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- W1995651125 abstract "We obtain expressions of the attenuation vector and quality factor of the three possible wave modes propagating in a linear anisotropic medium. The theory assumes, in principle, a general stiffness matrix. Probing the medium with a time-harmonic homogeneous plane wave gives the attenuations and quality factors as simple forms of the propagation direction, complex stiffnesses and mass density. As an application, we introduce a new constitutive relation, based on four complex moduli, for which the values of the quality factor along three preferred directions can be matched with experimentally pre-determined values. The rheology is causal and allows an arbitrary frequency-dependence of the stiffnesses based on the generalized standard linear solid model. Two examples are explicitly worked out. The first is clay shale, a material of hexagonal symmetry. Since, by Neumann's principle, the attenuation symmetries are determined by the crystal class, the medium presents isotropic attenuation in a plane normal to the symmetry axis. For instance, in materials with c11 > c33, it is found that the quasi-compressional wave attenuates more along the symmetry axis direction than in the plane of isotropy. The second medium is tellurium dioxide, a strongly anisotropic material of tetragonal symmetry. In this case, the diagrams show that strong attenuation is associated with high slowness values, as at around 45° in the horizontal plane. Both case studies show that the features of the attenuation surfaces strongly depend on the values of the elasticities." @default.
- W1995651125 created "2016-06-24" @default.
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- W1995651125 date "1995-02-01" @default.
- W1995651125 modified "2023-10-03" @default.
- W1995651125 title "Attenuation and quality factor surfaces in anisotropic-viscoelastic media" @default.
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- W1995651125 doi "https://doi.org/10.1016/0167-6636(94)00040-n" @default.
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