Knockdown factors for buckling of cylindrical and spherical shells subject to reduced biaxial membrane stress.

*(English)*Zbl 1193.74045Summary: Cylindrical shells under uniaxial compression and spherical shells under equi-biaxial compression display the most extreme buckling sensitivity to imperfections. In engineering practice, the reduction of load carrying capacity due to imperfections is usually addressed by use of a knockdown factor to lower the critical buckling stress estimated or computed without accounting for imperfections. For thin elastic cylindrical shells under uniaxial compression and spherical shells under equi-biaxial compression, the knockdown factor is typically as small as 0.2. This paper explores the alleviation of imperfection-sensitivity for loadings with a reduced circumferential (transverse) membrane stress component. The analysis of Koiter (1963) on the effect of an axisymmetric imperfection on the elastic buckling of a cylindrical shell under uniaxial compression is extended to both cylinders and spheres for loadings that produce general combinations of biaxial membrane stresses. Increases in the knockdown factor due to a reduction of the transverse membrane component are remarkably similar for cylindrical and spherical shells.

##### Keywords:

buckling; imperfection-sensitivity; knockdown factors; cylindrical shells; spherical shells
PDF
BibTeX
XML
Cite

\textit{J. W. Hutchinson}, Int. J. Solids Struct. 47, No. 10, 1443--1448 (2010; Zbl 1193.74045)

Full Text:
DOI

##### References:

[1] | Budiansky, B.; Hutchinson, J. W.: Buckling of circular cylindrical shells under axial compression, , 239-260 (1972) |

[2] | Hutchinson, J. W.: Axial buckling of pressurized imperfect cylindrical shells, Aiaa j. 3, 1461-1465 (1965) |

[3] | Hutchinson, J. W.: Imperfection sensitivity of externally pressurized spherical shells, J. appl. Mech., 48-55 (1967) · Zbl 0159.27006 · doi:10.1115/1.3607667 |

[4] | Koiter, W.T., 1945. On the stability of elastic equilibrium (in Dutch with English summary). Thesis Delft, H.J. Paris, Amsterdam. |

[5] | Koiter, W. T.: The effect of axisymmetric imperfections on the buckling of cylindrical shells under axial compression, Kon. neder. Acad. wet. B 66, 265-279 (1963) · Zbl 0117.19103 |

[6] | Koiter, W. T.: A.m.a.van der heijdenelastic stability of solids and structures, Elastic stability of solids and structures (2009) |

[7] | Limam, A., Jullien, J.F., Grego, E., Lestrat, D., 1991. Buckling of thin-walled cylinders under axial compression and internal pressure. In: Jullien, J.F. (Ed.), Proceedings of the International Colloquium on Buckling of Shell Structures on Land, in the Sea and in the Air, Lyon, September 1991, Elsevier, Amsterdam, pp. 359 – 369. |

[8] | Mathon, C.; Limam, A.: Experimental collapse of thin cylindrical shells submitted to internal pressure and pure bending, J. thin-wall struct. 44, No. 1, 39-50 (2006) |

[9] | NASA SP-8007, 1965. Buckling of thin-walled circular cylinders. |

[10] | Rotter, J. M.; Zhang, Q.: Elastic buckling of imperfect cylinders containing granular solids, J. struct. Eng. 116, No. 8, 2253-2271 (1990) |

[11] | Seide, P., Weingarten, V.I., Morgan, E.J., 1960. The development of design criteria for elastic stability of thin shell structures. Final Report: STL/TR-60-0000-19425, Space Technology Laboratories, Inc., Los Angles, CA, December 1960. |

[12] | Teng, J. -G.; Rotter, J. M.: Buckling of pressurized axisymmetrically imperfect cylinders under axial loads, J. eng. Mech. 118, No. 2, 229-247 (1992) |

[13] | Yao, J. C.: Buckling of a truncated hemispherical under axial tension, Aiaa j. 1, 2316-2319 (1963) |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.