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Plastic buckling of cylindrical shells under biaxial loading

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Abstract

The predictions for plastic buckling of shells are significantly affected by the plasticity model employed, in particular in the case of nonproportional loading. A series of experiments on plastic buckling of cylindrical aluminum alloy shells under biaxial loading (external pressure and axial tension), with well-defined loading and boundary conditions, was therefore carried out to provide experimental data for evaluation of the suitability of different, plasticity models. In the experiments, initial imperfections and their growth under load were measured and special attention was paid to buckling detection and load path control. The Southwell plot was applied with success to smooth the results. The results show that axial tension decreases resistance to buckling under external pressure in the plastic region due to ‘softening’ of the material behavior. Comparison with numerical calculations usingJ 2 deformation and incremental theories indicate that both theories do not predict correctly plastic buckling under nonproportional loading.

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References

  1. Giezen, J.J., “Plastic Buckling of Cylinders under Biaxial Loading,” PhD Thesis, SM 88-23, GALCIT, Cal. Inst. Tech. (June 1988).

  2. Bushnell, D. andGalletly, G.D., “Stress and Buckling of Internally Pressurized Elastic-Plastic Vessel Heads Comparisons of Test and Theory,”ASME J. Press. Vessel Tech.,99,39–53 (Feb. 1977).

    Google Scholar 

  3. Bushnell, D. andGalletly, G.D., “Nonsymmetric Buckling of Internally Pressurized Ellipsoidal and Torispherical Elastic-Plastic Pressure Vessel Healds,”ASME J. Press. Vessel Tech.,99,54–63 (1977).

    Google Scholar 

  4. Bushnell, D., “BOSOR5 — Program for Buckling of Elastic-Plastic Complex Shells of Revolution Including Large Deflections and Creep,”Comp. and Struct.,6,221–239 (1976).

    Google Scholar 

  5. Arbocz, J. and Babcock, C.D., “The Effect of General Imperfections on the Buckling of Cylindrical Shells,” Trans. ASME, Ser. 36, E, J. Appl. Mech., 28–38 (March 1969).

  6. Singer, J., Arbocz, J. andBabcock, C.D., “Buckling of Imperfect Stiffened Cylindrical Shells Under Axial Compression,”AIAA J.,9,68–75 (Jan. 1971).

    Google Scholar 

  7. Southwell, R.V., “On the Analysis of Experimental Observations in Problems of Elastic Stability,”Proc. Roy. Soc. of London,135,601–616 (April 1931).

    Google Scholar 

  8. Wang, C., “Inelastic Column Theories and An Analysis of Experimental Observations,”J. Aero. Sci.,15,283–292 (May 1948).

    Google Scholar 

  9. Singer, J., “On the Applicability of the Southwell Plot to Plastic Buckling,”Experimental Mechanics,29 (2),205–208 (1989).

    Google Scholar 

  10. Sobel, L.H., “The Southwell Method for Predicting Plastic Buckling Loads for Elbows,”J. Press. Vessel Tech.,105,2–8 (Feb. 1983).

    Google Scholar 

  11. Donell, L.H., “On the Application of Southwell's Method for the Analysis of Buckling Tests,”Stephan Timoshenko 60th Anniversary Volume, McGraw-Hill, New York, 27–38 (1938).

    Google Scholar 

  12. Galletly, G.D. andReynolds, T.E., “A Simple Extension of Southwell's Method for Determining the Elastic General Instability Pressure for Ring-Stiffened Cylinders Subject to External Hydrostatic Pressure,”Proc. Soc. Exp. Stress Analysis,13,141–152 (1956).

    Google Scholar 

  13. Bushnell, D., “BOSOR5 — A Computer Program for Buckling of Elastic-Plastic Complex Shells of Revolution Including Large Deflections and Creeps,”Vol. I; User's Manual, Input Data, LMSC D407166; Vol. II; User's Manual, Test cases, LMSC D407167; Vol III; Theory and Comparisons with Tests, LMSC D407168, Lockheed Missiles Space Co., Sunnyvale, CA (Dec. 1974).

    Google Scholar 

  14. Bushnell, D., “Bifurcation Buckling of Shells of Revolution Including Large Deflections, Plasticity and Creep,”Int. J. Solids Struct.,10,1287–1305 (1974).

    Google Scholar 

  15. Bushnell, D., “A Strategy for the Solution of Problems Involving Large Deflections, Plasticity and Creep,”Int. J. Num. Meth. Eng.,11,683–708 (1977).

    Google Scholar 

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Babcock (SEM Member), deceased, was Professor of Aeronautics and Applied Mechanics, California Institute of Technology, Pasadena, CA 91125.

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Giezen, J.J., Babcock, C.D. & Singer, J. Plastic buckling of cylindrical shells under biaxial loading. Experimental Mechanics 31, 337–343 (1991). https://doi.org/10.1007/BF02325990

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  • DOI: https://doi.org/10.1007/BF02325990

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