Abstract

An approximate solution is presented for the bursting strength of thin- walled cylinders with hemispherically capped ends. Deformation theory of plasticity is used, together with the Mises yield criterion and its associated flow rule. Solutions are presented for materials that strain-harden according to a Ludwik power law relation ship. Results obtained are compared with those for cylinders with rigid ends to determine the influence of end restraint on burst pressure. Numerical results are presented for cylinder lengths varying from zero to infinity and for a range of hardening coefficients from 0 to 1.0. For cylinders with a length/diameter ratio 1 larger than 2, the effect of end restraint, as represented by spherical heads or rigid caps, upon the burst strength is small, amounting to less than 13%. However, for values of 1 < 2.0, this effect becomes significant, the rigidly capped cylinder being considerably stronger than the hemispherically headed one. Furthermore, both shells are considerably stronger than the infinitely long cylinder. (auth)

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