Literature Cited
A. N. Guz' and Yu. N. Nemish, Perturbation Methods in Three-Dimensional Problems of the Theory of Elasticity [in Russian], Vishcha Shkola, Kiev (1982).
S. G. Lekhnitskii, Theory of Elasticity of Anisotropic Solids [in Russian], Nauka, Moscow (1977).
A. I. Lur'e, Three-Dimensional Problems of the Theory of Elasticity [in Russian], Gostekhizdat, Moscow (1955).
Yu. N. Nemish, “Approximate solution of three-dimensional problems of the theory of elasticity for a transversely isotropic medium,” Prikl. Mekh.,5, No. 8, 26–34 (1969).
Yu. N. Nemish, D. F. Lyalyuk, and D. I. Chernopiskii, “Axisymmetric stress state of thick-walled elastic shells of nearly spherical form,” Prikl. Mekh.,18, No. 12, 18–24 (1982).
V. V. Novozhilov, Theory of Elasticity [in Russian], Sudpromgiz, Leningrad (1958).
V. T. Chen, “Certain problems for elastic materials with spherical anisotropy,” Trans. ASME, J. Appl. Mech.,33, No. 3, 71–79 (1966).
G. S. Shapiro, “Axisymmetric deformations of an ellipsoid of revolution,” Dokl. Akad. Nauk SSSR,58, No. 7, 1309–1312 (1947).
Additional information
Institute of Mechanics, Kiev. Translated from Prikladnaya Mekhanika, Vol. 19, No. 12, pp. 29–32, December, 1983.
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Grechka, G.P., Chernopiskii, D.I. Stress concentration in the neighborhood of nearly spherical cavities. Soviet Applied Mechanics 19, 1068–1071 (1983). https://doi.org/10.1007/BF00883854
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DOI: https://doi.org/10.1007/BF00883854