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IssuesArchive of Issues2019-6pp.958-967

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A.B. Zhuravlev and K.B. Ustinov, "On Values Characterizing the Degree of Elastic Anisotropy of Transversely Isotropic Rocks; Role of Shear Modulus," Mech. Solids. 54 (6), 958-967 (2019)
Year 2019 Volume 54 Number 6 Pages 958-967
DOI 10.3103/S0025654419060104
Title On Values Characterizing the Degree of Elastic Anisotropy of Transversely Isotropic Rocks; Role of Shear Modulus
Author(s) A.B. Zhuravlev (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia)
K.B. Ustinov (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, ustinov@ipmnet.ru)
Abstract The influence of the elastic constants of transversely isotropic rocks on the stress concentration values on the well contour is studied. It is shown that in the case of a uniform component initial stress state, the main parameter characterizing the deviation of the stress concentration on the well contour from the concentration characteristic of an isotropic body is the ratio of the independent shear modulus in the plane normal to the isotropy plane to the shear modulus characteristic of one of the subclasses transversally isotropic medium isolated by Saint-Venant, which is a combination of other elastic constants. With this ratio equal to one, stress concentrations for isotropic and anisotropic medium coincide. The well-known fact that this relationship is close to one for most transversely isotropic rocks allows us to use, to a first approximation, an elastic solution for an isotropic body. It is shown that the closeness to one of relation of the ratio of independent shear modulus to combinations of other elastic constants characteristic of other subclasses identified by Saint-Venant is also observed for most rocks, although with slightly less accuracy.
Keywords anisotropic medium, shear modulus, stresses on well contour
Received 16 October 2018
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