Books > Science & Mathematics > Physics > Classical mechanics > Sound, vibration & waves (acoustics)
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Wave Propagation in Solids and Fluids (Paperback, Softcover reprint of the original 1st ed. 1988)
Loot Price: R2,989
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Wave Propagation in Solids and Fluids (Paperback, Softcover reprint of the original 1st ed. 1988)
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The purpose of this volume is to present a clear and systematic
account of the mathematical methods of wave phenomena in solids,
gases, and water that will be readily accessible to physicists and
engineers. The emphasis is on developing the necessary mathematical
techniques, and on showing how these mathematical concepts can be
effective in unifying the physics of wave propagation in a variety
of physical settings: sound and shock waves in gases, water waves,
and stress waves in solids. Nonlinear effects and asymptotic
phenomena will be discussed. Wave propagation in continuous media
(solid, liquid, or gas) has as its foundation the three basic
conservation laws of physics: conservation of mass, momentum, and
energy, which will be described in various sections of the book in
their proper physical setting. These conservation laws are
expressed either in the Lagrangian or the Eulerian representation
depending on whether the boundaries are relatively fixed or moving.
In any case, these laws of physics allow us to derive the "field
equations" which are expressed as systems of partial differential
equations. For wave propagation phenomena these equations are said
to be "hyperbolic" and, in general, nonlinear in the sense of being
"quasi linear" . We therefore attempt to determine the properties
of a system of "quasi linear hyperbolic" partial differential
equations which will allow us to calculate the displacement,
velocity fields, etc.
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