Stability and Postcritical Behavior of Cylindrical Composite Shells with Local Imperfections Under External Pressure

1. V. A. Bazhenov, M. P. Semenyuk, and V. M. Trach, Nonlinear Deformation, Stability, and Postcritical Behavior of Anisotropic Shells [in Ukrainian], Karavela, Kyiv (2010).

   Google Scholar 

2. G. A. Vanin and N. P. Semenyuk, Stability of Shells Made of Composites with Imperfections [in Russian], Naukova Dumka, Kyiv (1987).

   Google Scholar 

3. 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).

   Article  Google Scholar 

4. E. I. Grigolyuk and V. I. Shalashilin, Problems of Nonlinear Deformation: Parameter Continuation Method in Nonlinear Problems of Solid Mechanics [in Russian], Nauka, Moscow (1988).

   MATH  Google Scholar 

5. D. F. Davydenko, “A new method for numerical solution of systems of nonlinear equations,” Dokl. AN SSSR, 88, No. 4, 601–602 (1953).

   MathSciNet  Google Scholar 

6. A. S. Sakharov (ed.), V. N. Kislookii, V. V. Kirichevskii, J. Altenbach (ed.), U. Gabbert, J. Dankert, H. Kцppler, and S. Koczyk, The Finite-Element Method in Solid Mechanics [in Russian], Vyshcha Shkola, Kyiv; Die Methode der finiten Elemente in der Festkцrpermechanik [in German], VEB Fachbuchverlag, Leipzig (1982).

7. N. P. Semenyuk and N. B. Zhukova, “Stability, postbuckling behavior, and optimization of shells made of composite materials,” Mech. Comp. Mater., 27, No. 1, 107–111 (1991).

   Article  Google Scholar 

8. N. P. Semenyuk and N. B. Zhukova, “Effect of the interaction of buckling modes on the optimum design of laminated cylindrical shells made of composites,” Mech. Comp. Mater., 29, No. 3, 268–272 (1993).

   Article  Google Scholar 

9. J. C. Amazigo and W. B. Fraser, “Buckling under external pressure of cylindrical shells with dimple shaped initial imperfections,” Int. J. Solids Struct., 7, No. 8, 883–900 (1971).

   Article  MATH  Google Scholar 

10. B. Budiansky, “Theory of buckling and post-bucking behavior of elastic structures,” Adv. Appl. Mech., 14, 2–65 (1974).

    Google Scholar 

11. E. Byskov, “Mode interaction in structures—An overview,” in: Proc. CD-ROM 6th World Congr. of Computational Mechanics, Tsinghua University, China (September) (2004).

12. E. Byskov and J. W. Hutchinson, “Mode interaction in axially stiffened cylindrical shells,” AIAA J., 16, No. 7, 941–948 (1977).

    Article  ADS  Google Scholar 

13. I. Elishakoff, “Probabilistic resolution of the twenties century conundrum in elastic stability,” Thin-Walled Struct., 59, 35–57 (2012).

    Article  Google Scholar 

14. E. A. Gotsulyak, D. E. Prusov, and N. E. Aranchii, “Stability of geîmetrically imperfect general-view shells,” Int. Appl. Mech., 36, No. 11, 1476–1481 (2000).

    Article  ADS  MATH  Google Scholar 

15. W. T. Koiter, General Theory of Mode Interaction in Stiffened Plate and Shell Structures, Report WTHD 91, Delft University of Technology, Holland (1976).

16. Z. Kolakowski, “On certain aspects of global and local buckling modes in thin-walled column-beams,” J. Theor. Appl. Mech., 32, No. 2, 409–427 (1994).

    Google Scholar 

17. N. P. Semenyuk, “Nonlinear deformation of shells with finite angles of rotation and low elastoplastic strains,” Int. Appl. Mech., 51, No. 2, 149–158 (2015).

    Article  ADS  MathSciNet  MATH  Google Scholar 

18. N. P. Semenyuk and N. B. Zhukova, “Two methods for calculating the stability of shells with single-mode and multimode imperfections,” Int. Appl. Mech., 32, No. 1, 20–24 (1996).

    Article  ADS  MathSciNet  MATH  Google Scholar 

19. N. P. Semenyuk, V. M. Trach, and N. B. Zhukova, “The theory of stability of cylindrical composite shells revisited,” Int. Appl. Mech., 51, No. 4, 449–460 (2015).

    Article  ADS  MathSciNet  MATH  Google Scholar 

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