Ratchetting rates for a bree cylinder subjected to in-phase and out-of-phase loading

Abstract

The work of Bree (1)† led to an understanding of the behaviour of a thin cylinder when subjected to an alternating through-wall thermal gradient together with a continuous internal pressure. Other physical situations require the same understanding when such a cylinder is subjected to these loads, but when both are cyclical in nature. We consider here the circumstance of the loads changing in-phase and out-of-phase. Bree type diagrams depicting zones of elastic, shakedown, plasticity, and ratchetting regimes are presented. A full analysis leading to ratchetting rates is given. It is found that for both in-phase and out-of-phase loading the ratchet rates are less than those given by Bree.