Spectral Finite Element Method

Wave Propagation, Diagnostics and Control in Anisotropic and Inhomogeneous Structures

  • S. Gopalakrishnan
  • A. Chakraborty
  • D. Roy Mahapatra

Part of the Computational Fluid and Solid Mechanics book series (COMPFLUID)

About this book


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 behavior of these structures under high-impact loading is not well understood. Spectral Finite Element Method: Wave Propagation, Diagnostics and Control in Anisotropic and Inhomogeneous Structures focuses on some of the wave propagation and transient dynamics problems with these complex media which had previously been thought unmanageable.

By using state-of-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 designed to bring out the essential wave behavior 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 wave behavior in inhomogeneous and anisotropic media; and, discover how to design some diagnostic tools for monitoring the health or integrity of a structure. The book will also be of value to researchers and practicing engineers in structural integrity.


Active Control Composites Spectral Element Structural Health Monitoring Wave Propagation engineering mechanics mechanics structure

Authors and affiliations

  • S. Gopalakrishnan
    • 1
  • A. Chakraborty
    • 2
  • D. Roy Mahapatra
    • 1
  1. 1.Department of Aerospace EngineeringIndian Institute of Science C.V Raman AvenueBangaloreIndia
  2. 2.General Motors IndiaBangaloreIndia

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag London Limited 2008
  • Publisher Name Springer, London
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-1-84628-355-0
  • Online ISBN 978-1-84628-356-7
  • Series Print ISSN 1860-482X
  • Buy this book on publisher's site
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