Conclusions
Taking account of the interaction between cracks and the mutual influence of a crack and a free boundary leads to significant reduction in critical compressive stress in comparison with that obtained for an infinite material with a crack [5]. The critical compressive stress obtained of internal cleavage is higher than that for surface cleavage. In the case of the rigidity properties of the materials and the values of β considered here, this difference is up to 35% (see also Figs. 1–5).
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Literature Cited
S. A. Ambartsumyan, Theory of Anisotropic Plates [in Russian], Nauka, Moscow (1967).
V. V. Bolotin, “Defects of cleavage type in structures of composite materials,” Mekh. Kompozit. Mater., No. 2, 239–255 (1984).
A. N. Guz', Stability of Three-Dimensional Deformable Bodies [in Russian], Naukova Dumka (1971).
A. N. Guz', “Failure criterion for solid bodies under compression along a crack. Three-dimensional problem, Dokl. AN SSSR,261, No. 1, 42–45 (1981).
A. N. Guz', Brittle-Failure Mechanics of Materials with Initial Stress [in Russian], Naukova Dumka, Kiev (1983).
A. N. Guz', V. I. Knyukh, and V. M. Nazarenko, “Three-dimensional axisymmetric problem of the failure of a material with two disk-shaped cracks in compression along cracks,” Prikl. Mekh.,20, No. 11, 20–30 (1984).
A. N. Guz and V. M. Nazarenko, “Axisymmetric problem of the failure of a halfspace with a surface disk-shaped crack,” Dokl. AN SSSR,274, No. 1, 38–41 (1984).
V. I. Knuykh, “Failure of material with two disk-shaped cracks in the case of axisymmetric deformation under compression along cracks,” Prikl. Mekh.,21, No. 3, 20–24 (1985).
B. P. Maslov, Investigating Stochastic Composites with Nonlinear and Anisotropic Properties of Components, Author's Abstracts of Candidate's Dissertation, Kiev (1983)
A. N. Guz' (ed.), Mechanics of Materials, Vol. 1, Mechanics of Composite Materials and Structural Elements [in Russian], Naukova Dumka, Kiev (1982).
A. M. Mikhailov, “Some problems of crack theory in the beam approximation,” Prikl. Mekh., Tekh. Fiz., No. 5, 128–133 (1967).
S. G. Mikhlin and Kh. L. Smolitskii, Approximate Methods of Solving Differential and Integral Equations [in Russian], Nauka, Moscow (1965).
V. M. Nazarenko, “Mutual influence of a circular surface crack and a free boundary in an axisymmetric problem of the failure of an incompressible halfspace with compression along the crack plane,” Prikl. Mekh.,21, No. 2, 30–35 (1985).
A. N. Politov and Yu. N. Rabtonov, “Development of cleavage in the compression of composites,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 4, 166–171 (1983).
L. I. Sedov, Continuum Mechanics [in Russian], Vol. 2, Nauka, Moscow (1976).
L. I. Slepyan, Crack Mechanics [in Russian], Sudostroenie, Leningrad (1981).
Ya. S. Ulfyand, Integral Transformations in Elasticity-Theory Problems [in Russian], Izd. AN SSSR, Moscow-Leningrad (1963).
G. P. cherepanov, Mechanics of Brittle Failure [in Russian], Nauka, Moscow (1974).
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Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 22, No. 11, pp. 40–46, November, 1986.
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Guz', A.N., Knyukh, V.I. & Nazarenko, V.M. Cleavage of composite materials in compression along internal and surface macrocracks. Soviet Applied Mechanics 22, 1047–1052 (1986). https://doi.org/10.1007/BF01272869
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DOI: https://doi.org/10.1007/BF01272869