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Finite-amplitude plane waves in deformed Hadamard elastic materials

par Boulanger, Philippe ;Hayes, Michael;Trimarco, Carmine
Référence Geophysical journal international, 118, 2, page (447-458)
Publication Publié, 1994

Article révisé par les pairs

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Résumé :

It has been shown previously that Hadamard compressible elastic materials are the only ones for which three linearly polarized finite-amplitude plane waves, one longitudinal and two transverse, may propagate in any direction when the material is maintained in a state of arbitrary static finite homogeneous deformation. Simple explicit expressions are obtained for the three wave speeds and a simple characterization of the polarization directions of the transverse waves. Results are expressed in terms of the angles that the propagation direction makes with the acoustic axes. Then, the energy flux and energy density of the waves are considered. Relations between the projection on to the propagation direction of the energy flux vector and the energy density are derived for each individual wave. Finally, periodic transverse waves are considered. -from Authors