Composite and heterogeneous materials play an important role in
modern material engineering and technology. This volume is devoted
to the theory of such materials. Static elastic, dielectric,
thermo- and electroconductive properties of composite materials
reinforced with ellipsoidal homogeneous and multi-layered
inclusions, short and long multi-layered fibers, thin hard and soft
inclusions, media with cracks and pores are considered.
Self-consistent methods are used as the main theoretical tool for
the calculation of static and dynamic properties of heterogeneous
materials. This book is the first monograph to develop
self-consistent methods and apply these to the solution of problems
of electromagnetic and elastic wave propagation in matrix
composites and polycrystals. Predictions of the methods are
compared with experimental data and exact solutions. Explicit
equations and efficient numerical algorithms for the calculation of
velocities and attenuation coefficients of the mean (coherent) wave
fields propagating in composites and polycrystals are
presented.
The book helps materials engineers to predict properties of
heterogeneous materials and to create new composite materials which
physical properties are optimal to the exploitation conditions. The
results of the book are useful for scholars who work on the theory
of composite and heterogeneous media.
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