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A Model for the Electrical Conductivity of a Mixed Computational Cell

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Technical Report,01 Oct 2019,30 Apr 2020

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CCDC Army Research Laboratory Aberdeen Proving Ground United States

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A model is formulated to describe the electrical conductivity of a mixed computational cell with an arbitrary number of material species. The method treats a mixed cell as a network of linkages, in which the random distribution of different linkages throughout the network corresponds to the volume fractions of the different species composing the mixed cell. The proposed method relies on the probabilistic likelihood of connectivity across the cell, when considering electrical pathways composed of different combinations of the material species present in the cell. The contribution to the overall electrical conductivity for each material species combination is estimated by considering both the conductivity of pathways composed of that species combination, as well as the likelihood that any given electrical pathway will be composed of that species combination.

Subject Categories:

  • Electricity and Magnetism
  • Operations Research

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