Abstract of the paper ``Estimating effective moduli of composites using quantitative image analysis''
The statistical data required for quantitative analysis of the physical
properties of composite materials may be obtained using digital image
processing techniques.
This approach allows accurate quantitative determination of volume fraction
data, of interface area per unit volume, and of more sophisticated measures
of the microgeometry of material mixtures including the n-point spatial
correlation functions. The two- and three-point correlation functions
can be measured quite accurately both for synthetic materials and for real
materials such as porous sandstones. To extract the desired parameters of the
microgeometry from the three-point correlation functions, methods of
interpolating and integrating these lattice-based empirical values have been
developed. Methods of finessing the theory to give estimates of physical
properties when the available data are not adequate to permit use of the full
theory have also been developed.
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