### 1. Introduction

Gas Metal Arc Welding (GMAW) is a process in which a continuous wire electrode and a shielding gas are fed through the nozzle of a welding gun. This process is widely found in the industry thanks to a high productivity and its potential to automation. It is primarily used for repairing worn out parts, applying corrosion resistant surfaces or metal joining in a large scale. This arc welding technique is used in particular for the rebuilding and improvement of the service life of rolls operating in metal to metal wear conditions.

The quality of the weld is critical and can be evaluated in various ways, in particular the characteristics of the weld bead geometry which plays an important role with regards to the mechanical properties of the weld

^{1, 2)}. The bead geometry is directly influenced by the welding process parameters^{2-5)}. To avoid weld bead defects and insure satisfactory mechanical properties, it is therefore necessary to carefully set-up the process parameters. These parameters are welding current, arc voltage, welding speed, torch angle, free wire length, nozzle-to-plate distance, welding direction, position and the flow rate and composition of the shielding gas^{6)}.It is often very costly and time consuming to optimize the welding process by experimental analysis. This is due to the effects and interactions of the numerous process parameters influencing the quality of the weld bead. This is why analytical approaches have been developed using in particular designed experiments

^{1-3,6-12)}. The Response Surface Methodology (RSM)^{13)}is one of those methods and has been widely used to study the weld bead geometry as a function of several process parameters^{1,2,6-12)}.In the present study, the RSM optimization technique is used to study the effects of welding parameters on the bead geometry of bead on plate welds deposited by GMAW on low-carbon steel. Four parameters are selected as input variables: welding speed (S), arc voltage (U), welding current (I) and shielding gas (SG). The responses are: penetration (p), width (w), height (h), contact angle (θ), hardness (HR), dilution (D) and heat input (HI). A mathematical model is proposed for predicting the weld bead geometry and the optimal range for the parameters is given.

### 2. Experimental section

### 2.1 Cladding process

The cladding experiments were carried out using a direct current inverter welding machine (JASIC-MIG250, 5 to 300 A output range) and a semiautomatic carriage (speed from 1 to 400 mm.min

^{-1}). The cladding material was an AWS classification E-7012 solid wire (OK Autrod 13.12) with a diameter of 1.2 mm. The base metal were 20×20×100 mm plates of C-CH35ACR low carbon steel. The chemical compositions of the base material and the cladding wire are given in Table 1.##### Table 1

C | Si | Mn | Cr | Ni | Cu | Mo | P | S | |
---|---|---|---|---|---|---|---|---|---|

Base metal: C-CH35ACR mild steel | 0.01-0.03 | 0.08-0.1 | 0.2-0.4 | 0.1 | 0.1 | 0.1 | 0.03 | 0.04 | |

Welding wire: OK Autrod 13.12 | 0.1 | 0.5 | 1.1 | 0.5 | 0.5 | 0.2 | 0.03 | 0.03 |

A critical parameter identified during trial runs was the wire feed rate (WF). This wire feed rate was proportional to the welding arc current (I) and followed a linear relationship. This relationship between the wire feed rate (WF) and the welding current (I) is given by Eq.

The wire feed rate should be greater than a critical value to avoid defects

^{4, 5)}. The wire feed rate and the welding arc current accordingly were chosen to obtain similar welding bead profiles according to different welding speed. The faster the welding speed, the fewer the melted wire deposited per unit length and therefore the smaller the bead geometry.The shielding gas used for GMAW processes plays an important role. It can influence the quality and aspect of the welding joint, the welding speed and the actual costs of the process

^{5, 14)}. Boiko at al.^{14)}studied the effect of shielding gases on the MAG welding process. The different thermal conductivity of the shielding gases has a considerable influence on the arc configuration and the bead geometry. In the present study, different shielding gases were used with between argon, CO_{2}, O_{2}and mixture gases at a constant flow rate of 15 L/min. The standard names and composition of the gases are given in Table 2.### 2.2 Experimental design

The experimental work in this study was carried out according to the Response Surface Methodology (RSM)

^{13)}and was similar to previous similar studies^{2,7-11)}. This empirical method is commonly used for process in an industrial setting to optimize a response (here the bead geometry) influenced by several independent variables (here the process parameters). This method has been found to be valuable for the particular case of GMAW optimization^{1)}. As described for example by Bezerra et al.^{15)}, some stages in the application of RSM include: (1) selection of independent variables of major effects on the system and delimitation of the experimental region, (2) choice of the experimental design and experimental runs according to the selected design matrix, (3) mathematical-statistical treatment of the obtained experimental data through the fit of a polynomial function, (4) evaluation of the model’s fitness, (5) evaluation of the optimum values for each studied variables.#### 2.2.1 Process variables and response

The independent process variables identified as input parameters were adequately selected to carry out the experimental work and develop the mathematical models. The input variables were: welding speed (S), arc voltage (U), welding current (I) and shielding gas (SG). To describe the bead geometry, the responses or output parameters were: penetration (p), width (w), height (h), contact angle (θ), hardness (HR), dilution (D) and heat input (HI).

#### 2.2.2 Limits of the process variables

The lower and upper limit values of the process variables were found by conducting trial runs and inspecting the bead for smooth appearance without any visible defects such as porosity, undercut, humping, etc. The lower limits were coded as -2 while the upper limits were coded as +2 according to the central composite rotatable factorial design selected for this study. The intermediate levels (-1, 0 and +1) were determined by interpolation. The list of input variables and their values as per coded value are given in Table 3.

#### 2.2.3 Design matrix

The design matrix chosen to conduct the experiment was a central composite rotatable design consisting in 32 coded conditions. The design matrix is constituted of a full replication of 2

^{4}(16) factorial design, 8 star points (one variable at its highest level +2 or lowest level -2 with all the other variables at the intermediate level 0) and 8 center points (all variables at the intermediate level 0). In this way, the 32 experimental runs allowed the estimation of linear, quadratic and linear-linear interactive effects of the welding parameters on the bead geometry. The design matrix is given in Table 4.##### Table 4

#### 2.2.4 Experimental work according to the design matrix and record of the responses

The 32 experimental runs as described in the design matrix (Table 4) were realized for the four welding parameters selected as the input parameters. The bead on plate welds were subsequently cut and the cross section of the beads were polished and observed by optical microscopy. Figure 1 shows the photographs of the 32 specimens where the bead geometry could be studied. The profiles of the beads for the different sets of parameters were traced using an image analysis software so that the bead geometry could be measured accurately. Figure 1 also shows a schematic drawing of a bead on plate profile. For each single experimental run, the bead geometry was defined by measuring several out parameters: the width (w), the height (h), the penetration (p) and the contact angle (θ).

The percentage of dilution, hereafter referred to as dilution, was calculated for each weld. The dilution is defined in Eq. (2) as the ratio between the penetration p to the total height of the bead profile p+h in Fig. 3. The basic difference between welding and cladding is this percentage of dilution which should be as low as possible in cladding. The lower the dilution the closer is the composition of the bead to that of the filler material.

The Heat input (HI) was also calculated for each run. Heat input is a relative measure of the energy transferred per unit length of welding bead. It is an important characteristic because, similarly to preheat and inter-pass temperatures, it influences the cooling rate which may affect the mechanical properties and metallurgical structure of the weld and the HAZ

^{16)}. The heat input is typically calculated as the ratio of the power to the velocity of the heat source, as described in Eq. (3):Where

*HI*= f_{GMAW}=0.86 is the heat transfer efficiency^{17)},*I*is the welding current (A),*U*is the arc voltage (V) and S is the welding speed (cm/min).Finally, the Brinell hardness was measured (Dia testor 2Rc, Wolpert). The results of the measurements and calculations are given in Table 4 for the 32 samples, each one defined by a set of parameters as described previously.

#### 2.2.5 Development of the mathematical models

The response function representing any of the responses defined earlier can be expressed as a function of the input parameters, as in the following Eq. (4):

Where

*Y*is the response and*S*,*U*,*I*and*SG*are the welding speed, the arc voltage (U), the welding current (I) and the shielding gas (SG) respectively. A second-degree polynomial equation, a model commonly used in RSM^{2,7,9,15,18)}, was selected for the four input variables to represent the response and is given in Eq. (5):Where

*Y*is the response, β_{0}is the constant term, β*represents the coefficient of the linear parameters, β*_{i}*represents the coefficients of the quadratic parameter, β*_{ii}*represents the coefficients of the interaction parameters,*_{ij}*x*(or_{i}*x*) represents the input variables (_{j}*S*,*U*,*I*and*SG*) and*ε*is the residual associated to the experiments. The values of the coefficients in Eq. (5) were calculated by fitting the functions to the data using a statistical software (STATISTICA, Excel S-PLUS 8.0). A computer program was also developed to calculate the value of these coefficients for different responses (Table 5).##### Table 5

The adequacy of the models was tested using the analysis of variance (ANOVA). According to this technique, if the calculated values of the F ratio of the developed model do not exceed the standard tabulated values for the desired level of confidence (95%) and the calculated values of the R ratio of the developed model exceed the standard values for the desired level of confidence (95%), then the model can be considered adequate within the confidence limit. The results in Table 5 show that all the models are adequate.

The coefficients obtained for each response were tested for significance. The value of the coefficients gives an idea as to what extent the control variables affect the responses quantitatively. The less significant coefficients can be eliminated for the response which they are associated to. To achieve this, Student’s t-test is commonly used. According to this test, when the calculated values of t corresponding to a coefficient exceed the standard tabulated values for the desired level of probability (95%), the coefficient becomes significant. Accordingly, the models were developed considering only significant coefficients.

The final mathematical models as determined by the above analysis are given Eqs (6)-(12) for the responses considered:

##### (10)

##### (11)

##### (12)

In the following Results and Discussion section, the direct and interaction effects of the selected welding parameters on the bead geometry, dilution, hardness and heat input are presented graphically. Based on these models and considering legitimate constraints on the parameters and responses, the optimal set of welding parameters could be determined.

### 3. Results and Discussion

The mathematical models given in the previous section can be used to predict the weld bead geometry, dilution, hardness and heat input considering a given set of parameters. More importantly, these models can be used to select the proper values of the welding parameters considered in order to maximize the quality of the weld. Based on the models, the main and interaction effects of the process parameters were computed and plotted.

### 3.1 Direct effects of the welding parameters on the weld bead

The direct effect of the welding speed S on the bead geometry (p, h, w and θ), the dilution (D), the hardness (HR) and the heat input (HI) is given graphically in Fig. 2A. From this figure, while the hardness increases quasi linearly with the welding speed, the height (h), penetration (p) and width (w) decrease significantly. This is not surprising since when the welding speed increases, the volume of metal deposited per unit length decreases. The contact angle (θ) initially increases by more than 5° when the welding speed increases from 30 to about 65 cm/min and then decreases down to its lowest value at S = 110 cm/min. The effect of the welding speed on dilution (D) is discussed later (Fig. 2C). The heat input (HI) quickly decreases when the welding speed increases until it reaches a minimum value slightly under 300 J/mm for S ≈ 100 cm/min. In practice, it is of great industrial interest to maximize welding speeds in order to increase the productivity of a particular welding operation

^{4, 5)}.The direct effects of the process variables on the bead width (w) are shown in Fig. 2B. The width of the welding bead is important in cladding with wider bead being preferred. From Fig. 2B, Fig. 2 the bead width increases significantly when both the arc voltage (U) and the welding current (I) increase. It is also noted that the bead width slightly decreases when the amount of CO

_{2}in the shielding gas increases. From Fig. 2A, Fig. 2 it was seen that the width decreases when the welding speed increases, as discussed earlier.The direct effects of the process variables on the dilution (D) are shown in Fig. 2C. The general trend in Fig. 2C is that the dilution decreases initially when the values of the arc voltage (U), the welding current (I) and the shielding gas (SG) get close to their coded value 0 (refer to Table 3) and increases after that. Inversely, when the welding speed initially increases up to its coded value 0, the dilution also increases and then decreases after that.

The direct effects of the process variables on the contact angle (θ) are shown in Fig. 2D. It can be seen that the contact angle of the bead on the plate is very sensitive to the welding parameters. When the arc voltage (U) increases, the contact angle quickly decreases. However, when the welding current (I) increases, the contact angle quickly increases. When the welding speed (S) initially increases up to its coded value 0 (70 cm/min), the contact angle also increases. It decreases however when the welding speed is further increased. The nature of the shielding gas also has a significant effect on the contact angle, its lowest value being for SG having the coded value of 0 (SG = M21)

The direct effects of the process variables on the bead hardness (HR) are shown in Fig. 2E. As previously mentioned, it can be seen in Fig. 2E that the welding speed has a great influence on the hardness of the bead. The hardness of the bead quickly increases apparently linearly when the welding speed (S) increases. The nature of the shielding gas (SG) also has a significant impact on the hardness of the bead. It is also seen in Fig. 2E that the hardness quickly decreases when the arc voltage (U) increases. Finally, the hardness of the bead decreases when the welding current increases up to about 255 A and slightly increases after that.

The direct effects of the process variables on the heat input (HI) are shown in Fig. 2F. From this figure, it appears that the nature of the shielding gas has very little influence on the heat input. Also, the input similarly increases when the welding current (I) and arc voltage (U) increase. Finally, the heat input decreases when the welding speed (S) increases. This is obviously consistent with the measure of the heat input as given in Eq. (3).

### 3.2 Interaction effects of the welding parameters on the weld bead

The interaction effects of the welding current (I) and the welding speed (S) on penetration (p) is shown in Fig. 3A. It can be seen that penetration increases initially when the welding current increases, and the lower the welding speed the higher the increase. The penetration start decreasing when a certain value of welding current is attained and the lower the welding speed the lower this value. Interestingly, penetration is rather similar at low and high welding current regardless of the welding speed. However, and as could be expected, penetration tends to increase when the welding speed decreases at intermediate levels of welding current.

The interaction effects of the welding current (I) and the welding speed (S) on the bead width (w) is shown in Fig. 3B. At high welding speed, the bead width significantly increases when increasing the welding current. At lower welding speed, the width initially increases quickly when the welding current increases and then decreases.

The interaction effects of the arc voltage (U) and the welding speed (S) on the dilution (D) is shown in Fig. 3C. From this figure, it is evident that at all welding speed, the dilution quickly decreases when the arc voltage increases. At higher voltage, the dilution slightly increases.

The interaction effects of the welding current (I) and the welding speed (S) on the dilution (D) is shown in Fig. 3D. It is shown that the dilution slightly decreases initially and then quickly increases when the welding current increases.

The interaction effects of the arc voltage (U) and the welding speed (S) on the contact angle (θ) is shown in Fig. 3E. It can be seen that the contact angle decreases when the arc voltage increases. The effect is even more pronounced when the welding speed is 50 cm/min.

The interaction effects of the welding current (I) and the welding speed (S) on the contact angle (θ) is shown in Fig. 3F. It can be seen that the contact angle increases when the welding current increases. The contact angle is overall the lowest at high welding speed of 110 cm/min and the highest at welding speed of 70 cm/min

The interaction effect of the welding current (I) and the welding speed (S) on the hardness (HR) is shown in Fig. 3G. From this figure, it is evident that the hardness significantly increases with welding speed (as in Fig. 2E). The welding current only has a slight effect on the hardness when varying welding speed. The hardness is slightly higher when the welding current is lower.

The interaction effect of the welding current (I) and the welding speed (S) on the heat input (HI) is shown in Fig. 3H. The heat input quickly decreases when the welding speed decreases which is consistent to Fig. 2F. The welding current only has a little effect and obviously, the lower heat input is obtained for low current.

Finally, the interaction effect of the shielding gas (SG) and the welding speed (S) on both the dilution (D) and the contact angle (θ) are shown in Fig. 3I and Fig. 3J respectively. It appears from Fig. 3I that at low and medium welding speed, the dilution is significantly higher when the content of CO

_{2}is lower in the mixture. The nature of the shielding gases also shows great influence on the contact angle when varying the welding speed (Fig. 3J), in particular when the welding speed is between 45 and 85 cm/min.In order to appropriately select the optimal set of welding parameters, a certain number of key conditions should be determined. First, the welding speed should be as high as possible in order to maximize the productivity. However, when the welding speed was higher than the upper value 110 cm/min, the arc was unstable and defects appeared

^{4, 5)}. The dilution should be as low as possible. As it was mentioned before, high dilution is suitable for weld joint while low dilution is preferred in cladding or surfacing. When the dilution is low the final composition of the deposited material is closer to that of the actual filler material. Ideally, the dilution in such cladding process should be lower than 50 %. In the present study, considering the results presented in Figs. 2C, 3C, 3D, and 3I, the upper limit for the dilution (D) should be no more than 57 %. The contact angle (θ) also has a significant influence on the mechanical properties of the weld. It is usually sought a high contact angle of about 70° to 90°, where the bead profile looks like half a disc. To insure satisfying conditions in the present study and considering Figs. 2A, 2D, 3E, 3F and 3J, the contact angle should be higher than 45°. At last, the heat input (HI) influences the cooling rate and in turn the microstructure of the bead. In the conditions of the present study, considering Figs. 2A, 2F and 3H, the heat input should be close to 400 J/mm or more. Based on these consideration and the results given graphically according to the mathematical model built in section 2.2.5, the following conclusions can be drawn regarding the welding parameters considered in this study: the welding speed should be S ≈ 60 cm/min, the welding current should be I ≈ 200-250 A, the arc voltage should be U ≈ 20-25 V and the shielding gas should be SG = M21 (80% Ar-20% CO_{2}) for GMAW cladding on low-carbon steel.### 4. Conclusion

The present study investigates the effects of four welding parameters (welding speed (S), arc voltage (U), welding current (I) and shielding gas (SG)) on the bead geometry of bead on plate for a low-carbon steel. Based on the Response Surface Methodology (RSM), mathematical models were developed to predict the geometry, the hardness and the heat input of the bead as functions of the welding parameters. These models can easily be used in automatic cladding for obtaining weld bead of desired quality. The direct and interaction effects of the four welding parameters allowed determining an optimum set of parameters. In the conditions of the present study, the welding speed should be S ≈ 60 cm/min, the welding current should be I ≈ 200-250 A, the arc voltage should be U ≈ 20-25 V and the shielding gas should be SG = M21 (80% Ar-20% CO

_{2}).