Abstract
An analytical solution is presented for the bursting conditions of thin-walled cylinders with finite length diameter ratios, L D . The approach is based on the Ludwik strain-hardening law, the Mises effective stress-strain criterion and the total deformation theory of plastic flow. The ends of the cylinder are held against radial growth, but are permitted to translate laterally. Closed-form solutions are obtained on the assumption that the bulged meridional profile can be represented by successively larger circular sections at increasing pressures. Numerical calculations were carried out for L D varying between 1 and ∞, and for values of the strain-hardening exponent, n, ranging from 0 to 1.0.
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