Abstract
The stiffness matrix of a viscoelastic medium is symmetric in the low—frequency and high—frequency limits, but not for finite frequencies. We thus consider a non—symmetric stiffness matrix in this paper. We determine the general form of a rotationally invariant non—symmetric stiffness matrix of a viscoelastic medium. It is described by three additional complex—valued parameters in comparison with a rotationally invariant symmetric stiffness matrix of a transversely isotropic (uniaxial) viscoelastic medium with a symmetric stiffness matrix. As a consequence, we find that the stiffness matrix of an isotropic viscoelastic medium is always symmetric.
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Acknowledgements
The research has been supported by the Czech Science Foundation under contract 20-06887S, and by the members of the consortium “Seismic Waves in Complex 3—D Structures” (see “http://sw3d.cz”).
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Klimeš, L. Rotationally invariant viscoelastic medium with a non-symmetric stiffness matrix. Stud Geophys Geod 66, 38–47 (2022). https://doi.org/10.1007/s11200-021-1106-5
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DOI: https://doi.org/10.1007/s11200-021-1106-5