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Titanium alloys are widely used in many domains due to their excellent high specific strength and corrosion resistance. Stress plays a very important role in the application of titanium alloys. In order to shed light on the titanium alloys corrosion mechanisms under varying stress conditions, this paper first reviewed the impact of elastic and plastic stress on the corrosion behavior of titanium alloys. And then reviewed the influence of stress caused by surface treatment, such as laser welding, laser strengthening, and ultrasonic surface treatment, on corrosion behavior. Finally reviewed the effect of factors, including temperature, pH value, oxygen content and alloying elements, on titanium alloys corrosion behavior with stress. Hope this work demonstrated clearly that the corrosion mechanism of titanium alloy with various stress, and offering valuable support for future research and applications. [ABSTRACT FROM AUTHOR]