By M. A. Taha, N. A. El-Mahallawy
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Extra resources for Advances in metal matrix composites : proceedings of an International meeting
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Fig. 20. Comparison of Q-1 and (f/f0)2 vs. T trends of composite (f0 = 898 Hz) and monolithic alloy. The composite spectrum is the superposition of a Debye peak and an exponential background. The IF spectrum vs. temperature T can be fitted by the sum of two contributions: an exponential curve for the background, QB−1 (T), and a single Debye peak, QP−1 (T): Q −1 (T ) = QB−1 (T ) + QP−1 (T ) = QB−1 (T ) + ∆ H sec h 2 R 1 1 − T TP (6) 40 Advances in Metal Matrix Composites being ∆/2 the peak maximum, H the activation energy of the physical process giving rise to the IF peak, R the gas constant and TP the temperature of peak centre.
Further reductions of computing time can be achieved by using of geometric symmetries. Self consistent unit cells (Fig. 1) extend this approach by enclosing the inclusion and the matrix, which form the inner cell, with an outer surrounding homogenized material. The mechanical properties of the embedding composite are computed through an iterative approach to the behaviour of the inner cell. Therefore, the elastic-plastic behaviour of the homogenised material can be calculated. Unmodified unit cell models can be applied for all sizes and shapes of reinforcement phases above a size of two microns.
Advances in metal matrix composites : proceedings of an International meeting by M. A. Taha, N. A. El-Mahallawy