Abstract
An investigation was conducted in order to determine the viability of using two-point probability distribution functions to predict the material properties of two-phase heterogeneous materials. The material of interest in this investigation was Titanium Diboride/Alumina ceramic (TiB 2 + Al 2O 3). In TiB 2 + Al 2O 3 ceramics, it has been noted that the connectivity of the TiB 2 second phase plays a major role in the mechanical properties of the TiB 2 + Al 2O 3 ceramic, spall strength in particular. Two-point distribution functions were obtained for the four types of microstructures of TiB 2 + Al 2O 3 and were compared to experimental results that have been previously reported. The two-point distribution functions showed very good correlation to connectivity and spall strength results.
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