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    Book and Conference Proceedings

    Continuum Models and Discrete Systems

    David J. Bergman, Esin Inan in NATO Science Series (2004)

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    Chapter and Conference Paper

    Mixed Transfer-Matrix Method for Computing the Macroscopic Conductivity of Three-Constituent Extreme Networks: Mixtures of Normal Conductor, Perfect Insulator, and Perfect Conductor

    We develop a transfer-matrix formulation to compute the conductivity of a normal conductor/perfect insulator/perfect conductor random network, and apply this approach in simulations of two-dimensional and thre...

    **angting Li, David J. Bergman in Continuum Models and Discrete Systems (2004)

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    Chapter and Conference Paper

    Simple Algebraic Approximations for The Effective Elastic Moduli of a Cubic Array of Spheres

    The method of elastostatic resonances [1] is applied to the three-dimensional problem of nonoverlap** spherical inclusions arranged in a cubic array in order to calculate the effective elastic moduli. The le...

    Israel Cohen, David J. Bergman in Continuum Models and Discrete Systems (2004)

  4. No Access

    Chapter and Conference Paper

    Exact Relations Between Critical Exponents for Elastic Stiffness and Electrical Conductivity of Percolating Networks

    The exponents which describe the critical behavior of the macroscopic elastic stiffness moduli (T, S) and the macroscopic electrical conductivity (t, s) of a two-constituent composite near a percolation threshold...

    David J. Bergman in Continuum Models and Discrete Systems (2004)

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    Chapter and Conference Paper

    Exact Relations between Macroscopic Moduli of Composite Media in n Dimensions

    Generic n-dimensional (nD) exact relations are found between macroscopic or bulk effective moduli of composite systems with related microstructures. These relations can be established between effective values ...

    Yakov M. Strelniker, David J. Bergman in Continuum Models and Discrete Systems (2004)