Abstract
Analytical expressions for the stresses near a circular hole in a transversely isotropic shallow spherical shell under uniform pressure are derived. The form of the solution depends on the range of change in the compliance to transverse shear. The influence of the relative radius of the hole and the compliance to transverse shear on the stress concentration is analyzed.
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REFERENCES
A. N. Guz, Ya. M. Grigorenko, I. Yu. Babich, et al., Mechanics of Structural Members, Vol. 2 of the three-volume series Mechanics of Composite Materials and Structural Members [in Russian], Naukova Dumka, Kiev (1983).
A. N. Guz and K. I. Shnerenko, “Linear problems for shells with transverse-shear strains,” in: Stress Concentration, Vol. 7 of the 12-volume series Mechanics of Composites [in Russian], A.S.K., Kiev (1998), pp. 288–328.
A. N. Guz, I. S. Chernyshenko, Val. N. Chekhov, Vik. N. Chekhov, and K. I. Shnerenko, The Theory of Thin Shells with Openings, Vol. 1 of the five-volume series Methods of Shell Design, Naukova Dumka, Kiev (1980).
A. N. Guz, I. S. Chernyshenko, and K. I. Shnerenko, Spherical Bottoms Weakened by Openings [in Russian], Naukova Dumka, Kiev (1970).
A. N. Guz and K. I. Shnerenko, “Stress concentration near holes in shells made of materials with a low shear modulus,” Int. Appl. Mech., 6, No.8, 817–823 (1970).
B. L. Pelekh and A. A. Syas’kii, Stress Distribution near Openings in Anisotropic Shells Compliant to Shear [in Russian], Naukova Dumka, Kiev (1975).
V. M. Chekhov and A. J. A. Souse, “Stress distribution near a circular cutout in transversely isotropic shells,” Visn. Kyiv. Univ., Ser. Fiz.-Mat. Nauk, No. 5, 395–402 (2001).
V. N. Chekhov and A. J. A. Souse, “Torsion of a transversely isotropic shallow shell with a circular opening,” Teor. Prikl. Mekh., 33, 124–130 (2001).
K. I. Shenernko, “Influence of shear strains on the stress state of a spherical shell weakened by a hole,” Int. Appl. Mech., 7, No.3, 250–255 (1971).
V. F. Godzula and K. I. Shnerenko, “The stress-strain state of a composite spherical shell with two polar openings,” Int. Appl. Mech., 38, No.3, 341–344 (2002).
A. N. Guz, I. S. Chernyshenko, and K. I. Shnerenko, “Stress concentration near openings in composite shells,” Int. Appl. Mech., 37, No.2, 139–181 (2001).
V. A. Maksimyuk, V. P. Mulyar, and I. S. Chernyshenko, “Stress state of thin spherical shells with an off-center elliptic hole,” Int. Appl. Mech., 39, No.5, 595–598 (2003).
K. I. Shnerenko and V. F. Godzula, “Stress distribution in a composite cylindrical shell with a large circular opening,” Int. Appl. Mech., 39, No.11, 1323–1327 (2003).
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Translated from Prikladnaya Mekhanika, Vol. 40, No. 12, pp. 99–106, December 2004.
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Zakora, S.V., Chekhov, V.N. & Shnerenko, K.I. Stress concentration around a circular hole in a transversely isotropic spherical shell. Int Appl Mech 40, 1391–1397 (2004). https://doi.org/10.1007/s10778-005-0045-0
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DOI: https://doi.org/10.1007/s10778-005-0045-0