Abstract
The elastoplastic state of thin cylindrical shells with two circular holes under axial tension is analyzed considering finite deflections. The distributions of stresses along the contours of the holes and in the zone of their concentration are studied by solving doubly nonlinear boundary-value problems. The solution obtained is compared with the solutions that account for either physical nonlinearity (plastic deformations) and geometrical nonlinearity (finite deflections) alone and with a numerical solution of the linearly elastic problem. The stress-strain state near the two holes is analyzed depending on the distance between the holes and the nonlinear factors accounted for
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REFERENCES
A. V. Burlakov, G. I. L’vov, and F. K. Morachkovskii, Creep of Thin Shells [in Russian], Izd. Khar’kovsk. Univ., Kharkov (1977).
A. N. Guz, A. G. Makarenkov, and I. S. Chernyshenko, Strength of Solid Rocket Motor [in Russian], Mashinostroenie, Moscow (1980).
A. N. Guz, I. S. Chernyshenko, V. N. Chekhov, et al., The Theory of Thin Shells Weakened by Openings, Vol. 1 of the five-volume series Methods of Shell Design [in Russian], Naukova Dumka, Kiev (1980).
A. N. Guz, A. S. Kosmodamianskii, V. P. Shevchenko, et al., Stress Concentration, Vol. 7 of the 12-volume series Mechanics of Composite Materials [in Russian], A. S. K., Kiev (1998).
E. A. Storozhuk, “The finite-element method applied to solve two-dimensional elastoplastic problems for shells with openings,” Dokl. NAN Ukrainy, No. 10, 79–83 (1993).
E. A. Storozhuk, “Flow theory in nonaxisymmetric elastoplastic problems for shells with openings,” Dop. NAN Ukrainy, No. 2, 58–60 (1995).
E. A. Storozhuk, “Two-dimensional elastoplastic problems in the theory of flexible shells with curvilinear holes,” Int. Appl. Mech., 31, No.5, 355–359 (1995).
E. A. Storozhuk, “Numerical simulation of the nonlinear deformation of flexible shells with openings based on flow theory and FEM,” in: Abstracts of Papers Read at Conf. on Simulation and Stability Analysis of Systems [in Russian], Kiev (1995), p. 111.
I. A. Tsurpal and N. G. Tamurov, Design of Multiply Connected Laminated and Nonlinearly Elastic Plates and Shells [in Russian], Vyssh. Shk., Kiev (1977).
A. P. Shapovalov, “Influence of nonreinforced circular openings on the stability of axially compressed cylindrical shells in the elastoplastic domain,” Probl. Prochn., No. 5, 113–118 (1974).
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).
A. N. Guz, E. A. Storozhuk, and I. S. Chernyshenko, “Physically and geometrically nonlinear static problems for thin-walled multiply connected shells,” Int. Appl. Mech., 39, No.6, 679–687 (2003).
A. N. Guz, E. A. Storozhuk, and I. S. Chernyshenko, “Inelastic deformation of flexible spherical shells with two circular openings,” Int. Appl. Mech., 40, No.6, 672–678 (2004).
A. N. Guz, E. A. Storozhuk, and I. S. Chernyshenko, “Elastoplastic state of flexible cylindrical shells with two circular holes,” Int. Appl. Mech., 40, No.10, 1152–1156 (2004).
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 5, pp. 52–57, May 2005.
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Storozhuk, E.A., Chernyshenko, I.S. Elastoplastic Deformation of Flexible Cylindrical Shells With Two Circular Holes under Axial Tension. Int Appl Mech 41, 506–511 (2005). https://doi.org/10.1007/s10778-005-0116-2
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DOI: https://doi.org/10.1007/s10778-005-0116-2