The yield condition for a rotationally symmetric shell may be represented as a surface in a four-dimensional stress space. The exact yield surface according to the Tresca yield condition is compared with various approximations. A new approximation is suggested which combines the advantages of mathematical simplicity and reasonable accuracy. The theory is illustrated with reference to a spherical cap under uniform pressure.
Yield Conditions for Rotationally Symmetric Shells Under Axisymmetric Loading
P. G. Hodge, Jr.
Department of Mechanics, Illinois Institute of Technology, Chicago, Ill.
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Hodge, P. G. (June 1, 1960). "Yield Conditions for Rotationally Symmetric Shells Under Axisymmetric Loading." ASME. J. Appl. Mech. June 1960; 27(2): 323–331. https://doi.org/10.1115/1.3643960
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