A monolithic titanium alloy having, in a temperature range (ΔT) and at atmospheric pressure: an outer peripheral zone of a microstructure having a modulus of elasticity (E1) and possessing superelastic properties in the range (ΔT), and a core of a microstructure having a modulus of elasticity (E2), and possessing elastic properties in the range (ΔT) the microstructures and being different from one another, and the modulus of elasticity (E1) being lower than said modulus of elasticity (E2).