Computational Fluid and Solid Mechanics

Spectral Finite Element Method

Wave Propagation, Diagnostics and Control in Anisotropic and Inhomogeneous Structures

Authors: Gopalakrishnan, Srinivasan, Chakraborty, Abir, Roy Mahapatra, Debiprosad

  • First to apply SFEM to inhomogeneous and anisotropic structures in a unified and systematic manner
  • Readers will gain a complete understanding of how to formulate Spectral Finite Element; learn about wave behaviour in inhomogeneous and anisotropic media; and, be able to design some diagnostic tools for monitoring the health of a structure
  • 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
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eBook $189.00
price for USA (gross)
  • ISBN 978-1-84628-356-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.00
price for USA
  • ISBN 978-1-84628-355-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $249.00
price for USA
  • ISBN 978-1-84996-587-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

About the authors

Prof. S. Gopalakrishnan is an Associate Professor at the Indian Institute of Science, Bangalore, India. He has a decade of experience in applying wave based techniques for solving various structural engineering related problems. He is internationally recognized as one of the experts in the field, and is one of the few people responsible for popularizing the use of SFEM through his research publications and presentations.

Dr A. Chakraborty is a Senior Researcher at General Motors India.

Dr Roy Mahapatra is an Assistant Professor at the Indian Institute of Science, Bangalore, India. His research activities are related to the mechanics and dynamics of solid-state engineering materials and structures, and the study of complex systems.

Reviews

From the reviews:

"The book deals with wave propagation and related problems of identification and control for anisotropic composites with particular emphasis on laminated and graded structures. It is intended for graduate and senior undergraduate students and researchers in engineering disciplines. … The book presents some interesting results in material sciences. The researchers in this area will find it useful in a number of applications." (Fiazud Din Zaman, Zentralblatt MATH, Vol. 1145, 2008)


Table of contents (11 chapters)

  • Introduction

    Pages 1-22

  • Introduction to the Theory of Anisotropic and Inhomogeneous Materials

    Pages 23-39

  • Idealization of Wave Propagation and Solution Techniques

    Pages 41-54

  • Wave Propagation in One-dimensional Anisotropic Structures

    Pages 55-122

  • Wave Propagation in One-dimensional Inhomogeneous Structures

    Pages 123-169

Buy this book

eBook $189.00
price for USA (gross)
  • ISBN 978-1-84628-356-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.00
price for USA
  • ISBN 978-1-84628-355-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $249.00
price for USA
  • ISBN 978-1-84996-587-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Spectral Finite Element Method
Book Subtitle
Wave Propagation, Diagnostics and Control in Anisotropic and Inhomogeneous Structures
Authors
Series Title
Computational Fluid and Solid Mechanics
Copyright
2008
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-84628-356-7
DOI
10.1007/978-1-84628-356-7
Hardcover ISBN
978-1-84628-355-0
Softcover ISBN
978-1-84996-587-3
Series ISSN
1860-482X
Edition Number
1
Number of Pages
XIV, 440
Number of Illustrations and Tables
274 b/w illustrations
Topics