Linear Elastic Waves

An advanced level textbook on wave propagation and scattering directed at applied mathematicians, seismologists, and engineers.

John G. Harris (Author)

9780521643832, Cambridge University Press

Paperback, published 6 August 2001

180 pages, 34 b/w illus.
22.6 x 15 x 1.3 cm, 0.258 kg

'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

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.

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.

Subject Areas: Mechanical engineering [TGB], Geology & the lithosphere [RBG], Applied mathematics [PBW]