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Zbl 1028.74009
Olegin, I.P.
Axisymmetric stress state in a transversal-isotropic elastic medium with two rigid elliptic inclusions.
(Russian)
[J] Sib. Zh. Ind. Mat. 5, No.1, 127-132 (2002). ISSN 1560-7518

Summary: The second basic axisymmetric problem of elasticity theory is studied for an infinite transversal-isotropic elastic medium containing two nonintersecting absolutely rigid ellipsoids which are symmetric with respect to a common axis. We use the method of superposition which is based on complex potentials.
MSC 2000:
*74B05 Classical linear elasticity
74E10 Anisotropy

Keywords: Poisson coefficient; Chebyshev polynomial; axisymmetric stress state; infinite transversal-isotropic elastic medium; rigid ellipsoids; method of superposition; complex potentials

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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