Spectral Finite Element Method: Wave Propagation, Diagnostics and Control in Anisotropic and Inhomogeneous Structures (Computational Fluid and Solid Mechanics) - Hardcover

Gopalakrishnan, Srinivasan; Chakraborty, Abir; Roy Mahapatra, Debiprosad

Hardcover

ISBN 10: 1846283558 ISBN 13: 9781846283550

Publisher: Springer, 2007

Synopsis

This book is the first to apply the Spectral Finite Element Method (SFEM) to inhomogeneous and anisotropic structures in a unified and systematic manner. Readers will gain 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. Tables, figures and graphs support the theory and case studies are included.

About this title

Review:

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)

From the Back Cover:

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 this edition

• Publisher: Springer
• Publication date: 2007
• ISBN 10: 1846283558
• ISBN 13: 9781846283550
• Binding: Hardcover
• Number of pages: 454