Series in Theoretical and Applied Mechanics - Vol. 7
INHOMOGENEOUS WAVES IN SOLIDS AND FLUIDS
by Giacomo Caviglia & Angelo Morro (University of Genova, Italy)
The book may be viewed as an introduction to time-harmonic waves in dissipative bodies, notably viscoelastic solids and fluids. The inhomogeneity of the waves, which is due to the fact that planes of constant phase are not parallel to planes of constant amplitude, is shown to be strictly related to the dissipativity of the medium. A preliminary analysis is performed on the propagation of inhomogeneous waves in unbounded media and of reflection and refraction at plane interfaces. Then emphasis is given to those features that are of significance for applications. In essence, they regard surface waves, scattering by (curved) obstacles, wave propagation in layered heterogeneous media, and ray methods. The pertinent mathematical techniques are discussed so as to make the book reasonably self-contained.
Contents:
- Inhomogeneous Waves
- Modelling of Dissipative Media
- Inhomogeneous
Waves in Unbounded Media
- Reflection and Refraction
- Surface Waves
- Wave Propagation in Multilayered Media
- Scattering by Obstacles
- Perturbation Methods in Heterogeneous Media
- Ray Method for Heterogeneous Dissipative Media
Readership: Graduate students in mechanics, mathematical physics, applied
mathematics, engineers, mathematicians, physicists and geologists.
"The book offers a well planned, systematic development of the theory of propagation of inhomogeneous waves in dissipative and prestressed media. The importance of thermodynamic conditions to the propagation characteristics has been emphasized. Readers will find a wealth of information on advanced research materials in the book due to its inclusions of many applications from various applied disciplines e.g., seismology, NDE, and ocean acoustics."
".... timely and useful. Indeed, as far as I know, this is the first book on inhomogeneous plane waves in solids and fluids."
| 316pp |
Pub. date: Oct 1992 |
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