Abstract
This paper is concerned with radially symmetrical deformations of arbitrary magnitude arising from the application of uniform pressure to the outer surface of a thick-walled spherical shell of ductile metal. The metal is assumed to exhibit elastic/work-hardening plastic behaviour, and it is further assumed that the elastic compressibility is negligible and that the increase of the yield stress due to work-hardening is proportional to the equivalent plastic strain. Subject to these restrictions, exact solutions are obtained for the distributions of stress and displacement in the shell when the applied pressure is increased monotonically, and when monotonic unloading subsequently takes place. Expressions are also derived for the work done in reducing the internal radius of the shell to a specified value. Illustrative numerical results are given for a thick copper shell.
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