Abstract
Problems of determining stresses in isolated ellipsoidal rigid inclusions contained in an isotropic elastic space subjected to uniformly distributed loading at infinity are considered. A solution in a closed form is constructed for inclusions shaped as ellipsoids of revolution.
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I. Yu. Tsvelodub, “Determination of stresses in ellipsoidal rigid inclusions,” J. Appl. Mech. Tech. Phys., 51, No. 3, 389–392 (2010).
F. R. Gantmacher, Theory of Matrices, Academic Press, New York (1985).
I. Yu. Tsvelodub, “Physically nonlinear ellipsoidal inclusion in a linearly elastic medium,” J. Appl. Mech. Tech. Phys., 45, No. 1, 69–75 (2004).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 52, No. 3, pp. 175–180, May–June, 2011.
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Tsvelodub, I.Y. Some three-dimensional problems for an elastic medium with isolated rigid inclusions. J Appl Mech Tech Phy 52, 478–482 (2011). https://doi.org/10.1134/S0021894411030199
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DOI: https://doi.org/10.1134/S0021894411030199