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- W2025828397 abstract "The purpose of this paper is to describe an experimental method for determining the complete anisotropic (triclinic) elasticity tensor in rocks (or in any other solid) using the density, the measurements of the approximate wave polarizations and the ultrasonic phase velocities of quasi-shear and quasicompressional waves in various directions of propagation. No a-priori knowledge on the level of symmetry or on the orientation of the eigenframe is needed. The method is very similar to the one proposed by van Buskirk et al. [3] but differs in the sense, that it needs only rough initial estimations of the wave polarizations. It requires at least 21 measurements of the phase velocities and of the polarizations in order to fully determine the elasticity tensor. When we have more than 21 measurements, the best fitting elastic constants are determined using a least-square criterion. The method is applied to synthetic data taken from Royer and Dieulesaint [4] and to experimental data consisting of various rock samples. ity tensor. Each index can run from 1 to 3 and the summation convention on repeated indices is implicit. The strain tensor describes the deformation of a material under stress and is related to the displacement u in the following way," @default.
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- W2025828397 date "1991-01-01" @default.
- W2025828397 modified "2023-09-27" @default.
- W2025828397 title "Complete inversion of the anisotropic elastic tensor in rocks: Experiment versus theory" @default.
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- W2025828397 doi "https://doi.org/10.1190/1.1888996" @default.
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