Reference: R.T. Coverdale, E.J. Garboczi, and H.M. Jennings, Computational
Materials Science 3, 465-474 (1995).
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Master Builders, Inc.
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National Institute of Standards and Technology
Building and Fire Research Laboratory
Building Materials Division 226/B348
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A numerical method for simulating the frequency-dependent impedance response of multi-phase
composite materials has been developed. The algorithm takes as input 1) a digital image of a
microstructure, in two or three dimensions, of any specified composite material, and 2) the
frequency-dependent electrical properties of the individual phases of the composite. An
impedance spectrum of any frequency range can then be computed using a conjugate gradient
algorithm operating on a finite difference solution scheme of Laplace's equation. Examples are
given of the impedance of analytically solvable microstructures, to validate the algorithm, and of a
random system, to test the usefulness of two different effective medium theories.