Abstract
On the basis of Lagrange's variational equation the authors obtained nonlinear resolvent equations and coefficients taking into account the effect of a reinforcing element (a rod) on the state of stress and strain of a spherical shell weakened by a curvilinear (elliptical) hole. The article explains the method of numerical investigation of the inelastic state of the shell based on the application of the variational difference method in combination with the method of elastic solutions. The inelastic state of a shell with a reinforced hole was numerically investigated.
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References
V. L. Yaskovets, E. A. Storozhuk, and I. S. Chernyshenko, "The elastoplastic state of spherical shells in the zone of an elliptical opening," Prikl. Mekh.,25, No. 3, 20–30 (1989).
A. N. Guz', I. S. Chernyshenko, V. N. Chekhov et al., Stress Analysis of Shells: in 5 Volumes. Vol. 1: Theory of Thin Shells Weakened by Openings [in Russian], Kiev (1980).
A. N. Guz', I. S. Chernyshenko, and K. I. Shnerenko, Spherical Bottoms Weakened by Openings [in Russian], Kiev (1970).
Additional information
Kiev. Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 21, pp. 80–83, 1990.
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Yaskovets, V.L., Chernyshenko, I.S. Stress distribution near a reinforced elliptical hole in a spherical shell at the elastoplastic stage of deformation. J Math Sci 68, 693–695 (1994). https://doi.org/10.1007/BF01249407
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DOI: https://doi.org/10.1007/BF01249407