This paper presents the evolution of the surface crack front in prestressing reinforced concrete steel wires subjected to fatigue in air and to corrosion-fatigue in Ca(OH) 2 +NaCl. To this end, a numerical modelling was made on the basis of a discretization of the crack front (with elliptical shape), considering that the crack advance at each point is perpendicular to such a front according to a Paris-Erdogan law, and using a threeparameter solution for stress intensity factor (SIF). Each analyzed case (a particular initial crack geometry) was characterized by the evolution of the semielliptical crack aspect ratio (relation between the semiaxes of the ellipse) with the relative crack depth and by the variation of the maximum dimensionless SIF at the crack front.
Keywords: numerical modelling, fatigue crack propagation, prestressing steel bars, Ca(OH) 2 +NaCl corrosion-fatigue.The fatigue behaviour of cold drawn eutectoid steel, frequently used as reinforcement in prestressed concrete, had received attention in the past, both in air [1] and in aggressive environments [2][3][4][5][6]. NaCl corrosion-fatigue affects the fatigue performance of high strength steel by increasing the crack growth rate in relation to its value in inert environment [3,4], this effect being even higher if the environment is constituted by Ca(OH) 2 +NaCl [5].When cylindrical rods (bars, wires, shafts…) are used, transverse cracking by fatigue usually takes place in the form of surface cracks with a semielliptical shape [7]. Growth of surface cracks in round bars due to fatigue can be modelled using different criteria, e.g., prediction of the 90° intersecting angle of the crack with the surface or the iso-K criterion along the crack front [8]. Another criterion is based on the crack growth according to the Paris-Erdogan law [9], considering the crack advance perpendicular to the crack front, assuming elliptic geometry for the growing crack [10,11] or avoiding the shape hypothesis, i.e., allowing the crack to grow with any shape [12].Material. This paper studies the corrosion-fatigue crack propagation in prestressing steel wires (chemical composition: 0.82% C; 0.60% Mn; 0.18% Si; 0.010% P and 0.024% S) of 7 mm diameter. Mechanical properties of the steel were obtained by Singh and Sánchez-Gálvez . Fatigue tests were performed [5] under 1 Hz sinusoidal wave and R-ratio equal to 0.5 in both air and aggressive environment consisting of 1 g/l Ca(OH) 2 + 1 g/l NaCl solution at free corrosion potential, and results were fitted to a Paris-Erdogan law [9] in the form:obtaining the coefficients of the Paris law for prestressing steel in both environments.