The stress–strain state of flexible orthotropic cylindrical shells with a reinforced circular hole under static loading is analyzed numerically. The incremental-loading procedure, modified Newton–Kantorovich method, and finite-element method are used. The effect of geometrical nonlinearity, the orthotropy of the material, and the stiffness of the reinforcement in a shell subject to uniform internal pressure on the distribution of stresses, strains, and displacements along the hole edge and in the zone of their concentration is studied
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
P. A. Zhilin, “General theory of ribbed shells,” in: Strength of Hydraulic Turbines [in Russian], Issue 88, Tr. TsKTI, Leningrad (1968), pp. 46–70.
V. V. Karpov, Models and Algorithms for the Strength and Stability Analyses of Reinforced Shells of Revolution, Part 1 of Strength and Stability of Reinforced Shells of Revolution [in Russian], Fizmatlit, Moscow (2010).
V. V. Karpov and A. A. Semenov, “Mathematical model of the deformation of reinforced orthotropic shells of revolution,” Inzh.-Stroit. Zh., No. 5, 100–106 (2013).
À. N. Guz, I. S. Chernyshenko, V. N. Chekhov, et al., Theory of Thin Shells Weakened by Holes, Vol. 1 of the five-volume series Methods of Shell Design [in Russian], Naukova Dumka, Kyiv (1980).
P. M. A. Areias, J.-H. Song, and T. Belytschko, “A finite-strain quadrilateral shell element based on discrete Kirchhoff–Love constraints,” Int. J. Numer. Meth. Eng., 64, 1166–1206 (2005).
D. Bushnell, “Analysis of ring-stiffened shells of revolution under combined thermal and mechanical loading,” AIAA J., 9, No. 3, 401–410 (1971).
A. N. Guz, E. A. Storozhuk, and I. S. Chernyshenko, “Nonlinear two-dimensional static problems for thin shells with reinforced curvilinear holes,” Int. Appl. Mech., 45, No. 12, 1269–1300 (2009).
L. R. Herrmann and D. M. Campbell, “A finite-element analysis for thin shells,” AIAA J., No. 6, 1842–1847 (1968).
M. W. Hilburger and J. H. Starnes, “Buckling behavior of compression-loaded composite cylindrical shells with reinforced cutouts,” Int. J. Non-Linear Mech., 40, No. 7, 1005–1021 (2005).
A. Kaufman and D. Spera, “Investigation of the elastic-plastic stress state around reinforced opening in a spherical shell,” NASA Sci. Tech. Publ., Washington (1965).
A. Kharat and V. V. Kulkarni, “Stress concentration at openings in pressure vessels – A review,” Int. J. Innov. Res. Sci., Eng. Tech., 2, No. 3, 670–678 (2013).
N. V. Maiborodina and V. F. Meish, “Forced vibrations of ellipsoidal shells reinforced with transverse ribs under a nonstationary distributed load,” Int. Appl. Mech., 49, No. 6, 693–701 (2013).
V. A. Maximyuk, E. A. Storozhuk, and I. S. Chernyshenko, “Nonlinear deformation of thin isotropic and orthotropic shells of revolution with reinforced holes and rigid inclusions,” Int. Appl. Mech., 49, No. 6, 685–692 (2013).
V. A. Maximyuk, E. A. Storozhuk, and I. S. Chernyshenko, “Stress state of flexible composite shells with stiffened holes,” Int. Appl. Mech., 50, No. 5, 558–565 (2014).
S. S. Murthy and R. H. Gallagher, “Anisotropic cylindrical shell element based on discrete Kirchhoff theory,” Int. J. Numer. Meth. Eng., 19, No. 12, 1805–1823 (1983).
W. D. Pilkey and D. D. Pilkey, Peterson’s Stress Concentration Factors, John Wiley & Sons, New York (2008).
M. S. Qatu, E. Asadi, and W. Wang, “Review of recent literature on static analyses of composite shells: 2000–2010,” Open J. Comp. Mater., No. 2, 61–86 (2012).
E. Senocak and A. M. Waas, “Optimally reinforced cutouts in laminated circular cylindrical shells,” Int. J. Mech. Sci., 38, No. 2, 121–140 (1996).
S. Shi, Z. Sun, M. Ren, H. Chen, and X. Hu, “Buckling response of advanced grid stiffened carbon-fiber composite cylindrical shells with reinforced cutouts,” Compos. Part B: Eng., 44, No. 1, 26–33 (2013).
E. A. Storozhuk and I. S. Chernyshenko, “Reinforcement of the contour of a hole in an inelastic shell,” Int. Appl. Mech., 24, No. 11, 1064–1068 (1988).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika, Vol. 51, No. 4, pp. 71–80, July–August 2015.
Rights and permissions
About this article
Cite this article
Maksimyuk, V.A., Storozhuk, E.À. & Chernyshenko, I.S. Stress–Strain State of Flexible Orthotropic Cylindrical Shells with a Reinforced Circular Hole. Int Appl Mech 51, 425–433 (2015). https://doi.org/10.1007/s10778-015-0703-9
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10778-015-0703-9