Counter-intuitive breathing mode response of an elastic–plastic circular ring subjected to axisymmetric internal pressure pulse

Counter-intuitive phenomena have been observed in a range of structural elements such as beams and plates. It has been realised that the elastic–plastic non-linearity and the compressive instability are responsible for the occurrence of the observed counter-intuitive phenomena. Forrestal et al. [A counterintuitive region of response for elastic–plastic rings loaded with axisymmetric pressure pulses. Int J Impact Eng 1994;15(3):219–23] reported counter-intuitive response in an elastic–plastic circular ring subjected to axisymmetric internal pressure pulse. In this paper, it is shown that the counter-intuitive response observed by Forrestal et al. [A counterintuitive region of response for elastic–plastic rings loaded with axisymmetric pressure pulses. Int J Impact Eng 1994;15(3):219–23] is due to the combined effects of the plastic energy dissipation and the kinematic hardening of the ring material, which is totally different from the one responsible for the counter-intuitive responses observed in beams and plates. A single degree of freedom model and a corresponding FE model are employed for the breathing mode response of an elastic–plastic circular ring subjected to axisymmetric internal pressure pulse in this study.