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Book and Conference Proceedings
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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...
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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...
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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...
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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 ...