This book aims to provide a comprehensive introduction to the
theory and applications of the mechanics of transversely isotropic
elastic materials. There are many reasons why it should be written.
First, the theory of transversely isotropic elastic materials is an
important branch of applied mathematics and engineering science;
but because of the difficulties caused by anisotropy, the
mathematical treatments and descriptions of individual problems
have been scattered throughout the technical literature. This often
hinders further development and applications. Hence, a text that
can present the theory and solution methodology uniformly is
necessary. Secondly, with the rapid development of modern
technologies, the theory of transversely isotropic elasticity has
become increasingly important. In addition to the fields with which
the theory has traditionally been associated, such as civil
engineering and materials engineering, many emerging technologies
have demanded the development of transversely isotropic elasticity.
Some immediate examples are thin film technology, piezoelectric
technology, functionally gradient materials technology and those
involving transversely isotropic and layered microstructures, such
as multi-layer systems and tribology mechanics of magnetic
recording devices. Thus a unified mathematical treatment and
presentation of solution methods for a wide range of mechanics
models are of primary importance to both technological and economic
progress.
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