Skip to main content
Log in

Postbuckling of a shear-deformable anisotropic laminated cylindrical shell under external pressure in thermal environments

  • Published:
Mechanics of Composite Materials Aims and scope

Abstract

A postbuckling analysis is presented for a shear-deformable anisotropic laminated cylindrical shell of finite length subjected to external pressure in thermal environments. The material properties are expressed as linear functions of temperature. The governing equations are based on Reddy’s higher-order shear-deformation shell theory with the von Karman-Donnell-type kinematic nonlinearity. The nonlinear prebuckling deformations and initial geometric imperfections of the shell are both taken into account. The boundary-layer theory of shell buckling, which includes the effects of nonlinear prebuckling deformations, large deflections in the postbuckling region, and the initial geometric imperfections of the shell, is extended to the case of shear-deformable anisotropic laminated cylindrical shells under lateral or hydrostatic pressure in thermal environments. The singular perturbation technique is employed to determine the interactive buckling loads and postbuckling equilibrium paths. The results obtained show that the variation in temperature, layer setting, and the geometric parameters of such shells have a significant influence on their buckling load and postbuckling behavior.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. I. Y. Babich and V. I. Kilin, “Stability of a three-layer orthotropic cylindrical shell under axial loading,” Sov. Appl. Mech., 21, 566–569 (1985).

    Article  Google Scholar 

  2. A. K. Noor and J. M. Peters, “Stress, vibration, and buckling of mutilayered cylinders,” ASCE J. Eng. Mech., 115, 69–88 (1989).

    Google Scholar 

  3. G. A. Kardomateas, “Bifurcation of equilibrium in thick orthotropic cylindrical shells under axial compression,” ASME J. Appl. Mech., 62, 43–52 (1995).

    Article  Google Scholar 

  4. K. P. Soldatos, “Nonlinear analysis of transverse shear deformable laminated composite cylindrical shells. Pts. I & II,” ASME J. Press. Vessel Technol., 114, 105–114 (1992).

    Google Scholar 

  5. J. Q. Ye and K. P. Soldatos, “Three-dimensional buckling analysis of laminated hollow cylinders and cylindrical panels,” Int. J. Solids Struct., 32, 1949–1962 (1995).

    Article  Google Scholar 

  6. G. J. Simitses, A. Tabiei, and J. S. Anastasiadis, “Buckling of moderately thick laminated cylindrical shells under lateral pressure,” Compos. Eng., 3, 409–417 (1993).

    Google Scholar 

  7. Anastasiadis S. J. Anastasiadis, A. Tabiei, and G. J. Simitses, “Instability of moderately thick, laminated, cylindrical shells under combined axial compression and pressure,” Compos. Struct., 27, 367–378 (1994).

    Article  Google Scholar 

  8. P. Ouellette, S. V. Hoa, and T. S. Sankar, “Buckling of filament-wound composite tubes under external pressure loadings,” in: Proc. of the Int. Symp. on Composite Materials and Structures, Peking, China (1986), pp. 315–320.

  9. G. J. Simitses and J. S. Anastasiadis, “Shear deformable theories for cylindrical laminates-equilibrium and buckling with applications,” AIAA J., 30, 826–834 (1992).

    Google Scholar 

  10. G. J. Simitses, An Introduction to the Elastic Stability of Structures, Prentice Hall, Englewood Cliffs, N. J., pp. 221–231.

  11. J. N. Reddy and M. Savoia, “Layer-wise shell theory for postbuckling of laminated circular cylindrical shells,” AIAA J., 30, 2148–2154 (1992).

    Article  Google Scholar 

  12. M. R. Eslami, M. Shariyat, and M. Shakeri, “Layerwise theory for dynamic buckling and postbuckling of laminated cylindrical shells,” AIAA J., 36, 1874–1882 (1998).

    CAS  Google Scholar 

  13. M. R. Eslami and M. Shariyat, “A higher-order theory for dynamic buckling and postbuckling analysis of laminated cylindrical shells,” ASME J. Press. Vessel Technol., 121, 94–102 (1999).

    Google Scholar 

  14. A. Yousefpour and M. N. Ghasemi Nejhad, “Design, analysis, manufacture, and test of APC-2/AS4 thermoplastic composite pressure vessels for deep water marine applications,” J. Compos. Mater., 38, 1701–1732 (2004).

    Article  Google Scholar 

  15. H. S. Shen and T. Y. Chen, “A boundary layer theory for the buckling of thin cylindrical shells under external pressure,” Appl. Math. Mech., 9, 557–571 (1988).

    Article  Google Scholar 

  16. H. S. Shen and T. Y. Chen, “A boundary layer theory for the buckling of thin cylindrical shells under axial compression,” in: W. Z. Chien and Z. Z. Fu (eds.), Advances in Applied Mathematics and Mechanics in China. Vol. 2, International Academic Publishers, Beijing, China (1990), pp. 155–172.

    Google Scholar 

  17. H. S. Shen, Postbuckling Behavior of Plates and Shells [in Chinese], Science and Technological Press, Shanghai, China (2002).

    Google Scholar 

  18. J. N. Reddy and C. F. Liu, “A higher-order shear deformation theory of laminated elastic shells,” Int. J. Eng. Sci., 23, 319–330 (1985).

    Article  Google Scholar 

  19. H. S. Shen, “Thermal buckling and postbuckling of laminated plates,” in: N. E. Shanmugam and C. M. Wang (eds.), Analysis and Design of Plated Structures. Vol. 1. Stability, Woodhead Publishing Ltd. (2006), pp. 170–213.

  20. S. B. Batdorf, A Simplified Method of Elastic-Stability Analysis for Thin Cylindrical Shells, NACA TR-874 (1947).

  21. X. Wang, G. Lu, and D. G. Xiao, “Non-linear thermal buckling for local delamination near the surface of laminated cylindrical shell,” Int. J. Mech. Sci., 44, 947–965 (2002).

    Article  Google Scholar 

  22. Anup Ghosh and P. K. Sinha, “Dynamic and impact response of damaged laminated composite plates,” Aircraft Eng. Aerosp. Technol., 76, 29–37 (2004).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 43, No. 6, pp. 789–822, November–December, 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, ZM. Postbuckling of a shear-deformable anisotropic laminated cylindrical shell under external pressure in thermal environments. Mech Compos Mater 43, 535–560 (2007). https://doi.org/10.1007/s11029-007-0050-y

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11029-007-0050-y

Keywords

Navigation