In this second edition several new topics of technological interest
have been added. These include: coupled mechanical and
nonmechanical overall properties of heterogeneous piezoelectric
materials, new upper and lower bounds for these coupled properties,
a systematic comparison between the average-field theory and the
results obtained using multi-scale perturbation theory, an account
of the uniform-field theory, improveable bounds on overall moduli
of heterogeneous materials which remain finite even when isolated
cavities and rigid inclusions are present, and a brief account of a
fundamental duality principle in anisotropic elasticity. In
addition, better explanations of a number of topics are given, more
recent references are added, the Subject Index has been expanded
and printing and typographical errors have been corrected.
The material is organized into two parts preceded by a precis. Part
1 consists of four chapters which are organized into fourteen
sections and four appendixes. It deals with materials with
microdefects such as cavities, cracks, and inclusions, as well as
with elastic composites. Part 2 consists of two chapters which are
divided into seven sections. It provides an introduction to the
theory of linear elasticity, added to make the book self-contained,
since linear elasticity serves as the basis of the development of
small-deformation micromechanics.
Part 2 mainly contains part of the lecture notes on elasticity
which the first author wrote in the late 1960's. The material is
mostly standard, given for background information.
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