Spatial distribution of aligned short fibers in cement composites

The effect of fiber length on the mechanical properties of extruded cement- based polyvinyl alcohol fiber composites is strongly associated with the di stribution of the fibers in the material. Statistical methods from the theo ry of point processes can be used to describe these patterns by straightfor ward and easily calculated statistics. The intensity of the fibers in diffe rent parts of a sample yields a general description of the fiber pattern, b ut the effects of length are expressed through second-moment measures that are found to he distinct for different fiber lengths and that are strongly associated with material properties.