Summary
The problem considered here is that of a thin-walled circular cylindrical shell whose external surface is submitted to uniform fluid pressure. The condition under which bifurcation will occur in the shell beyond the elastic limit is examined and the true tangent modulus formula for the plastic buckling is established. Numerical results are presented for the critical pressure, covering both elastic and plastic ranges of buckling.
Zusammenfassung
Einige Betrachtungen über das Verzweigungsproblem einer dünnen Kreiszylinderschale mit homogen verteiltem Aussendruck führen zu einem exakten Ausdruck für die kritische Last im elastisch-plastischen Bereich. Verschiedene numerische Resultate für die kritische Last im elastischen sowie im plastischen Bereich werden angegeben.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
R. Hill,A General Theory of Uniqueness of Stability in Elastic/Plastic Solids, J. Mech. Phys. Solids,6, 236 (1958).
J. Chakrabarty,On the Problem of Uniqueness under Pressure Loading, Z. angew. Math. Phys.,20, 696 (1969).
W. Prager,An Elementary Discussion of Definition of Stress Rate, Quart. Appl. Math.,18, 403 (1960).
R. Hill,Some Basic Principles in the Mechanics of Solids Without a Natural Time, J. Mech. Phys. Solids,1, 209 (1959).
J. Chakrabarty,On Uniqueness and Stability in Rigid/Plastic Solids, Int. J. Mech. Sci.,11, 723 (1969).
V.V. Novozhilov,Thin Shell Theory, p. 46 (Noordhoff, Groningen, 1964).
S. Timoshenko,Theory of Elastic Stability, p. 476 (McGraw Hill, New York 1961).
R.N. Dubey,Instabilities in Thin Elastic/Plastic Tubes, Int. J. Solids Struct.,5, 699 (1969).
P. Batterman,Plastic Stability of Spherical Shells, Trans. ASCE, Eng. Mech. Div.,95, 433 (1969).
P.P. Bulaard,Theory and Tests on the Plastic Stability of Plates and Shells, J. Aero. Sci.,16, 529 (1949).
G. Gerard,Plastic Stability Theory of Thin Shells, J. Aero. Sci.,24, 269 (1957).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chakrabarty, J. Plastic buckling of cylindrical shells subjected to external fluid pressure. Z. Angew. Math. Phys. 24, 270–280 (1973). https://doi.org/10.1007/BF01590918
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF01590918