A procedure for analytical solution of the problem of the stability and post-buckling behavior of composite cylindrical shells with local deflection under axial compression is developed. The algorithm is developed based on the Timoshenko–Mindlin nonlinear shell theory and Byskov–Hutchinson asymptotic method. The dependence of ultimate loads and equilibrium curves on the mechanical and geometric characteristics of the shells and laminate structure is studied.
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References
V. V. Bolotin, Statistic Methods in Structural Mechanics [in Russian], Stroiizdat, Moscow (1965).
G. A. Vanin and N. P. Semenyuk, Stability of Shells of Composite Materials with Imperfections [in Russian], Naukova Dumka, Kyiv (1987).
G. D. Gavrilenko and L. P. Krasovskii, “Stability of circular cylindrical shells with a single local dent,” Strength of Materials, 36, No. 3, 260–268 (2004).
E. I. Grigolyuk and V. I. Shalashilin, Problems of Nonlinear Deformation. Parameter Continuation Method, Nauka, Moscow (1988).
A. S. Sakharov, V. N. Kislookii, V. V. Kirichevskii, I. Altenbach, et al., Finite-Element Method in Solid Mechanics [in Russian], Vyshcha Shkola–Fachbuchverlag, Kyiv–Leiptsig (1982).
N. P. Semenyuk and N. B. Zhykova, “Initial post-critical behavior of layered cylindrical shells of composites,” Mech. Comp. Mater., 23, No. 1, 78–83 (1987).
J. C. Amazigo and B. Bydiansky, “Asymptotic formulas for the buckling stresses of axially compressed cylinders with localized or random axisymmetric imperfections,” J. Appl. Mech., 39, 179–184 (1972).
M. A. Arbelo, R. Degenhardt, and S. G. P. Zimmermann, “Numerical characterization of imperfection sensitive composite structures,” Compos. Struct., 108, 295–303 (2014).
J. Arbocz and C. D. Babcock, “The effect of general imperfections on the buckling of cylindrical shells,” J. Appl. Mech., 36, No. 1, 28–38 (1969).
E. I. Bespalova and N. P. Boreiko, “Determination of the natural frequencies of compound anisotropic shell systems using various deformation models,” Int. Appl. Mech., 55, No. 1, 41–54 (2019).
C. Bisagni, “Experimental buckling of thin composite cylinders in compression,” AIIA J., 37, No. 2, 276–278 (1999).
B. Budiansky, “Theory of buckling and post-buckling behavior of elastic structures,” Adv. Appl. Mech., 14, 2–65 (1974).
B. Budiansky and J. W. Hutchinson, “A survey of some buckling problems,” AIAA J., 4, No. 9, 1505–1510 (1966).
E. Byscov and J. W. Hutchinson, “Mode interaction in axially stiffened cylindrical shells,” AIAA J., 16, No. 7, 941–948 (1977).
L. H. Donnell and C. C. Wan, “Effect of imperfections on buckling of thin cylinders and columns under axial compression,” J. Appl. Mech., 17, No. 1, 73–83 (1950).
I. Elishakoff, “Probabilistic resolution of the twenty’s century conundrum in elastic stability,” Thin-Walled Struct., 59, 35–57 (2012).
W. Flugge, “Die Stabilitat der Kreiszylinderschale,” Ing. Archiv, No. 5, 463–506 (1932).
M. W. Hilburger, “Developing the next generation of shell buckling design factors and technologies,” in: Proc. 53th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conf., Honolulu, Hi, April 23–26 (2012), pp. 2012–1686.
W. T. Koiter, “Elastic stability and post-buckling behavior,” in: Proc. Symp. Nonlinear Problems, Univ. of Wisconsin Press, Madison (1963), pp. 257–275.
J. P. Peterson, P. Seide, and V. I. Weingarten, “Buckling of thin-walled circular cylinders,” Technical Report NASA-SP-8007 (1963).
B. Prabu, N. Rathinam, R. Srinivasan, and K. A. S. Naarayen, “Finite-element analysis of buckling of thin cylindrical shell subjected to uniform pressure,” J. Solid Mech., 1, No. 2, 148–158 (2009).
N. P. Semenyuk, V. M. Trach, and N. B. Zhukova, “Stability and initial post-buckling behavior of orthotropic cylindrical sandwich shells with unidirectional elastic filler,” Int. Appl. Mech., 55, No. 6, 636–647 (2019).
N. P. Semenyuk and N. B. Zhukova, “Stability of a sandwich cylindrical shell with core subject to external pressure and pressure in the inner cylinder,” Int. Appl. Mech., 56, No. 1, 40–53 (2020).
A. Takano, “Statistical knockdown factors of buckling anisotropic cylinders under axial compression,” J. Appl. Mech., 79, No. 5, 1–17 (2012).
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Translated from Prikladnaya Mekhanika, Vol. 57, No. 1, pp. 75–87, January–February 2021.
This study was sponsored by the budget program “Support for Priority Areas of Scientific Research” (KPKVK 6541230).
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Semenyuk, N.P., Zhukova, N.B. Influence of the Mechanical and Geometric Parameters of Composite Cylindrical Shells with Local Deflection on the Behavior of the Equilibrium Curves Under Axial Compression. Int Appl Mech 57, 63–74 (2021). https://doi.org/10.1007/s10778-021-01059-5
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DOI: https://doi.org/10.1007/s10778-021-01059-5