Modeling the electrical properties of three-dimensional printed meshes with the theory of resistor lattices

Alexander Melnikov, Mikhail Shuba, Philippe Lambin

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    Abstract

    The electrical properties of conducting meshes are investigated numerically by solving the related Kirchhoff equations with Lanczos algorithm. The method is directly inspired by the recursion technique widely used to study the electronic and vibrational spectra of solids. The method is demonstrated to be very efficient and fast when applied to resistor networks. It is used to calculate equivalent resistances between arbitrary pairs of nodes in simple resistive lattices. When the resistance fluctuates statistically from bond to bond, the method makes it possible to evaluate the fluctuations of the electrical properties of the network. It is also employed to assign an effective bulk resistivity to a discrete conducting 3D mesh.
    Original languageEnglish
    Article number043307
    Pages (from-to)043307
    Number of pages16
    JournalPhysical Review E
    Volume97
    Issue number4
    DOIs
    Publication statusPublished - 17 Apr 2018

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