We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
To save content items to your account,
please confirm that you agree to abide by our usage policies.
If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account.
Find out more about saving content to .
To save content items to your Kindle, first ensure no-reply@cambridge.org
is added to your Approved Personal Document E-mail List under your Personal Document Settings
on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part
of your Kindle email address below.
Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations.
‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi.
‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
As an important application of the theory of elasticity in soil mechanics, the main principles of elastodynamics are introduced. On the basis of waves in 1D-continua the notions of transmission, reflexion and dynamic stiffness are explained, and the body waves are presented as compression and shear waves. Rayleigh waves are presented as an example of surface waves.
Surface waves are waves that are essentially confined to the surface of the Earth, in that their amplitudes decrease with depth in some way. This chapter covers the basic theory of such waves, as well as the theory of normal modes, which are waves confined to a surface layer, and are similar to waves in an organ pipe or the motions of a vibrating string fixed at one end or both ends, for instance. Coverage includes Rayleigh waves, which are a combination of compressional and shear waves and produce ground motions parallel to the vertical plane in which the wave is traveling, and are a dominant type of earthquake wave; and Love waves, which are shear waves that produce ground motions in the horizontal plane, and head waves, which are upgoing waves produced by critically refracted transmitted waves. Waves along an interface between two solids are also discussed. Also discussed are how the different frequencies in the wave pulse travel at different wave speeds, and the corresponding concepts of phase and group velocity.In addition, other types of normal modes are covered, as well as an interesting wave phenomenon known as the Airy phase.
The method of explicit expansion in normal modes is applied to derive expressions for the Rayleigh waves generated by distributions of buried transient and harmonic forces. The derived expressions are conceptually clear, and relatively simple.
Recommend this
Email your librarian or administrator to recommend adding this to your organisation's collection.