In recent times, the use of composites and functionally graded
materials (FGMs) in structural applications has increased. FGMs
allow the user to design materials for a specified functionality
and therefore have numerous uses in structural engineering.
However, the behaviour of these structures under high-impact
loading is not well understood. Spectral Finite Element Method:
Wave Propagation, Health Monitoring and Control in Composite and
Functionally Graded Structures focuses on some of the wave
propagation and transient dynamics problems with this complex media
which had previously been thought unmanageable.
By using state-off-the-art computational power, the Spectral
Finite Element Method (SFEM) can solve many practical engineering
problems. This book is the first to apply SFEM to inhomogeneous and
anisotropic structures in a unified and systematic manner. The
authors discuss the different types of SFEM for regular and damaged
1-D and 2-D waveguides, various solution techniques, different
methods of detecting the presence of damages and their locations,
and different methods available to actively control the wave
propagation responses. The theory is supported by tables, figures
and graphs; all the numerical examples are so designed to bring out
the essential wave behaviour in these complex structures. Some case
studies based on real-world problems are also presented.
This book is intended for senior undergraduate students and
graduate students studying wave propagation in structures, smart
structures, spectral finite element method and structural health
monitoring. Readers will gain a complete understanding of how to
formulate a spectral finite element; learn about wavebehaviour in
inhomogeneous and anisotropic media; and, discover how to design
some diagnostic tools for monitoring the health or integrity of a
structure. This important contribution to the engineering mechanics
research community will also be of value to researchers and
practicing engineers in structural integrity.
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