10. Here the comparison is made with tests that were run on the same Unit Cell with a monotonic tensile loading. Increased speed up hints at the advantage gained by the use of multiprocessor platform for the mechanical analysis of HITCO Unit Cell model and larger models are considered to be solved faster here but only in the regime of mechanical loadings. For thermal application simulation, this study suggests that in order to benefit from parallelization which is inevitable therefore crucial for larger models, further investigation are necessary in improving solver performance. This has also led the present study towards another domain of parallelization specially coded for finite element modelling and it is being pursued simultaneously now. Table 10. Speed-up observed for, a comparison (percentage) between 1-D steady-state heat transfer analyses for thermal conductivity measurement and 1-D monotonic tensile loading for determining composite stiffness employing parallel processing Processors Thermal Analysis (%) Mechanical Analysis (%) 2 7 12 4 9 20 8 10 24 5.1. Parallel Processing Results are now presented of thermal analysis of a benchmark heat flow problem, as defined in Figure 34, in a multi-processor environment. Figure 35 shows the analysis speedup against the number of processors with an increasing mesh size.
Modeling of Thermal Transport in Ceramics Matrix Composites 207 Figure 37. A benchmark steady-state thermal problem for parallel processing. Figure 38. Results of scalability studies.
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DEVELOPMENTS IN CERAMIC MATERIALS R
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Copyright © 2007 by Nova Science P
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PREFACE Ceramics are refractory, in
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Preface ix crystals is discussed. A
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Preface xi spectra and the directio
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2 Leslie G. Cecil comprehensive dat
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4 Leslie G. Cecil Ringle et al. (19
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6 Leslie G. Cecil The main architec
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8 Leslie G. Cecil can study “the
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10 Leslie G. Cecil Middleton et al.
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12 Leslie G. Cecil The laser ablate
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14 Leslie G. Cecil There are two ge
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16 Leslie G. Cecil distinct recipes
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18 Leslie G. Cecil second group (Fi
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20 Leslie G. Cecil The Vitzil-Orang
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22 Leslie G. Cecil Table 3. Mahalan
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24 Leslie G. Cecil Ixlú and Ch’i
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26 Leslie G. Cecil structures (D. R
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28 Leslie G. Cecil paste and Macanc
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30 Leslie G. Cecil Bieber, A. M. Jr
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32 Leslie G. Cecil Kepecs, S. M., a
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34 Leslie G. Cecil Schele, L., Grub
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36 Z. C. Li, Z. J. Pei and C. Tread
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54 T. T. Basiev, V. A. Demidenko, K
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62 I, % 100 80 60 40 20 0 T. T. Bas
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68 Fluorescence, a.u. 1 T. T. Basie
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70 Fluorescence, a.u. 1 0.1 0.01 0.
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78 k, cm -1 20 18 16 14 12 10 8 6 4
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82 Photon counts 300 250 200 150 10
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84 Fluorescence, a.u. I transfer ,
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86 ln(I transfer (t)) -4.2 -4.4 -4.
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88 Fluorescence, a.u. I transfer ,
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In: Developments in Ceramic Materia
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Synthesis, Spectroscopic and Magnet
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a c Synthesis, Spectroscopic and Ma
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Transmission Transmission Transmiss
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Sm (J/Kmol) Sm (J/Kmol) 15 10 5 Syn
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Intensity (a.u.) Intensity (a.u.) 8
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In: Developments in Ceramic Materia
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The Use of Ceramic Pots in Old Wors
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3.2. Wall-in Positions The Use of C
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256 Li Chen Figure 9. Life time tes
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258 Figure 11(a). Plasma generated
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260 Li Chen [13] C.A. Spindt, K.R.
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262 S. Ardizzone, C. L. Bianchi, G.
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A absorption spectra, 66, 67, 77, 7
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correlation function, 156 corrosion
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group membership, 13, 20, 21, 22, 2
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microstructure(s), x, xi, 73, 74, 2
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efraction index, 61 refractive inde
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time, vii, ix, 1, 3, 7, 8, 11, 26,
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Developments in Ceramic Materials Research

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