Flux-cored wire

A flux-cored wire for gas-shielded arc welding, the flux-cored wire including a sheath filled with a flux, comprising, based on a total mass of the wire:

• Fe:
• 40% or more by mass and 70% or less by mass;
• Cr:
• 15.0% or more by mass and 25.0% or less by mass;
• Ni:
• 5.0% or more by mass and 11.0% or less by mass;
• Si:
• 0.5% or more by mass and 3.0% or less by mass;
• Mn:
• 0.5% or more by mass and 5.0% or less by mass;
• Na and K in total:
• 0.05% or more by mass and 1.0% or less by mass;
• TiO2:
• 3.0% or more by mass and 9.0% or less by mass;
• ZrO2:
• more than 1.0% by mass and 4.0% or less by mass;
• Al2O3:
• 0.3% or more by mass and 2.0% or less by mass;
• C:
• less than 0.015% by mass;
• Ti:
• 1.0% or less by mass;
• Mo:
• 2.0% or less by mass;
• Cu:
• 0.5% or less by mass;
• Al:
• 0.9% or less by mass;
• N:
• 0.040% or less by mass;
• and
• F:
• 0.30% or less by mass,
• wherein θ calculated from the following mathematical expression is 10.0 or more and 30.0 or less,
• θ=4.1×α−3.2×γ−32.3 (I)
• where letting a Si content be [Si] in terms of percentage by mass based on the total mass of the wire, letting a Cr content be [Cr] in terms of percentage by mass based on the total mass of the wire, letting a Mo content be [Mo] in terms of percentage by mass based on the total mass of the wire, letting a Ti content be [Ti] in terms of percentage by mass based on the total mass of the wire, letting a C content be [C] in terms of percentage by mass based on the total mass of the wire, letting a N content be [N] in terms of percentage by mass based on the total mass of the wire, letting a Mn content be [Mn] in terms of percentage by mass based on the total mass of the wire, letting a Cu content be [Cu] in terms of percentage by mass based on the total mass of the wire, and letting a Ni content be [Ni] in terms of percentage by mass based on the total mass of the wire,
• α=0.02×[Si]+[Cr]+1.20×[Mo]+0.3×[Ti]+0.30, and
• γ=24×[C]+28×[N]+0.25×[Mn]+0.5×[Cu]+1.10×[Ni].