Literature Cited
A. N. Guz', Stability of Elastic Bodies in Cubic Compression [in Russian], Naukova Dumka, Kiev (1979).
A. N. Guz', “One fracture criterion of solids in compression along cracks. Plane problem,” Dokl. Akad. Nauk SSSR,259, No. 6, 1315–1318 (1981)
A. N. Guz', Mechanics of Brittle Fracture of Materials with Initial Stresses [in Russian], Naukova Dumka, Kiev (1983).
A. N. Guz', V. I. Knyukh, and V. M. Nazarenko, “Three-dimensional axisymmetric problem of fracture in material with two discoidal cracks under compression along the latter,” Prikl. Mekh.,20, No. 11, 20–30 (1984).
S. G. Mikhlin and Kh. L. Smolitskii, Approximate Methods of Solution of Differential and Integral Equations [in Russian], Nauka, Moscow (1965).
V. M. Nazarenko, “Interaction of a circular surface crack and a free boundary in an axisymmetric problem of fracture of an incompressible half-space in compression along the crack plane,” Prikl. Mekh.,21, No. 2, 30–35 (1985).
L. I. Sedov, Continuous Mechanics [in Russian], Vol. 2, Nauka, Moscow (1976).
Ya. S. Uflyand, Integral Transforms in Problems of the Theory of Elasticity [in Russian], Izd. Akad. Nauk SSSR, Moscow-Leningrad (1963).
G. P. Cherepanov, Mechanics of Brittle Fracture [in Russian], Nauka, Moscow (1974).
L. R. G. Treloar, “Large elastic deformations in rubberlike materials,” IUTAM Colloquium, Madrid (1955), pp. 208–217.
Additional information
Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 21, No. 3, pp. 20–25, March, 1985.
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Knyukh, V.I. Fracture of a material with two disk-shaped cracks in the case of axisymmetric deformation in compression along the cracks. Soviet Applied Mechanics 21, 226–231 (1985). https://doi.org/10.1007/BF00888930
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DOI: https://doi.org/10.1007/BF00888930