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Because heterogeneous materials can be designed to
exhibit the best characteristics of their individual
constituents, they are ideally suited to modern
technologies that require materials with an unusual
combination of properties. The study presented in
the current work is aimed to approach effective
electrical conductivity of various random
heterogeneous materials. It starts with the
description of a type of modern material with
specific morphology. Percolation theory and finite
element analysis are used in computations and
comparison with experimental results is provided. To
understand difficulties with classical approaches,
next a two-component composite material on a lattice
is studied, followed by discoveries in the
electrical field properties. Finally, a new
algorithm is suggested, which can be used to find
effective properties for any arbitrary morphology.
Material covered in this book will be of interest to
graduate students and researchers who work on the
front edge of physics, materials science,
engineering and applied mathematics. All necessary
derivations and definitions are included to make the
book self-contained and approachable.
exhibit the best characteristics of their individual
constituents, they are ideally suited to modern
technologies that require materials with an unusual
combination of properties. The study presented in
the current work is aimed to approach effective
electrical conductivity of various random
heterogeneous materials. It starts with the
description of a type of modern material with
specific morphology. Percolation theory and finite
element analysis are used in computations and
comparison with experimental results is provided. To
understand difficulties with classical approaches,
next a two-component composite material on a lattice
is studied, followed by discoveries in the
electrical field properties. Finally, a new
algorithm is suggested, which can be used to find
effective properties for any arbitrary morphology.
Material covered in this book will be of interest to
graduate students and researchers who work on the
front edge of physics, materials science,
engineering and applied mathematics. All necessary
derivations and definitions are included to make the
book self-contained and approachable.