Notes on Wave Propagation in Anisotropic Elastic Solids
نویسنده
چکیده
The aim of this document is to summarise the information on elastic material properties, and wave propagation which I have found in my recent reading. The books and papers read are listed at the end of this document, and cited throughout. First, the basic consititutive equations governing elastic solids are presented. Once the concept of elastic properties has been established, our attention turns to the various symmetry classes which exist. These symmetries simplify the material properties. I have written more on symmetry than I had expected to, as the area turned out to be surprisingly interesting. Following on from the exposition of the material properties of various symmetry classes, we look at solving the dynamic elastic equations for specific materials. Slowness curves are introduced and calculated for particular cases. Finally, following the discussion of Slowness curves in bulk anisotropic materials, attention is turned towards the problem of Lamb waves: guided waves in plates. This phenomenon is studied for isotropic plates, and also for anisotropic and inhomogeneous (layered) plates. It is important to note that this document is still a work in progress. If anyone actually does read it, and has suggestions/corrections, I would be very glad to hear from them at [email protected]
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