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This edited work covers piezoelectric materials in the form of
beams, plates, shells, and other structural components in modern
devices and structures. Applications are frequency control and
detection functions in resonators, sensors, actuators,
oscillations, and other smart and intelligent structures. The
products and technology are with us in our daily life through
computers and communication devices. The contributions cover novel
methods for the analysis of piezoelectric structures including wave
propagation, high frequency vibration, material characterization,
and optimization of structures. Understanding of these methods is
increasingly important in the design and modelling of next
generation devices and micro-structures with piezoelectric elements
and effects.
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.
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.
This book reviews research results in the field of mechanics
research. Also discussed herein are the most important areas in the
mechanics of functionally graded materials and structures,
including the analytical and the semi-analytical solutions of
functionally graded beams, plates and shells as well as their
simplified theories, fracture analysis of functionally graded
materials, a micro-element method for the macro-micro scale
analysis and the optimal design of functionally graded structures.
This book presents basic theory on static Green's functions in
general anisotropic magnetoelectroelastic media including detailed
derivations based on the complex variable method, potential method,
and integral transforms. Green's functions corresponding to the
reduced cases are also presented including those in anisotropic and
transversely isotropic piezoelectric and piezomagnetic media, and
in purely anisotropic elastic, transversely isotropic elastic and
isotropic elastic media. Problems include those in
three-dimensional, (two-dimensional) infinite, half, and
biomaterial spaces (planes). While the emphasis is on the Green's
functions related to the line and point force, those corresponding
to the important line and point dislocation are also provided and
discussed. This book provides a comprehensive derivation and
collection of the Green's functions in the concerned media, and as
such, it is an ideal reference book for researchers and engineers,
and a textbook for both students in engineering and applied
mathematics.
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