Rotationally invariant viscoelastic medium with a non-symmetric stiffness matrix

Ludek Klimes

Summary

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.

Keywords

Viscoelastic media, stiffness tensor, elastic moduli, transverse isotropy, symmetry axis.


Stud. geophys. geod., 66 (2022), in press.