Access Type

Open Access Dissertation

Date of Award

January 2018

Degree Type

Dissertation

Degree Name

Ph.D.

Department

Mechanical Engineering

First Advisor

Victor Berdichevsky

Abstract

Probability distributions of electric …field and electric potential in two-phase particulate composite materials with spherical inclusions are found in the limit of small particle concentration. Additionally a method for the approximation of local fields within random statistically isotropic composites with a …finite number of …field ‡fluctuations which retain potentiality is presented and an approximate solution with the

variational principal for homogenization in statistical terms for three ‡fluctuations within one phase and a homogeneous second phase is found.

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