Linear elasticity: Difference between revisions

Revision as of 06:33, 13 February 2004

Revision as of 14:32, 21 February 2004

Line 46:

and <math>c=\omega/\sqrt{\mathbf{k}\cdot\mathbf{k}}</math> is phase velocity.

== Isotropic media ==

In [[isotropic]] media, the elasticity tensor has the form

:<math> C_{ijkl}

= \kappa \, \delta_{ij}\, \delta_{kl}

Line 68:

<math>\hat{\mathbf{k}}</math>, respectively.

In the seismological literature, the corresponding plane waves are called P-waves and S-waves (see [[Seismic wave]]).

== References ==

*Gurtin M. E., Introduction to Continuum Mechanics, Academic Press 1981