With the flexibility operation demand of the plants, the load change becomes more and more often. The torsion loading due to load change becomes larger and more frequent. The influence of torsion loading frequency (the number of repeating cycles in a unit time) on the stress-strain behavior of component was numerically investigated under non-proportional loadings. A hollow cylinder specimen was chosen in this study. And three conditions of non-proportional loadings (Case1, Case2 and Case3) were chosen. The relationships between cyclic stress response and cyclic strain response were obtained for Case1, Case2 and Case3. The numerical results revealed that the distortion of stress-strain response curve was intensified with the increase of torsion loading frequency. The cyclic softening behaved in the first 2 cycles for the tension and torsion stress responses; however, the characterizations of the cyclic hardening and the cyclic softening for the material appeared after the starting 2 cycles. Furthermore, with the increase of cycle number and torsion loading frequency, there is a significant difference between the tension stress response and the torsion stress response.

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