Literature Cited
I. V. Gaivas, “Influence of a diffusional flow on the critical equilibrium of brittle bodies weakened by cupsed holes,” Fiz.-Khim. Mekhan. Mat., No. 6 (1969).
B. P. Demidovich and I. A. maron, Fundamentals of Computational Mathematics [in Russian], Izd-vo Nauka, Moscow (1966).
A. A. Kaminskii, “Critical loads producing the nucleation of cracks in the vicinity of holes,” Inzh. Zh., Mekhan. Tverd. Tela, No. 4 (1966).
A. A. Kaminskii, “Investigation of stress fields in the vicinity of small radial cracks originating at hole edges,” Prikl. Mekhan.,7, No. 12 (1971).
A. A. Kaminskii and N. S. Sailov, “Fracture of brittle solids near holes as a result of the appearance of a set of surface cracks,” Probl. Prochnosti, No. 10 (1973).
G. S. Kit and Ya. S. Podstrigach, “Determination of the stationary temperature field and stresses in the vicinity of a slit possessing heat resistance,” Fiz.-Khim. Mekhan. Mat.,2, No. 3 (1966).
N. I. Muskhelishvili, Some Fundamental Problems of the Mathematical Theory of Elasticity [in Russian], Izd-vo Nauka, Moscow (1966).
V. V. Panasyuk, Critical Equilibrium of Brittle Solids with Cracks [in Russian], Izd-vo Naukova Dumka, Kiev (1968).
V. V. Panasyuk and L. T. Berezhnitskii, “Critical equilibrium of a plate with sharp stress raisers,” Fiz.-Khim. Mekhan. Mat.,1, No. 4 (1965).
V. Z. Parton and G. P. Cherepanov, “Fracture mechanics,” in: Mechanics in the USSR in the Last 50 Years [in Russian], Vol. 3, Izd-vo Nauka, Moscow (1972).
G. N. Savin and V. V. Panasyuk, “Investigations of the theory of the critical equilibrium of brittle solids with cracks (Review),” Prikl. Mekhan.,4, No. 1 (1966).
G. C. Sih, “Singular character of thermal stresses at crack tips,” Trans. ASME, Applied Mechanics,29, No. 2 (1962).
G. C. Sih, P. C. Paris, and F. Érdogan “Stress concentration coefficients near crack tips in plates under plane tension and bending conditions,”ibid. Trans. ASME, Applied Mechanics,29, No. 2 (1962).
G. P. Cherepanov, “A problem of forcing an indenter into a solid with the formation of cracks,” Prikl. Matem. i Mekhan.,27, No. 1 (1963).
O. L. Bowie, “Analysis of an infinite plate containing radial cracks originating at the boundary of an internal circular hole,” J. Math. and Phys.,25, No. 1 (1956).
A. L. Florence and J. N. Goodier, “Thermal stresses due to disturbance of uniform heat flow by an insulated ovaloid hole,” J. Appl. Mech., Trans. ASME, Ser. E, No. 4 (1960).
G. R. Irwin, Fracture, Handbuch der Physik, No. 6, Springer, Berlin (1958).
Additional information
Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev, Baku. Translated from Prikladnaya Mekhanika, Vol. 10, No. 8, pp. 67–74, August, 1974.
Rights and permissions
About this article
Cite this article
Kaminskii, A.A., Sailov, N.S. Influence of heat flow on the propagation of a set of surface cracks near a hole. Soviet Applied Mechanics 10, 860–865 (1974). https://doi.org/10.1007/BF00882516
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00882516