Electrochemical Noise Measurements of Advanced High-Strength Steels in Different Solutions

Advanced high-strength steels (AHSS), are commonly used in the manufacture of car bodies, as well as in front and rear rails, and safety posts. These components can be exposed to corrosive environments for instance, in countries where de-icing salts are used. In this work, the corrosion behavior of four AHSS steels with dual-phase [ferrite-martensite (DP) and ferrite-bainite (FB)] steels were studied by means of electrochemical noise (EN) measurements according to the ASTM G199-09 standard in NaCl, CaCl2 and MgCl2 aqueous solutions at room temperature. The direct current (DC) trend data from EN were removed by a polynomial method of statistical and spectral analysis. According to the noise resistance (Rn) values obtained for the DP and FB dual-phase steels, both the martensite/bainite content and morphology of the phase constituents have an important effect on the corrosion behavior of these steels. The L.I. (localization index) (0.00054 to 0.15431), skewness (−6.18 to 7.35) and kurtosis (high values 37.15, 74.84 and 106.52) were calculated. In general, the results indicated that the main corrosion process is related to uniform corrosion. Corrosion behavior of AHSS steels exposed in NaCl solution could be related to the morphology of the phase constituents exposed in NaCl, CaCl2 and MgCl2 solutions.


Introduction
Advanced high-strength steels (AHSS) can be defined as two-or more phase alloys which provide a strength-ductility balance superior to that of single-phase steels, such as conventional high-strength steels (HSS) and high strength low alloy steels (HSLA) [1]. The AHSS have been implemented in the automotive industry for decades as different types of steels such as transformation-induced plasticity (TRIP), dual-phase steels (DP)/ferrite-bainite (FB), complex phase steels (CP), among others [2].
Dual-phase steels usually consist of some specific volume fraction of high-strength phase, such as martensite or bainite, embedded in a softer matrix, ferrite. Intercritical heat treatment is the way to enhance low alloy (carbon content less than 0.2%) steels to DP (ferrite + martensite) microstructure. In this treatment, a two-stage thermal cycle is used consisting of an intercritical annealing followed by fast cooling to promote the transformation of the intercritical austenite to martensite [3]. In fact, by because of the weaker galvanic couple between ferrite and martensite compared to that between ferrite and pearlite. In addition, an increasing volume fraction of martensite increases the corrosion rate [11]. The previous results are supported in reference [22] where similar behavior was found for different DP steels in a solution containing chloride ions. Another investigation shows that DP steel has a corrosion potential between carbon steel and martensitic steel. Galvanic action between the ferrite and martensite phases leads to selective corrosion of the ferrite phase in NaCl solution [23]. It has been reported that galvanic corrosion in DP steel occurs because martensite is structurally and compositionally closer to ferritic matrix, therefore, the galvanic couple formed between ferrite-martensite is weaker compared to the galvanic couple between ferrite and cementite. The above implies that corrosion of DP steel is driven by not only galvanic coupling of ferrite and martensite phases but also other phases. Competition of the ferrite self-corrosion and the galvanic corrosion between ferrite and martensite contribute to the corrosion of this type of steel [24].
On the other hand, a study of the corrosion behavior of DP600 and DP800 steels in 3.5% NaCl solution indicated that the corrosion resistance of DP800 steel was higher than that of the DP600 steel in 3.5 wt.% NaCl solution based of Nyquist diagrams, moreover, potentiodynamic curves showed similar corrosion behavior and corrosion currents densities of 12 µA/cm 2 and 17 µA/cm 2 to DP800 and DP600, respectively [25]. In [26,27] it was reported that DP steel with single MnS inclusions had the worst resistance to pitting corrosion in NaCl solution.
The aim of this work was to study the corrosion behavior of four AHSS [DP (ferrite-martensite) and FB (ferrite-bainite) microstructures] steels immersed in three solutions 3.5 wt.% NaCl, 2 wt.% CaCl 2 and 2 wt.% MgCl 2 . The electrochemical properties of the AHSS have been studied using the electrochemical noise technique.

Materials
The dual-phase (DP) and ferritic-bainitic (FB) steels are the prevalent AHSS grades that are currently in commercial use, were designated as DP590 (Rm = 590 MPa) and DP780 (Rm = 780 MPa) for ferrite/martensite microstructure and FB590 (Rm = 590 MPa) and FB780 (Rm = 780 MPa) for ferrite/bainite microstructure. Table 1 presents the chemical compositions (obtained by X-ray fluorescence) (Olympus DELTA XRF, Webster, TX, USA) of DP and FB AHSS steels used in this work.

Microstructural Characterization and Hardness Test
The AHSS surfaces were ground up to 4000 grit size and subsequently a final polishing was undertaken with velvet cloth using 0.1 µm alumina suspension in water to obtain a mirror-like surface. The etching of the polished samples was undertaken by using 5 wt.% Nital solution. The microstructure of specimens was examined by scanning electron microscopy (SEM, JEOL-JSM-5610LV, Tokyo, Japan) at a magnification of 2000×. For corrosion tests, AHSS samples were ground to 800 grit SiC paper.
Vickers hardness (Vickers durometer, Wilson 402 MVD, Aachen, Deutschland) of all AHSS was taken at 5 kgf load with a loading duration of 15 s in all cases.

Electrochemical Technique
The EN technique was used to evaluate the corrosion behavior of different advanced high-strength steels in 3.5% NaCl, 2% CaCl 2 and 2% MgCl 2 solutions. EN measurements were carried out according to ASTM G199-09 standard [28], which allows the noise resistance (R n ) and corrosion rate evaluation to be determined in a corrosive medium. For each experiment, two nominally identical specimens were used as the working electrodes (WE1 and WE2) and a saturated calomel electrode as the reference electrode (RE), respectively. Electrochemical current noise (ECN) was measured as the galvanic coupling current between the two identical working electrodes; simultaneously, the electrochemical potential noise (EPN) was measured between one of the working electrodes and the reference electrode. The current and potential electrochemical noise was monitored with respect to time for each particular electrode-electrolyte combination, under open-circuit condition. EN measurements were carried out one hour after having obtained the stabilization potential in open circuit. For each set of EN measurements, 1024 data points were obtained with a scanning rate of 1 data/s. The current and potential time series were visually analyzed to interpret the signal transients and define the behavior of the frequency and amplitude of the fluctuations as a function of time. The electrochemical noise measurements were recorded simultaneously using a Gill-AC potentiostat/galvanostat/ZRA (Zero Resistance Ammeter) from ACM Instruments (Manchester, UK).
After direct current (DC) trend removal by polynomial method, the EN data were analyzed. A Hann window was applied before computing the PSD (power spectral density) plots. The EN data were transformed into frequency domain by using the fast Fourier transformation (FFT) method to study the PSD. The calculations were performed by MATLAB 2014a software (MathWorks, Natick, MA, USA).

Microstructure
A typical morphology of the microstructure of dual-phase was observed in DP and FB steels, Figure 1. No pearlite, i.e., lamellar eutectic microstructure of ferrite and cementite, was observed next to martensite or in ferrite phases, which could relate to a rapid transformation from the austenite phase.

Electrochemical Technique
The EN technique was used to evaluate the corrosion behavior of different advanced highstrength steels in 3.5% NaCl, 2% CaCl2 and 2% MgCl2 solutions. EN measurements were carried out according to ASTM G199-09 standard [28], which allows the noise resistance (Rn) and corrosion rate evaluation to be determined in a corrosive medium. For each experiment, two nominally identical specimens were used as the working electrodes (WE1 and WE2) and a saturated calomel electrode as the reference electrode (RE), respectively. Electrochemical current noise (ECN) was measured as the galvanic coupling current between the two identical working electrodes; simultaneously, the electrochemical potential noise (EPN) was measured between one of the working electrodes and the reference electrode. The current and potential electrochemical noise was monitored with respect to time for each particular electrode-electrolyte combination, under open-circuit condition. EN measurements were carried out one hour after having obtained the stabilization potential in open circuit. For each set of EN measurements, 1024 data points were obtained with a scanning rate of 1 data/s. The current and potential time series were visually analyzed to interpret the signal transients and define the behavior of the frequency and amplitude of the fluctuations as a function of time. The electrochemical noise measurements were recorded simultaneously using a Gill-AC potentiostat/galvanostat/ZRA (Zero Resistance Ammeter) from ACM Instruments (Manchester, UK).
After direct current (DC) trend removal by polynomial method, the EN data were analyzed. A Hann window was applied before computing the PSD (power spectral density) plots. The EN data were transformed into frequency domain by using the fast Fourier transformation (FFT) method to study the PSD. The calculations were performed by MATLAB 2014a software (MathWorks, Natick, MA, USA).

Microstructure
A typical morphology of the microstructure of dual phase was observed in DP and FB steels, Figure 1. No pearlite, i.e., lamellar eutectic microstructure of ferrite and cementite, was observed next to martensite or in ferrite phases, which could relate to a rapid transformation from the austenite phase.  Steel microstructure was defined as a result of observation of metallographic specimen, etched in Nital 5 wt.% with the scanning electron microscope. The microstructure of DP590 and DP780 steels typically consists of a soft ferrite phase (dark grains) and islands of martensite (bulk martensite) with different relative volume of martensite islands on ferrite matrix i.e., 40% and 55% for DP590 and DP780, respectively [29][30][31][32], according to their theoretical tensile strength, (Figure 1a,b). The martensite island revealed an average size of about 5 and 2 µm in DP590 and DP780 steels, respectively. Similarly, the FB590 and FB780 steels have a mixed microstructure composed of soft ferrite (dark grains) and harder bainite (bright grains), Figure 1c,d [1,[29][30][31][32][33][34]. The ferrite-bainite microstructure is finer than ferrite-martensite microstructure for the typical DP steel microstructure. Microstructural features which allow higher elongation and impact energy than DP steels can be related to the coarse plates of martensite in this microstructure [35]. The microstructure of FB steels consists of about 30% and 45% bainite and a ductile ferrite matrix with an average grain size of about 4 and 2 µm, in FB590 and FB780 steels, respectively. Figure 2 shows the DC trend for current and potential noise data as a function of time of DP590 and DP780 steels immersed into the 3.5% NaCl solution. The DC trend for current and potential signals for the other steels (FB590 and FB780) in the different solutions (CaCl 2 and MgCl 2 solutions) was similar. The current and potential noise time series presented a considerable trend as the time increases as follows: The potential noise decreases exponentially to active potentials until the electrochemical system reaches stability and the current noise decreases. Steel microstructure was defined as a result of observation of metallographic specimen, etched in Nital 5 wt.% with the scanning electron microscope. The microstructure of DP590 and DP780 steels typically consists of a soft ferrite phase (dark grains) and islands of martensite (bulk martensite) with different relative volume of martensite islands on ferrite matrix i.e., 40% and 55% for DP590 and DP780, respectively [29][30][31][32], according to their theoretical tensile strength, (Figure 1a,b). The martensite island revealed an average size of about 5 and 2 µm in DP590 and DP780 steels, respectively. Similarly, the FB590 and FB780 steels have a mixed microstructure composed of soft ferrite (dark grains) and harder bainite (bright grains), Figure 1c,d [1,[29][30][31][32][33][34]. The ferrite-bainite microstructure is finer than ferrite-martensite microstructure for the typical DP steel microstructure. Microstructural features which allow higher elongation and impact energy than DP steels can be related to the coarse plates of martensite in this microstructure [35]. The microstructure of FB steels consists of about 30% and 45% bainite and a ductile ferrite matrix with an average grain size of about 4 and 2 µm, in FB590 and FB780 steels, respectively. Figure 2 shows the DC trend for current and potential noise data as a function of time of DP590 and DP780 steels immersed into the 3.5% NaCl solution. The DC trend for current and potential signals for the other steels (FB590 and FB780) in the different solutions (CaCl2 and MgCl2 solutions) was similar. The current and potential noise time series presented a considerable trend as the time increases as follows: the potential noise decreases exponentially to active potentials until the electrochemical system reaches stability and the current noise decreases. The DC trend is defined as the variation of the mean current or potential divided by time. If the two electrodes are nominally identical electrodes in the measurement of electrochemical noise, the mean value of the difference of potential and current flowing between them would be expected to be zero [35]. The EN signals should appear as quasi-random fluctuations around zero. However, this was not the case for the AHSS steels in the present investigation. Thus, a method is proposed to eliminate the trend and subsequently study the transients of each signal. A time series model x(t), as depicted in Figure 2, can be described as an additive component representing different process as:

Electrochemical Noise
where mt is a slowly changing function (trend component), st is a function with known period d referred to as a seasonal component and finally Yt component which is related with to random noise [19]. In fact, in a time series of EN measurement the trend component is concerned with the DC trend, which the DC component can affect the statistical result of electrochemical noise tests due to instability of the tested electrode during the measurement period [36][37][38][39][40]. Polynomial detrending is a method of high-pass filtering commonly used for DC trend removal in order to avoid the large distortions in the later processing of noise data. Let us consider a signal: The DC trend is defined as the variation of the mean current or potential divided by time. If the two electrodes are nominally identical electrodes in the measurement of electrochemical noise, the mean value of the difference of potential and current flowing between them would be expected to be zero [35]. The EN signals should appear as quasi-random fluctuations around zero. However, this was not the case for the AHSS steels in the present investigation. Thus, a method is proposed to eliminate the trend and subsequently study the transients of each signal. A time series model x(t), as depicted in Figure 2, can be described as an additive component representing different process as: where m t is a slowly changing function (trend component), s t is a function with known period d referred to as a seasonal component and finally Y t component which is related with to random noise [19]. In fact, in a time series of EN measurement the trend component is concerned with the DC trend, which the DC component can affect the statistical result of electrochemical noise tests due to instability of the tested electrode during the measurement period [36][37][38][39][40]. Polynomial detrending is a method of high-pass filtering commonly used for DC trend removal in order to avoid the large distortions in the later processing of noise data. Let us consider a signal: where a i is the i-th coefficient of the trend approximating the polynomial evaluated for a discrete time n. Trend removal by polynomial approximation is based in the approximation of the trend by a polynomial of a given order p 0 . The approximated trend is fitted to the analyzed time record. The polynomial is subtracted from the acquired data x n to determine the signal y n [41,42]. The DC trend data EN were removed by using 9-order polynomial (p 0 = 9). A large DC trend in y n was noted for lower polynomial degrees (p 0 < 9). DC removal noise data of DP and FB steels in different solutions are shown in Figures 3 and 4. The current and potential time series for electrochemical noise signals show different behaviors for different corrosion systems. High-frequency fluctuations in a short period of time were observed for DP590 steel in MgCl 2 solution and DP780 steel in NaCl solution. In the case of FB steels, the same EN behavior occurred in FB590 and FB780 in CaCl 2 solution. Physically, these fluctuations can be associated with the superposition of multiple anodic and cathodic events, whereby a small variation under an anode process is compensated by a cathodic event, which prevents a sudden change in current, and it gives as result on the surface of advanced steels DP various points that are associated with generalized corrosion. A low and constant amplitude in potential and current signal was characteristic for FB590 and FB780 steels.
where ai is the i-th coefficient of the trend approximating the polynomial evaluated for a discrete time n. Trend removal by polynomial approximation is based in the approximation of the trend by a polynomial of a given order p0. The approximated trend is fitted to the analyzed time record. The polynomial is subtracted from the acquired data xn to determine the signal yn [41,42]. The DC trend data EN were removed by using 9-order polynomial (p0 = 9). A large DC trend in yn was noted for lower polynomial degrees (p0 < 9). DC removal noise data of DP and FB steels in different solutions are shown in Figures 3 and 4. The current and potential time series for electrochemical noise signals show different behaviors for different corrosion systems. High-frequency fluctuations in a short period of time were observed for DP590 steel in MgCl2 solution and DP780 steel in NaCl solution. In the case of FB steels, the same EN behavior occurred in FB590 and FB780 in CaCl2 solution. Physically, these fluctuations can be associated with the superposition of multiple anodic and cathodic events, whereby a small variation under an anode process is compensated by a cathodic event, which prevents a sudden change in current, and it gives as result on the surface of advanced steels DP various points that are associated with generalized corrosion. A low and constant amplitude in potential and current signal was characteristic for FB590 and FB780 steels.  For DP590 samples in NaCl solution, transients showed an extremely sharp rise in current and voltage followed by an equally sharp fall back to the mean value. These types of transitory event were characterized as the smallest of the transients and identified readily. In addition, other type of transients were presented in this corrosion system i.e., current transients with very sharp initial rise and subsequent decay. In this time range the current proceeded to rise further for several seconds, before reaching an anodic maximum, and transients of one or perhaps two or three anodic peaks maximum. Other type of anodic transient was observed in DP780 steel in CaCl2 solution. This type of transitory was characterized by a very sharp increase in current and high recovery time to mean value (lasting up to several seconds). The DP780 steel in MgCl2 solution showed high-amplitude and low-frequency anodic-cathodic transients with a small recovery in their original value. In any case, the voltage and current fluctuations often occurred simultaneously.
The noise resistance, Rn [38] was calculated from the data after removing the DC trend in the time domain, as the ratio of the potential noise standard deviation, σ , and the current noise standard deviation, σ , depending on the exposed area a ( Figure 5).  For DP590 samples in NaCl solution, transients showed an extremely sharp rise in current and voltage followed by an equally sharp fall back to the mean value. These types of transitory event were characterized as the smallest of the transients and identified readily. In addition, other type of transients were presented in this corrosion system i.e., current transients with very sharp initial rise and subsequent decay. In this time range the current proceeded to rise further for several seconds, before reaching an anodic maximum, and transients of one or perhaps two or three anodic peaks maximum. Other type of anodic transient was observed in DP780 steel in CaCl 2 solution. This type of transitory was characterized by a very sharp increase in current and high recovery time to mean value (lasting up to several seconds). The DP780 steel in MgCl 2 solution showed high-amplitude and low-frequency anodic-cathodic transients with a small recovery in their original value. In any case, the voltage and current fluctuations often occurred simultaneously.
The noise resistance, R n [38] was calculated from the data after removing the DC trend in the time domain, as the ratio of the potential noise standard deviation, σ v , and the current noise standard deviation, σ i , depending on the exposed area a ( Figure 5).
An inverse relationship between the reciprocal of noise resistance value, 1/R n , and mechanical strengths of both DP and FB steels was presented in NaCl solution. In effect, a higher value of 1/R n for DP590 steel and subsequently a low value for DP780 steel. Similar behavior was presented for ferritic-bainitic steels in this solution. In contrast, a reverse behavior took place for the AHSS steels when exposed in CaCl 2 solution (a higher 1/R n value in DP780 and FB780 steels than in DP590 and FB590 steels). An average value of R n after 1024 s of immersion in MgCl 2 solution was 0.00237 Ω·cm 2 for DP90, DP780 and FB590 steels (Table 2, and Figure 5). An inverse relationship between the reciprocal of noise resistance value, 1/Rn, and mechanical strengths of both DP and FB steels was presented in NaCl solution. In effect, a higher value of 1/Rn for DP590 steel and subsequently a low value for DP780 steel. Similar behavior was presented for ferritic-bainitic steels in this solution. In contrast, a reverse behavior took place for the AHSS steels when exposed in CaCl2 solution (a higher 1/Rn value in DP780 and FB780 steels than in DP590 and FB590 steels). An average value of Rn after 1024 s of immersion in MgCl2 solution was 0.00237 Ω·cm 2 for DP90, DP780 and FB590 steels (Table 2, and Figure 5). The noise resistance time series (Rn(t)) are presented in Figure 6. Rn(t) data indicated that transients were present. Different density of transients including different amplitudes at the time of the test was evidenced for all corrosion systems (e.g., high-frequency and amplitude transients in FB590 and FB780 steels in CaCl2 solution, low-frequency and high amplitude transients in FB780 in NaCl solution).  The noise resistance time series (R n (t)) are presented in Figure 6. R n (t) data indicated that transients were present. Different density of transients including different amplitudes at the time of the test was evidenced for all corrosion systems (e.g., high-frequency and amplitude transients in FB590 and FB780 steels in CaCl 2 solution, low-frequency and high amplitude transients in FB780 in NaCl solution). This type of transients are related to the susceptibility and corrosion type according to L.I., skewness and kurtosis statistical measurements [43].

L. I. =
(4) where and ̅ values are standard deviation of current noise and mean data noise of the no trend noise data, respectively, and value is root mean square current noise of the detrended noise This type of transients are related to the susceptibility and corrosion type according to L.I., skewness and kurtosis statistical measurements [43].
where σ i and x values are standard deviation of current noise and mean data noise of the no trend noise data, respectively, and i rms value is root mean square current noise of the detrended noise data. Table 2 shows the R n , L.I., skewness, kurtosis values and current (m i ) and potential (m v ) roll-off slope from PSD plot. Values of the L.I. parameter from 0.00054 to 0.15431 were calculated for the different corrosion systems. Skewness values from −6.18 to 7.35 were calculated from detrended current noise data. High values of kurtosis were calculated for DP590 in NaCl and CaCl 2 solutions, DP780 in CaCl 2 solution and FB780 in NaCl solution. Current skewness and kurtosis values were calculated from Equations (5) and (6) for the different AHSS steels in the different test solutions as can be seen in Table 2.
Values close to zero were calculated for skewness and close to 3 for kurtosis, however, high values for DP590 steel in CaCl 2 solution and DP780 steel in MgCl 2 solution were calculated. Here, a relationship can be observed: high skewness and kurtosis values correspond to high values of L.I. Typical PSD plots of current (black line) and potential (blue line) noise for DP and FB steels are shown in Figures 7 and 8, respectively. The PSD exhibited a non-dependence on frequency in the lower frequency range, while at high frequencies varied according to f n . The roll-off slope is represented as a red line over PSD behavior for each electrochemical system. The PSD current and potential slopes were in a range between −2.85 and −5.42 in the entire frequency range for FB590 steel in NaCl, CaCl 2 and MgCl 2 solutions. However, Table 2 shows that higher PSD current and potential slopes were obtained for corrosion systems involving DP590, DP780 and FB780 steels. . EN data in frequency domains for DP steels exposed in NaCl, CaCl2 and MgCl2 solutions.

Microstructure
In order to obtain the tensile strength required, the volume fraction of martensite/ferrite, bainite/ferrite and processing parameters must be adjusted to achieve the required mechanical properties [4,43,44]. In fact, the variation of hardness, yield strength, uniform elongation as a function to austempering temperature was reported to obtain ferrite bainite microstructures [45]. After brine quenching from 730 to 816 • C the martensite percentage increases in the ferrite matrix with increasing quenching temperature, therefore, a better response in tensile strength was obtained from stress-strain curves [46]. An increase in the intercritical annealing temperature and cooling rates on martensite volume fraction in ferrite plus martensite microstructure allowed an increase in hardness number and the tensile properties [47]. The predicted tensile strength was calculated using a modified relationship proposed by Davis as a function of hardness number [48].
Ultimate tensile strength, UTS(MPa) = 0.0017(VHN) 2 + 2.2494(VHN) + 123.31 (7) From Equation (7), Table 3 shows the predicted tensile strength values according to the hardness measured in the AHSS dual-phase steels used in the present work. The evolution of bulk hardness of both steels answered proportionally according to martensite and bainite volume fraction and theoretical tensile strength. The predicted tensile strength for DP590 and FB590 steels were similar to theoretical value; however, the predicted tensile strength to DP780 and FB780 steels were higher than the theoretical values. The high hardness value and, therefore, the predicted higher strength value can be attributed to the higher phase fraction of the hard second phase obtained from the intercritical quenching and austempering temperature. [48]. The average hardness in the ferrite + bainitic microstructure (FB590 steel) is similar to the average hardness of ferrite + martensite microstructure [49]. According to Table 3, the predicted tensile strength value for DP780 steel results from the microstructure obtained by the high intercritical temperature conditions used (at least 800 • C for 60 min) [50,51].

Corrosion Analysis
The corrosion reactions at the interface are related to the diffusion of ions such as dissolved oxygen, Cl − , Na + , Ca + , Mg + or H + that could diffuse through the electrolyte [52]. This adsorption of reactive anions on the oxide-covered or passivated metal surfaces can lead the chemical reaction of the anions with the metal ions in the oxide lattice, including the nucleation or initiation and repassivation of pits. The thinning of the oxide film by dissolution, including the propagation or development of direct attack and subsequently exposed metal can occur. At this stage, the voltage and current transients can be attributed to the collapsing/healing or activation/passivation transients of the passivated film on the metal surface [53]. In fact, potential fluctuation during passive film breakdown and repair could be broken down into four fundamental steps, (i) pit nucleation, (ii) pit growth, (iii) growth termination and (iv) repassivation [54]. Therefore, the current and potential transients in Figures 3 and 4 can be related to electrochemical phenomena. It has been reported that the coverage of the metallic surface by a pre-passive hydrous Fe(OH) 2 layer leads to a decrease in the dissolution rate of carbon steel as a result of inhibition of the current increase rate [55], therefore, the continuously decaying of current, as show in Figure 2, can be associated with the formation of a passive layer by ferrous species. A decrease in potential signal with lower amplitude and higher frequency transients as time increases could indicate a passive state, in effect, these trends appear because passive systems are highly polarizable, therefore small changes in current produce high changes in the potential signal. Another possible reason to explain this trend is the development of metastable pits which can be formed below the pitting potential [56].
Three possible typical forms of electrochemical noise transients by different types of corrosion processes have been reported: (i) Type I (Pitting) consists of transients of high intensity with a high repetition rate, (ii) Type II (Mixed) is a combination of transients of type I and oscillations of short amplitude, and (iii) Type III (Uniform) in which the pattern noise is formed by oscillations of low amplitude [57]. Therefore, the anodic current transients shown in DP590 steel in CaCl 2 solution can be due to localized breakdown of the passivity state, with these current transients indicating the nucleation of corrosion pits. Afterwards, a continuous decay in current could be associated with repassivation kinetics; however, once an activation and passivation process has occurred, the possibility of a small amount of dissolution from these nucleated sites cannot be precluded entirely; such dissolution could lead to a new activation and passivation reaction on the surface and lead to uniform corrosion as shown in the FB590 and FB780 steels in CaCl 2 solution. This behavior was characterized by a sudden fall and a sudden exponential rise, and the current transients showed a sudden rise and fall [58]. This type of behavior can be physically explained as follows: during initiation and propagation of pitting corrosion, an electron flow occurs from the pit site to the external metal surface which get stored within the passive film and double-layer capacitors and this cathodic consumption occurs over the entire surface giving rise to the exponential recovery both potential and current signals [19]. Generally, Cl − ions have stronger mobility than OH − and CO 2− 3 ions. Therefore, Cl − ions can diffuse readily into the cavity acidifying the local chemistry, resulting in accelerating pit growth [59]. In a study of the corrosion behavior of a dual-phase steel in acid media, two type of transients were reported: (i) one type of transients of low amplitude and small frequency and (ii) a type of transients of high amplitude with a small recovery time and very low frequency. It was mentioned that the first type of transient can be related to low corrosion rates because the steel could be covered by corrosion products film [60].

Noise Resistance
It has been determined that R n is indeed equivalent to the polarization resistance [60], therefore, the 1/R n values shown in Figure 5 are strictly proportional to the corrosion rate according to Ohm's law and the Stern-Geary equation [61][62][63][64]. A higher value of 1/R n for DP590 and FB590 steels and subsequently a low 1/R n value for DP780 and FB780 steels in NaCl solution is related to a low electrochemical activity in advanced steels with lower mechanical resistance. Corrosion of DP steels can be due to: (i) chemical composition, (ii) the volume fraction of martensite phase (due to the large amount of microgalvanic corrosion cells due to the interconnection between the martensite and ferrite phases), (iii) the presence of epitaxial ferrite, and (iv) the presence of stresses [65].
The addition of Cr, Ni and Si can improve the corrosion resistance and oxidation resistance at high temperatures [66][67][68]. In the present investigation, a higher Si and Cr content in DP780 and FB780 steels, respectively, compared to steels with lower mechanical resistance was presented. To some extent, this could explain a lower electrochemical behavior of steels with higher mechanical resistance in NaCl solution. On other hand, in [69] the electrochemical corrosion behavior of advanced dual-phase steels in 3.5% NaCl solution was investigated and it was concluded that an increase in martensite content to increase mechanical properties bears an adverse effect in corrosion resistance. However, a morphology made up of islands of martensite in continuous ferrite matrix proves to be more corrosion-resistant compared to morphologies such as ferrite-chain martensite, uniform fine fibrous ferrite-martensite and uniform fibrous ferrite-martensite with an almost similar amount of martensite in the structure. The corrosion resistance of dual-phase steel increases depending upon the increase in the volume fraction of martensite, and in particular of its morphological features [10]. In this reference, it is reported that the corrosion resistance of the DP steel increases with intercritical annealing tempering heat treatment. In addition, it is reported that the dual-phase steel tempered at a temperature of 800 • C (martensite island morphology in the ferrite matrix), had a better corrosion resistance property than the dual-phase steel tempered at a lower temperature of 730 • C, which consists of fibrous ferrite and martensite.
The presence of two phases in the dual-phase steel more martensite introduces galvanic coupling in the microstructure. Thus, an increase in martensite contents can involve ferrite dissolution which is electrochemically anodic to both. A refinement in the microstructure promotes a large interface area between the ferrite and martensite, that would lead to an increase of corrosion rate [70]. In the present investigation, the 1/R n value for all AHSS in CaCl 2 solution was measured and compared to the behavior in the NaCl solution. This behavior could be associated with favoring the martensite volume fraction over the type of martensite morphology. Indeed, from an electrochemical point of view, a martensitic region is expected to have a nobler corrosion potential than the ferritic matrix due to its carbon content, but the martensite content and finer grain in steel decreases its corrosion resistance as reported [71]. In MgCl 2 solution the corrosion rate of different AHSS steels was similar.
In the case of corrosion behavior of ferrite-bainite dual-phase steel, a high bainite content and fine structure leads to both, a decrease in current and potential and an increase of penetration resistance of Cl − ions with coarse grains structure even with the same bainite content due to a lower grain boundaries reaction. It has been reported that the bainite phase is the galvanic cathode and ferrite phase is the galvanic anode; further, the ferrite phase has higher dissolution rate than bainite phase when the FB steel is immersed in 3.5 wt.% NaCl solution [72,73]. In the present investigation, an increase in bainite percentage from about 30 to 45% and a decrease in grain size of about 4 to 2 µm, to some extent could favor the corrosion resistance of FB780 steel exposed in NaCl solution. However, the higher electrochemical activity in FB780 steel in CaCl 2 and MgCl 2 solutions could be linked possibly to the fact that the grain size strongly prevailed over the bainite content on the steel surface despite the high content of Cr. The FB steel with bainite content of about 40% (area ratio) can promote a large number of microgalvanic cells between the bainite phase (anode) and the ferrite phase (cathode), promoting prior breakdown of the passive film on the bainite phase, which causes localized corrosion initiation in Cr-Mo alloyed steels [74].
The DC trend removal is important in the calculation of noise resistance R n since it has shown consistency with calculations from EIS measurements [3]. Surface degradation may not necessarily be accompanied by both a decrease of σ i and an increase of σ v but it is the ratio between the two that is decisive [75]. Therefore, an increase of R n can be directly related to a decrease of σ i because of film formation on the surface on the advanced steel. In fact, as shown in Figure 6 and according to Equation (3), the fluctuations are in terms of σ i and σ v . Fluctuations up to 1 × 10 6 Ω·cm 2 occurred in different steels, and this could be related to the time where the breakdown of the passive layer takes place. An increase in R n value corresponds to a repassivation state, whereas a decrease corresponds to an activation state. Therefore, changes in excess in the value of R n could be linked to film rupture/repassivation events [76]. This also could be linked to the high-intensity and low-frequency behavior in the transients presented in the DP590, DP780 and FB780 steels in CaCl 2 , MgCl 2 and NaCl solutions, respectively, in relation to their tendency to localized corrosion. The high intensity and frequency transients in ferritic-bainitic steel in CaCl 2 solution in relation to its tendency to uniform corrosion.

Localization Index
The localization index is a parameter defined as the ratio of the current standard deviation and the root square mean (rms) of current fluctuations, with values between 0 and 1 [77]. It has been argued in the literature that the L.I., can be used to determine the nature of the corrosion type with values approaching 1 being characteristic of localized corrosion [78]. The I skew , I kurt and L.I. values were calculated for different alloys; however, values of 0 and 1 for L.I. were calculated for mild steel and Ti alloy which presented uniform corrosion and a passive state, respectively [79]. From Equation (3), it can be deduced that L.I. 1.0 is observed for systems for which the current data show high deviations from the mean value x, which could not be related to a passive behavior in Ti alloy. Therefore, the L.I. value can be considered as a measure of the distribution of experimental EN data around their mean values and not as an indicator of corrosion mechanisms.
A comparison of the analysis of the raw EN data and the data obtained after trend removal was reported [80]. The σ i , σ v and i rms values were also changed by the trend removal, however little change was observed in the R n value. The L.I. value after trend removal was 1.0, this being a reason for which L.I. cannot be used as an indicator of the prevailing corrosion mechanism if the calculation is i rms after removing the DC trend. Similarly, in [39,79,81] references, values of 1.0 in L.I. after eliminating the trend were reported in these studies since the mean value of the current fluctuations was now close to zero. The standard deviation only measures the alternating current (AC) portions of a signal, while the rms value measures both the AC and DC components. If a signal has no DC component, the rms value is identical to its standard deviation [79,80] then, L.I. will have a value of 1.0.
In the present investigation L.I. values were different from 1, as shown in Table 2. The calculation of L.I. was considered as the ratio of the σ i detrended and i rms calculated from coupling current I coup (current raw data). L.I. values of 0.00054 and 0.15431 for DP590 in MgCl 2 and CaCl 2 solutions were calculated, respectively. According to the fluctuations presented in Figure 3, it has been assumed that L.I. values close to zero suggests general corrosion, while L.I. values greater than 0.1 are related to localized corrosion behavior [82]. Therefore, the values obtained in the presented study indicate that the L.I., can be used to differentiate between different types of corrosion, as reported in [54] where transients observed were related to localized corrosion with L.I. values greater than 0.1.

Skewness and Kurtosis Measurements
In corrosion studies, the skewness value describes the degree of distortion from the symmetrical bell curve or the normal distribution and kurtosis value measure of outliers present in the distribution probability of EN data. In fact, values between −1 and 1 for skewness were presented for most of both DP and FB steels in the NaCl, CaCl 2 and MgCl 2 solutions. Similarly, three-tending values were calculated for the kurtosis parameter. In the case of skewness, the range would indicate that the data distribution is moderately skewed and in case of kurtosis it would indicate a Gaussian or normal distribution [56]. In the same reference it was associated that uniform corrosion follows a Gaussian distribution. Statistically this can be understood in terms of measures of central tendency, so that in a normal distribution both the mean, media, and mode measurements are similar. In fact, since the measurements of the mean, media, and mode are similar, it is possible to assume that there are no measurements of outliers of current that could be associated with high current consumption. Therefore, a localized form of corrosion can be associated with outliers of x i current data regarding the mode of measurement of the probability distribution. In the present work, the average skewness in DP780, FB590 and FB780 steels in different solutions was negative. This could indicate that many current data x i were below the mean value and relate the above to a small trend of transients in the negative current direction. High kurtosis in a data set is an indicator that data has heavy tails or outliers; however, the high kurtosis value obtained in the FB780 steel in the NaCl solution did not provide information that could be related to skewness and L.I. values. In a study [49] it has been reported that skewness value gives an indication to the direction and width of the transients in a set of data. It is mentioned that that if the data contain a few short, sharp peaks, the data are skewed in the direction opposite to the peaks. If the peaks last longer, the mean of the data is shifted towards the top of the peaks and as a result, the data are less skewed, i.e., more symmetrical. In fact, the current skewness and kurtosis were found to be sensitive indicators in the corrosion processes. However, in [40] it was concluded that both kurtosis and skewness only could be used as an indicative of normal distribution of EN data, but should not be used to suggest corrosion mechanisms.

Power Spectral Density (PSD) Analysis
A relationship could exist in relation between the different PSD slopes and the L.I., skewness and kurtosis values; however, some care must be taken to relate such values because these statistical values must be in accordance with the transients presented in Figures 3 and 4. In general, L.I. values for DP590 steel exposed in the NaCl solution indicated a uniform corrosion mechanism, even though some high signal intensity transits during the exposure in the solution were observed, and high skewness and kurtosis values were calculated for the same electrochemical system. This could be related to an inconsistency between L.I. values and the shape of the probability distributions. Slopes of −10.79 dB[A]·decade −1 and −7.18 dB[V]·decade −1 in the frequency spectrum could be related to localized corrosion behavior. In a study of the corrosion behavior of mild steel, stainless steel and pure aluminum [83,84] it has been reported that the slope of the PSD values estimated after linear-trend removal of measured signals was recognized as the most significant parameter to distinguish between uniform and local corrosion (Table 4) [85]. In [86] a study about the electrochemical noise measurements in stainless steel reported that for uniform corrosion the slope of the voltage power-spectrum density range is −2 to 7 dB[V]·decade −1 , while localized corrosion responds more strongly because the slope is in the range of 20-30 dB[V]·decade −1 . In the case of mixed corrosion, the value of the slope parameter a is intermediate (from 10 to 15 dB[V]· decade −1 ). Similarly, the roll-off slope becomes more negative with the addition of Cl − ions. A gradual decrease of roll-off slope with time in Cl − containing solution is observed, and many small pit nuclei are generated [87]. The slopes of the power spectral density plots of current and potential noises were associated with the nature of corrosion attack on duplex stainless steel 2101 [88]. In the case of DP780 steel in NaCl solution, a L.I. value related to uniform corrosion was calculated; however, no high-frequency fluctuations were present in Figure 3, but there were high skewness and kurtosis values. This non-normal behavior in statistical calculations may be due to the fact that most of the current values tended to zero, very close to the mean value of the data. Any variation of x i in Equations (5) and (6) could give a high skewness and distribution tails as measured with kurtosis. Nevertheless, this could be related to a passive state.
It has been reported that an excellent balance of strength-ductility expansion ratio can be achieved in FB steel by chemical design of low carbon and Nb + Ti microalloying. However, higher carbon content of steel tends to be detrimental to flangeability, due to much carbide precipitation at ferrite boundaries [37]. Now, in [88] it was reported that the Charpy impact energy in a ferrite-bainite microstructure was about 46% higher than full bainite and 71% higher than ferrite-martensite microstructures. Nevertheless, tensile tests results showed that the FB steel microstructure has greater ductility than ferrite-martensite and bainitic microstructures due to the amount of strain hardening in DP microstructure steel, which is greater than that for the FB microstructure. The absence of physical discontinuous yield strength reported in [89] was attributed to the generation of mobile dislocations in the ferrite phase adjacent to the martensite or bainite at the time of the austenite to martensite transformation during water quenching. In addition, an increase in both yield strength and tensile strength (and therefore impact toughness) is attributed to grain refinement as reported in [90]. In this way, differences in microstructures affect the mechanical and corrosion behavior.

Conclusions
• This work presents a study on the corrosion behavior of four important types of AHSS steels i.e., DP (590 and 7890 MPa) and FB (590 and 780 MPa) steels exposed to 3.5 wt.% NaCl, 2 wt.% CaCl 2 and 2wt.% MgCl 2 solutions. These chemical compounds are the basis of de-icing salts commonly used in highways particularly in winter time. As a first approach, electrochemical noise technique was used.

•
The current and potential time series show different behavior for each electrolyte. High-frequency fluctuations for short periods of time were observed for DP590 steel in MgCl 2 solution and DP780 steel in NaCl solution. In the case of FB steels, the same behavior occurred in FB590 and FB780 in CaCl 2 solution. In general, the current tan potential fluctuations can be associated with a general a corrosion process.

•
From the R n data obtained, an inverse relationship between the reciprocal of noise resistance value, 1/R n , and mechanical strength of both DP and FB steels was found in NaCl solution. By contrast, the behavior in CaCl 2 solution did not show any relationship from R n and mechanical strength. Here, a higher 1/R n value for DP780 (0.00271 Ω·cm −2 ) and FB780 (0.00509 Ω·cm −2 ) steels compared to that for DP590 (0.00286 Ω·cm −2 ) and FB590 (0.000592 Ω·cm −2 ) steels was noted. Immersion in MgCl 2 solution gave very similar 1/R n values for DP90 (0.00237 Ω·cm −2 ), DP780 (0.00237 Ω·cm −2 ) and FB590 (0.00252 Ω·cm −2 ) steels, with the 1/R n values being somewhat higher for the FB780 (0.00509 Ω·cm −2 ) steel. • Current and potential transients can be related to the corrosion type occurring according to statistical parameters such as the localization index [(L.I.) from 0.00054 to 0.15431 were calculated], skewness (values from −6.18 to 7.35 were calculated) and kurtosis (high values 37.15, 74.84 and 106.52). In general, the results indicated that the main corrosion process is related to one of uniform corrosion.

•
The PSD current and potential slopes obtained were in the range from −2.85 to −5.42 in the entire frequency range for the FB590 steel in NaCl, CaCl 2 and MgCl 2 solutions, whereas somewhat higher PSD current and potential slopes were obtained for DP590, DP780 and FB780 steels exposed in all electrolytes.

•
Corrosion behavior of AHSS steels exposed in NaCl solution could be related to the morphology of the phase constituents. However, under exposure in CaCl 2 and MgCl 2 solutions, an increase in martensite/bainite content or an increased refinement of phase constituents controls the corrosion behavior.

•
Given the enormous industrial importance of this type of AHSS steels, and in order to obtain a better understanding of their corrosion behavior, it is recognized that the use of powerful techniques such as electrochemical impedance spectroscopy (EIS) would be of great benefit.