ABSTRACT
Systems are viewed as collection of countable/uncountable components that have random properties and interact with each other. Effective mechanical properties for parallel and series systems are first established. A method is then developed for estimating the effective conductivity for two-phase and other random heterogeneous microstructures. The analysis is based on probabilistic models for the microstructure conductivity and a local solution for partial differential equations. The proposed method of analysis is illustrated by numerical examples.
