# Effect of Cold-Rolled Thickness Reduction Degree on Characteristics of Hydrogen Diffusion in Silicon Steel

Authors: Yongfeng Li; Lian Cai; Guanjun Liu; Lijie Ma
Journal: International Journal of Corrosion
 (2014)

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## Abstract

The characteristic of hydrogen uptake and diffusion in the cold-rolled silicon steel was investigated by electrochemical hydrogen permeation technique performed under different cathodic charging current density and cold-rolled thickness reduction degree. The results indicated that anodic permeation current density increased with increasing cathodic charging current for the specimens. Moreover, the anodic steady state permeation current density and the solubility increased with an increase in the cold-rolled thickness reduction degrees. The breakthrough time of hydrogen in the specimens was shortened with increasing thickness reduction degrees, and the value of the hydrogen diffusivity decreased gradually with increasing thickness reduction degrees.


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## Body

## 1. Introduction

Hydrogen is the most widely occurring element in the Universe and considered as the fuel of the future. It is readily available in abundance; therefore, in recent years, it is extensively used as a high-energy fuel. However, the entry of hydrogen into the metal surface is a serious problem encountered during many electrochemical processes, including corrosion of metals, pickling of metals, electroplating of metals, and metal welding [1–3]. The hydrogen which is introduced into the metal via electrochemical process or gaseous absorption leads to hydrogen embrittlement of the material which results in the decrease in the mechanical properties such as toughness and ductility. Moreover, hydrogen embrittlement even results in hydrogen induced cracking or brittle fracture [4–6] which finally causes the failure of the material. A component or structure can be contaminated by hydrogen in various stages of its life [7]. Hydrogen degradation significantly affects various industrial branches because it leads to dangerous failures and loss of property.Silicon steel is specialty steel tailored to produce certain magnetic properties. The addition of silicon to steel increases its electrical resistance, improves the ability of magnetic fields to penetrate it, and reduces the steel’s hysteresis loss. After hot rolling or cold rolling process of silicon steel, it usually requires pickling process for the removal of the surface oxide. Pickling of metal is essentially a process involving the removal of an oxide layer by hydrogen generated by the chemical reaction between metal or metal oxide and acid. Therefore, pickling process is often accompanied by the generation of hydrogen. Silicon steel is highly susceptible to hydrogen embrittlement which is influenced by diffusion characteristics of hydrogen in silicon steel. Takahashi et al. [8] and Marrow et al. [9] also confirmed that, when silicon steel is in hydrogen environment, hydrogen exhibits significant influence on crack initiation and expansion of the material. Therefore, it is extremely important and highly desirable to study the specific diffusion characteristic of hydrogen in silicon steel and to investigate the diffusion ability of hydrogen in silicon steel. Detailed information about the kinetics of hydrogen adsorption, entry, and transport is essentially required to understand the factors controlling the hydrogen embrittlement in silicon steel. High-temperature vacuum vapor permeation and electrochemical hydrogen permeation methods are usually used to evaluate diffusion characteristic of hydrogen in the material [10–13]. In high-temperature vacuum vapor permeation method, there is a high pressure difference on both sides of the material. When molecular hydrogen permeates from the high pressure to the low pressure side, the permeated molecular hydrogen could be detected; thus, the kinetics of hydrogen permeation process could be obtained. However, the experimental device is extremely complex, and the test costs are relatively high. In contrast, the electrochemical permeation method is extremely convenient because it involves simple and inexpensive electrochemical device and high testing sensitivity and versatility at room temperature. The electrochemical hydrogen permeation method was proposed by Devanathan and Stachurski [14]; it has been widely used to investigate the diffusion coefficient of hydrogen in the material and embrittlement phenomenon of metals. In this study, cold-rolled silicon steel sheets were used as specimen to evaluate the effect of cold-rolled thickness reduction degree on hydrogen diffusion in silicon steel. Electrochemical hydrogen permeation method was utilised to measure the diffusion characteristic of hydrogen in silicon steel under different cathodic charging current or different cold-rolled thickness reduction degree.


## 2. Experimental Procedures

### 2.1. Material and Specimen Preparation

Commercially available silicon steel with a thickness of 2.7 mm was used in this study. The chemical composition of the as-received silicon steel is listed in Table1. The specimens were cold rolled by a rolling machine. By adjusting the amount of cold-rolled thickness reduction on the rolling machine, three types of cold-rolled specimens were obtained, with cold-rolled thickness reduction degrees of 54.8, 72.2, and 77.4%, and the corresponding thickness of the three samples was 1.48, 0.75, and 0.61 mm, respectively. The microstructures of the cold-rolled silicon steel with different thickness reduction degrees were observed by optical microscope.Table 1
Chemical composition of silicon steel, wt%.
Element
C
Si
Mn
P
S
Fe
Percentage (%)
0.011
0.400
0.506
0.070
0.001
BalanceThe specimens with dimensions of 50 mm × 70 mm and effective surface area of 9 cm2 were used in this study. First, the specimen was mechanically polished successively with 600, 1,000, and 1,200 grade abrasive papers. Second, the specimen was cleaned in an ultrasonic cleaning bath, rinsed with distilled water, and dried rapidly by cold air blowing. Finally, one side of each specimen was plated with nickel (Ni) to a thickness of 1 μm to avoid dissolution of the specimen which may affect the permeation experiment data.


### 2.2. Electrochemical Hydrogen Permeation

Hydrogenation of the specimens was necessary to investigate the tendency of the silicon steel toward hydrogen embrittlement. The electrochemical hydrogen permeation technique involving a Devanathan-Stachurski twin or double electrolytic cell was used to determine the diffusion of hydrogen in steel materials. Figure1 shows the schematic representation of the experimental set up for hydrogen permeation. This experimental set up is extensively employed to determine the hydrogen permeation rate through metallic membranes. One side of the specimen acts as the cathode for the cathodic chamber, and the other side acts as the anode (anodic chamber). The anode (exit) side was coated with Ni to make it corrosion resistant. A constant potential of 300 mV versus Ni electrode was applied on the anode side prior to the beginning of the permeation experiment. The cathode side charged hydrogen until the background current density was reduced to below 0.1 μA cm−2 at the anode side. Hydrogen charging current density was 5, 10, and 30 mA cm−2, respectively. The cathode hydrogen charging could produce a lot of hydrogen atoms on the surface of the cathode. The hydrogen is then adsorbed on the surface of the specimen and atomically absorbed into the bulk of the material. When hydrogen atoms arrived at the surface of the anode, they were oxidized by the anodic potential and the anodic hydrogen permeation current was obtained. Further, the cathodic charging and the electrochemical workstation were switched off until the permeation current density acquired a steady level. Both chambers were maintained at a constant temperature of 25
±
1
°
C throughout the experiment.Figure 1
The schematic diagram of the experimental setup for hydrogen permeation experiment.


### 2.3. Data Analysis

For the electrochemical hydrogen permeation technique, the permeation flux of hydrogen through the specimen was determined from the steady state permeation current density (i
p
∞), and it is represented as follows:
(1)
J
∞
=
i
p
∞
n
F
,
where J
∞ is atomic hydrogen permeation flux at steady state (mol cm
-
2
s
-
1), i
p
∞ is permeation current density at steady state (A cm
-
2), n is the number of electrons transferred (dimensionless), and F is Faraday’s constant (96,485C mol
-
1).The theoretical equation for hydrogen diffusion [15] is
(2)
i
p
i
p
∞
=
2
L
π
D
t
∑
n
=
0
∞
exp
⁡
[
-
(
2
n
+
1
)
2
L
2
4
D
t
]
,
where D is a constant, cm
2
s
-
1, and the effective hydrogen diffusivity (D
eff) could be determined by fitting the model equation (2) into the experimental permeation curve.The apparent hydrogen solubilityS is obtained [16] by using (3) when the surface hydrogen was in thermodynamic equilibrium with subsurface hydrogen:
(3)
S
=
J
∞
L
D
eff
,
where S is the apparent hydrogen solubility (mol cm
-
3) and L is the specimen thickness (cm).


## 2.1. Material and Specimen Preparation

Commercially available silicon steel with a thickness of 2.7 mm was used in this study. The chemical composition of the as-received silicon steel is listed in Table1. The specimens were cold rolled by a rolling machine. By adjusting the amount of cold-rolled thickness reduction on the rolling machine, three types of cold-rolled specimens were obtained, with cold-rolled thickness reduction degrees of 54.8, 72.2, and 77.4%, and the corresponding thickness of the three samples was 1.48, 0.75, and 0.61 mm, respectively. The microstructures of the cold-rolled silicon steel with different thickness reduction degrees were observed by optical microscope.Table 1
Chemical composition of silicon steel, wt%.
Element
C
Si
Mn
P
S
Fe
Percentage (%)
0.011
0.400
0.506
0.070
0.001
BalanceThe specimens with dimensions of 50 mm × 70 mm and effective surface area of 9 cm2 were used in this study. First, the specimen was mechanically polished successively with 600, 1,000, and 1,200 grade abrasive papers. Second, the specimen was cleaned in an ultrasonic cleaning bath, rinsed with distilled water, and dried rapidly by cold air blowing. Finally, one side of each specimen was plated with nickel (Ni) to a thickness of 1 μm to avoid dissolution of the specimen which may affect the permeation experiment data.


## 2.2. Electrochemical Hydrogen Permeation

Hydrogenation of the specimens was necessary to investigate the tendency of the silicon steel toward hydrogen embrittlement. The electrochemical hydrogen permeation technique involving a Devanathan-Stachurski twin or double electrolytic cell was used to determine the diffusion of hydrogen in steel materials. Figure1 shows the schematic representation of the experimental set up for hydrogen permeation. This experimental set up is extensively employed to determine the hydrogen permeation rate through metallic membranes. One side of the specimen acts as the cathode for the cathodic chamber, and the other side acts as the anode (anodic chamber). The anode (exit) side was coated with Ni to make it corrosion resistant. A constant potential of 300 mV versus Ni electrode was applied on the anode side prior to the beginning of the permeation experiment. The cathode side charged hydrogen until the background current density was reduced to below 0.1 μA cm−2 at the anode side. Hydrogen charging current density was 5, 10, and 30 mA cm−2, respectively. The cathode hydrogen charging could produce a lot of hydrogen atoms on the surface of the cathode. The hydrogen is then adsorbed on the surface of the specimen and atomically absorbed into the bulk of the material. When hydrogen atoms arrived at the surface of the anode, they were oxidized by the anodic potential and the anodic hydrogen permeation current was obtained. Further, the cathodic charging and the electrochemical workstation were switched off until the permeation current density acquired a steady level. Both chambers were maintained at a constant temperature of 25
±
1
°
C throughout the experiment.Figure 1
The schematic diagram of the experimental setup for hydrogen permeation experiment.


## 2.3. Data Analysis

For the electrochemical hydrogen permeation technique, the permeation flux of hydrogen through the specimen was determined from the steady state permeation current density (i
p
∞), and it is represented as follows:
(1)
J
∞
=
i
p
∞
n
F
,
where J
∞ is atomic hydrogen permeation flux at steady state (mol cm
-
2
s
-
1), i
p
∞ is permeation current density at steady state (A cm
-
2), n is the number of electrons transferred (dimensionless), and F is Faraday’s constant (96,485C mol
-
1).The theoretical equation for hydrogen diffusion [15] is
(2)
i
p
i
p
∞
=
2
L
π
D
t
∑
n
=
0
∞
exp
⁡
[
-
(
2
n
+
1
)
2
L
2
4
D
t
]
,
where D is a constant, cm
2
s
-
1, and the effective hydrogen diffusivity (D
eff) could be determined by fitting the model equation (2) into the experimental permeation curve.The apparent hydrogen solubilityS is obtained [16] by using (3) when the surface hydrogen was in thermodynamic equilibrium with subsurface hydrogen:
(3)
S
=
J
∞
L
D
eff
,
where S is the apparent hydrogen solubility (mol cm
-
3) and L is the specimen thickness (cm).


## 3. Results and Discussion

### 3.1. Effect of Cathodic Hydrogen Charging Current on Hydrogen Diffusion

To investigate the effect of cathodic hydrogen charging current on hydrogen diffusion, different current densities (5, 10, and 30 mAcm
-
2) were employed on the cathode side under galvanostatic conditions (constant current density), which correspond to different hydrogen permeation curve at anode side as shown in Figure 2. The thickness of the specimens was 0.61 mm. Figure 2 shows that the permeation current density at steady state increases with increasing charging current density. This is attributed to the fact that higher currents lead to the evolution of more hydrogen atoms on the surface of cathode which increases the amount of diffusible hydrogen and thereby enhances the ionised current density at the anode. Moreover, Figure 2 also exhibits that, with the increasing cathodic charging current density, the rate of diffusion of hydrogen in the specimen also gets accelerated. Furthermore, Figure 3 demonstrates that the time of breakthrough of hydrogen atoms from the entry to the exit is the shortest at the charging current density of 30 mA cm
-
2. In contrast, the time is the longest for the charging current density of 5 mA cm
-
2. This is mainly because the cathodic charging current was initially used to remove the oxide film from the surface of the cathode. Therefore, the higher is the cathodic charging current, the shorter is the removal time. Consequently, the diffusion rate of hydrogen in the specimens is significantly accelerated with an increase in hydrogen charging current density at the cathode.Figure 2
Hydrogen permeation curves for the silicon steel with the same thickness under different hydrogen charging current density.Figure 3
Hydrogen permeation curves under different hydrogen charging current density at initial charging stage.


### 3.2. Effect of Thickness Reduction Degrees on Hydrogen Diffusion

Figure4 shows the microstructures of silicon steel cold rolled to different thickness reduction degrees indicating that cold rolling not only changes the shape and size of the plate but also changes the internal structure. With the increase in cold-rolled thickness reduction degree, the grains in the specimens are gradually elongated and flattened, and the slip direction of the grains turned to the rolling direction. The grains become almost fibrous at higher thickness reduction degree.Figure 4
Microstructures of silicon steel cold rolled to different thickness reduction degrees.Effect of the specimen’s thickness on the characteristic of hydrogen diffusion was investigated by hydrogen permeation experiments. The cathodic charging current density was 10 mA cm−2 and the silicon steel plates with thickness of 2.7, 1.48, 0.75, and 0.61 mm were used in the experiment. Figure 5 exhibits the curves corresponding to the experimental results revealing that the permeation current density at steady state decreases significantly with the increase in the thickness of the specimens. These results indicate that the diffusion parameters are a function of the plate thickness. With the increase in the plate thickness, the values of the diffusible parameter of hydrogen in the specimens decrease. For the silicon steel plate with thickness of 0.61 mm, when the hydrogen diffusion reaches a steady state, the measured value of steady state permeation current density is 1.42 × 10−5 A cm−2 at the anode side. The steady state permeation current density is 1.08 × 10−5 A cm−2 for the silicon steel plate with thickness of 0.75 mm. When the plate thickness is increased to 1.48 or 2.7 mm, the anode steady state permeation current density is reduced to 5.68 × 10−6 and 2.73 × 10−6  A cm−2, respectively. Figure 6 shows the hydrogen permeation curves for different thickness of the silicon steel at initial charging stage demonstrating that, when the specimen thickness increases, the breakthrough time of hydrogen in the specimen also increases. When the thickness of the silicon steel plate is 0.61 mm, the breakthrough time of hydrogen in the specimen is about 600 s; however, the breakthrough time of hydrogen in the specimen is about 750 s for the specimen with the thickness of 0.75 mm. When the thickness of the specimen is increased to 1.48 or 2.7 mm, the breakthrough time of hydrogen in the specimen is increased to ~1,456 and 2,493 s, respectively. Therefore, the breakthrough time for the thicker membrane is inherently longer. Figure 6 shows that the latter factor predominates.Figure 5
Hydrogen permeation curves for different thickness of the silicon steel under the same hydrogen charging current density.Figure 6
Hydrogen permeation curves for different thickness of the silicon steel at initial charging stage.


### 3.3. Effect of Thickness Reduction Degrees on Hydrogen Diffusivity and Solubility

The analysis of the curves (Figure5) corresponding to the experimental results enabled us to determine the diffusivity (D
eff) by fitting hydrogen diffusion theoretical equation (2) into these curves. The apparent solubility of hydrogen measured in silicon steel is defined by using (3). The values of cold-rolled thickness reduction degrees and corresponding diffusivity and solubility of hydrogen are listed in Table 2. As the thickness of the specimens decreased from 2.7 to 0.61 mm, the value of the hydrogen diffusivity decreased gradually from 2.17 × 10−6 to 3.70 × 10−7 cm2 s−1; however, the value of the solubility increased gradually from 3.56 × 10−6 to 2.43 × 10−5 mulch−3. This phenomenon indicated that the hydrogen population was mainly governed by the trapping of hydrogen when it was transported through the specimens, which mainly occurred at the grain boundaries.Table 2
Cold-rolled thickness reduction degree and corresponding diffusivity and solubility of hydrogen.
Thickness (mm)
Thickness reduction
D
eff (cm2 s−1)
S (mol cm−3)
2.70
0.0
2.17
×
10
-
6
3.56
×
10
-
6
1.48
54.8%
1.02
×
10
-
6
8.04
×
10
-
6
0.75
72.2%
4.55
×
10
-
7
1.60
×
10
-
5
0.61
77.4%
3.70
×
10
-
7
2.43
×
10
-
5


## 3.1. Effect of Cathodic Hydrogen Charging Current on Hydrogen Diffusion

To investigate the effect of cathodic hydrogen charging current on hydrogen diffusion, different current densities (5, 10, and 30 mAcm
-
2) were employed on the cathode side under galvanostatic conditions (constant current density), which correspond to different hydrogen permeation curve at anode side as shown in Figure 2. The thickness of the specimens was 0.61 mm. Figure 2 shows that the permeation current density at steady state increases with increasing charging current density. This is attributed to the fact that higher currents lead to the evolution of more hydrogen atoms on the surface of cathode which increases the amount of diffusible hydrogen and thereby enhances the ionised current density at the anode. Moreover, Figure 2 also exhibits that, with the increasing cathodic charging current density, the rate of diffusion of hydrogen in the specimen also gets accelerated. Furthermore, Figure 3 demonstrates that the time of breakthrough of hydrogen atoms from the entry to the exit is the shortest at the charging current density of 30 mA cm
-
2. In contrast, the time is the longest for the charging current density of 5 mA cm
-
2. This is mainly because the cathodic charging current was initially used to remove the oxide film from the surface of the cathode. Therefore, the higher is the cathodic charging current, the shorter is the removal time. Consequently, the diffusion rate of hydrogen in the specimens is significantly accelerated with an increase in hydrogen charging current density at the cathode.Figure 2
Hydrogen permeation curves for the silicon steel with the same thickness under different hydrogen charging current density.Figure 3
Hydrogen permeation curves under different hydrogen charging current density at initial charging stage.


## 3.2. Effect of Thickness Reduction Degrees on Hydrogen Diffusion

Figure4 shows the microstructures of silicon steel cold rolled to different thickness reduction degrees indicating that cold rolling not only changes the shape and size of the plate but also changes the internal structure. With the increase in cold-rolled thickness reduction degree, the grains in the specimens are gradually elongated and flattened, and the slip direction of the grains turned to the rolling direction. The grains become almost fibrous at higher thickness reduction degree.Figure 4
Microstructures of silicon steel cold rolled to different thickness reduction degrees.Effect of the specimen’s thickness on the characteristic of hydrogen diffusion was investigated by hydrogen permeation experiments. The cathodic charging current density was 10 mA cm−2 and the silicon steel plates with thickness of 2.7, 1.48, 0.75, and 0.61 mm were used in the experiment. Figure 5 exhibits the curves corresponding to the experimental results revealing that the permeation current density at steady state decreases significantly with the increase in the thickness of the specimens. These results indicate that the diffusion parameters are a function of the plate thickness. With the increase in the plate thickness, the values of the diffusible parameter of hydrogen in the specimens decrease. For the silicon steel plate with thickness of 0.61 mm, when the hydrogen diffusion reaches a steady state, the measured value of steady state permeation current density is 1.42 × 10−5 A cm−2 at the anode side. The steady state permeation current density is 1.08 × 10−5 A cm−2 for the silicon steel plate with thickness of 0.75 mm. When the plate thickness is increased to 1.48 or 2.7 mm, the anode steady state permeation current density is reduced to 5.68 × 10−6 and 2.73 × 10−6  A cm−2, respectively. Figure 6 shows the hydrogen permeation curves for different thickness of the silicon steel at initial charging stage demonstrating that, when the specimen thickness increases, the breakthrough time of hydrogen in the specimen also increases. When the thickness of the silicon steel plate is 0.61 mm, the breakthrough time of hydrogen in the specimen is about 600 s; however, the breakthrough time of hydrogen in the specimen is about 750 s for the specimen with the thickness of 0.75 mm. When the thickness of the specimen is increased to 1.48 or 2.7 mm, the breakthrough time of hydrogen in the specimen is increased to ~1,456 and 2,493 s, respectively. Therefore, the breakthrough time for the thicker membrane is inherently longer. Figure 6 shows that the latter factor predominates.Figure 5
Hydrogen permeation curves for different thickness of the silicon steel under the same hydrogen charging current density.Figure 6
Hydrogen permeation curves for different thickness of the silicon steel at initial charging stage.


## 3.3. Effect of Thickness Reduction Degrees on Hydrogen Diffusivity and Solubility

The analysis of the curves (Figure5) corresponding to the experimental results enabled us to determine the diffusivity (D
eff) by fitting hydrogen diffusion theoretical equation (2) into these curves. The apparent solubility of hydrogen measured in silicon steel is defined by using (3). The values of cold-rolled thickness reduction degrees and corresponding diffusivity and solubility of hydrogen are listed in Table 2. As the thickness of the specimens decreased from 2.7 to 0.61 mm, the value of the hydrogen diffusivity decreased gradually from 2.17 × 10−6 to 3.70 × 10−7 cm2 s−1; however, the value of the solubility increased gradually from 3.56 × 10−6 to 2.43 × 10−5 mulch−3. This phenomenon indicated that the hydrogen population was mainly governed by the trapping of hydrogen when it was transported through the specimens, which mainly occurred at the grain boundaries.Table 2
Cold-rolled thickness reduction degree and corresponding diffusivity and solubility of hydrogen.
Thickness (mm)
Thickness reduction
D
eff (cm2 s−1)
S (mol cm−3)
2.70
0.0
2.17
×
10
-
6
3.56
×
10
-
6
1.48
54.8%
1.02
×
10
-
6
8.04
×
10
-
6
0.75
72.2%
4.55
×
10
-
7
1.60
×
10
-
5
0.61
77.4%
3.70
×
10
-
7
2.43
×
10
-
5


## 4. Conclusions

The electrochemical permeation technique was adopted in this study and the characteristic of hydrogen diffusion in silicon steel under different cathodic hydrogen charging current or cold-rolled thickness reduction degrees was investigated. The results indicated that measured permeation current density increased with an increase in cathodic charging current density for the same thickness. With increasing cold-rolled thickness reduction degrees, the grains in the specimens were gradually elongated and flattened, the slip direction of the grains turned to the rolling direction, the anodic steady state permeation current density significantly increased, and the breakthrough time of hydrogen in the specimen was shortened. Moreover, hydrogen diffusivity decreased gradually; however, the solubility gradually increased.



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*Source: 309416-2014-06-17.xml*