Linear Elastic Waves

John G. Harris (Northeastern Illinois University)

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English

Cambridge University Press
07 January 2002

Mathematics & Sciences; Maths for scientists; Classical mechanics

Series: Cambridge Texts in Applied Mathematics

Wave propagation and scattering are among the most fundamental processes that we use to comprehend the world around us. While these processes are often very complex, one way to begin to understand them is to study wave propagation in the linear approximation. This is a book describing such propagation using, as a context, the equations of elasticity. Two unifying themes are used. The first is that an understanding of plane wave interactions is fundamental to understanding more complex wave interactions. The second is that waves are best understood in an asymptotic approximation where they are free of the complications of their excitation and are governed primarily by their propagation environments. The topics covered include reflection, refraction, the propagation of interfacial waves, integral representations, radiation and diffraction, and propagation in closed and open waveguides. Linear Elastic Waves is an advanced level textbook directed at applied mathematicians, seismologists, and engineers.

By: John G. Harris (Northeastern Illinois University)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 26
Dimensions: Height: 226mm, Width: 150mm, Spine: 13mm
Weight: 258g
ISBN: 9780521643832
ISBN 10: 052164383X
Series: Cambridge Texts in Applied Mathematics
Pages: 180
Publication Date: 07 January 2002
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

1. Simple wave solutions; 2. Kinematical descriptions of waves; 3. Reflection, refraction and interfacial waves; 4. Green's tensor and integral representations; 5. Radiation and diffraction; 6. Guided waves and dispersion.

Reviews for Linear Elastic Waves

'Students of seismology have their choice of many excellent texts to help them in this regard. Linear Elastic Waves is an excellent sequel to them.' Justin Revenaugh, University of California '... the present volume is an excellent textbook for a deeper understanding of waves in linear elasticity.' Zentralblatt MATH '... it is with small wonder that we find a whole host of books devoted to the foundations and applications of wave theory ... the advanced researcher, the post-doctoral students, and all wave enthusiasts will profit from reading this book, whose elegance of presentation holds some fascination for the insider.' Waves In Random Media 'I think it is an excellent text and would recommend it to anyone wishing to learn basic linear wave theory or elastic waves in particular.' R. S. Mackay, Contemporary Physics ' ... the advanced researcher, the post-doctoral student, and all wave enthusiasts will profit from reading this book'. Institute of Physics Publishing, Waves in Random Media 'The book is very well written ... The reviewer would highly recommend this book to researchers and advanced students in applied mathematics, engineering, physics and geology.' Journal of Sound and Vibration