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In an elastic medium, it was proved that the stiffness tensor is symmetric with respect to the exchange of the first pair of indices and the second pair of indices, but the proof does not apply to a viscoelastic medium. In order to indicate which phenomena could be observed in the wave field if the stiffness matrix were non–symmetric, we propose the frequency–domain ray series for viscoelastic waves with a non–symmetric stiffness tensor in this paper.

Frequency-domain ray series for viscoelastic waves with a non-symmetric stiffness matrix