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A new type of titanium alloy for the pressure shell of a manned deep-sea submersible is studied. The fatigue performance and the fracture toughness of the titanium alloy are obtained under R = 0.03, 0.3, and 0.5. The curves of fatigue crack growth rate under three load ratios are predicted based on the existing fatigue crack growth rate prediction model. The results show that the fatigue crack growth threshold decreases with the increase of the load ratio, and the fatigue crack growth rate increases with the increase of the load ratio. The fatigue crack growth prediction model can accurately predict the fatigue crack growth rate of titanium alloy under different load ratios.