Optimization of FCAW Parameters for Ferrite Content in 2205 DSS Welds Based on the Taguchi Design Method

2is study presents the Taguchi design method with L9 orthogonal array which was carried out to optimize the flux-cored arc welding (FCAW) process parameters such as welding current, welding voltage, welding speed, and torch angle with reference to vertical for the ferrite content of duplex stainless steel (DSS, UNS S32205) welds. 2e analysis of variance (ANOVA) was applied, and a mathematical model was developed to predict the effect of process parameters on the responses. 2e results indicate that welding current, welding voltage, welding speed, torch angle with reference to vertical, and the interaction of welding voltage and welding speed are the significant model terms connected with the ferrite content.2e ferrite content increases with the increase of welding speed and torch angle with reference to vertical, but decreases with the increase of welding current and welding voltage. 2rough the developed mathematical model, the target of 50% ferrite content in weld metal can be obtained when all the welding parameters are set at the optimum values. Finally, in order to validate experimental results, confirmation tests were implemented at optimum working conditions. Under these conditions, there was good accordance between the predicted and the experimental results for the ferrite content.


Introduction
Duplex stainless steel (DSS) typically contains the microstructures consisting of almost equal proportions of ferrite and austenite phases.
e fine ferrite-austenite microstructure of these materials promotes a good combination of anticorrosion and mechanical properties [1][2][3].Duplex stainless steel is a common engineering material used in oil refining, food processing, wastewater treatment, and pharmaceuticals as well.
e increased use of duplex stainless steels in industrial applications will demand a better understanding of those weld parameters that affect weldability.Most of the welding processes, such as laser beam welding (LBW), shielded metal arc welding (SMAW), tungsten inert gas (TIG) welding, and submerged arc welding (SAW), can be used for welding duplex stainless steels [4][5][6].Flux-cored arc welding (FCAW) process is also one of the most popular technologies for duplex stainless in manufacturing industries because it produces better and more consistent mechanical properties and higher deposition rates.However, a major problem is that the thermal cycle can degrade the strength and corrosion resistance of weld metal by producing unbalanced ferrite/austenite content, and any attempt to increase heat input changes the welding parameters, probably leading to precipitation of the secondary phase such as σ phase which also reduces the corrosion resistance and strength of weld [1,7].erefore, the studies that control the ferrite/austenite phase ratio of weld metal are necessary.Welding process parameters are important factors that establish the approximately equal proportion of the ferrite/ austenite phase (1 : 1) in the weld metal area.Usually, the appropriate ferrite content is 40-60% for good performance of the dual-phase steel to satisfy the requirement for which it is expected in the weld joint.
e relationship between the welding process parameters and the ferrite content can be modeled by using mathematical means.Mathematical models can be used to understand the effect of welding process parameters on the ferrite content variables.e Taguchi method (TM) was a robust design method, originally developed to improve the quality of manufactured goods by Genichi Taguchi, and was effectively used in the optimization of multiple objectives by gray relational analysis [8][9][10].e Taguchi method provides the research staff with a scientific and efficient way for ascertaining nearly optimal design parameters.
ough the study using Taguchi methods on weld geometries and mechanical properties has always been reported in literatures [11][12][13][14], it appears that the optimization of FCAW process parameters for the ferrite content in duplex stainless steel using the Taguchi method has hardly been studied.In view of the abovementioned facts, the Taguchi method with L9 orthogonal array and ANOVA is employed to analyze the effect of each weld processing parameter (welding current, welding voltage, welding speed, and torch angle with reference to vertical) for the ferrite content in flux-cored weld metal of 2205 DSS.
e final intent of this research is to optimize the FCAW process parameters using the developed model to ensure that the ferrite content is close to 50% in 2205 DSS welds.

Experimental Work
e experiments were implemented by using a set of programmable welding equipment.e material chosen for the study was 12 mm DSS boards corresponding to UNS S32205, whose chemical composition is given in Table 1.Also, the chemical composition of filler metal (ER 2209, 1.2 mm diameter) is listed in Table 1.e welding joints were designed into a single V groove with an angle of 60 °and a blunt edge of 1 mm.e welding parameters are given in Table 2. e interpass temperature was 150 °C.e mean ferrite content in weld metal was measured by the FERITSCOPE MP30.Metallographic sample preparation has been carried out by grinding and polishing.To characterize the microstructures, the samples were etched by using a solution of 1 g K 2 S 2 O 5 , 30 ml HCl, and 80 ml H 2 O. Microstructures were observed by using an optical microscope and a field emission scanning electron microscopy.e scanning electron microscope was operated at an accelerating voltage of 15 kV.e chemical composition of different phases was analyzed by using an energy dispersive spectrometer connected to a scanning electron microscope.

Construction of Design Matrix.
e experimental data required to relate the FCAW process parameters with response were arranged by using the Taguchi L9 (3 4 ) orthogonal array with nine experimental runs.e results of process parameters and their corresponding average ferrite content of weld metal are presented in Table 3. Figure 1 shows the optical micrographs of the weld metal microstructures.
e dark regions are ferrite while the bright regions are austenite.Obviously, the weld ferrite content of sample 3 is higher than that of sample 9.

Effect of Parameters on Ferrite Content.
e analysis of variance (ANOVA) was performed for the ferrite content with a confidence interval of 95 percent, and a p value less than 0.05 was considered to be statistically significant [15][16][17].e test for significance of the developed model and the test for significance on individual coefficients were performed by using Design-Expert software.By using the stepwise regression method, which removes the insignificant model items automatically, the ANOVA (Table 4) for the reduced quadratic model summarizes the analysis of the ferrite content variance of the response and shows the significant model items.e F-test named after Fisher [18] can be used to find out which welding process parameters have a significant effect on the ferrite content.Usually, the change of the welding process parameter has a significant influence on the ferrite content when the F value is large [19].In addition, the table also reveals the adequacy measures R 2 , predicted R 2 , and adjusted R 2 .e adequacy measures are very close to 1, which is appropriate and indicates the adequate model."Adeq Precision" measures the signal-tonoise ratio, and the value greater than 4 is considered to be desirable [20].
In this study, from the analysis of variance, it is clear that the ferrite content model is significant.e table indicates that welding current, welding voltage, welding speed, torch angle with reference to vertical, and the interaction of welding voltage and welding speed are the significant model terms affecting the ferrite content, and the result also shows that the highest F value was obtained for the welding speed equal to 5003.32 in the model.e F value for the interaction of welding voltage and welding speed was equal to 76.58, which indicates that the interaction term has a relatively less effect on the model.e Adeq Precision value of 146.135 indicates an adequate signal and implies that the model can navigate the design space.
e ANOVA shows that there is a connection between the main effects of the four parameters.e final mathematical model for the ferrite content is determined by the following procedures and represented as follows: ( Further, the validity of the developed regression model was confirmed by constructing a scatter diagram.A typical scatter diagram for the ferrite content is shown in Figure 2.
e scatter diagram reveals that there is a good correlation between the experimental and predicted values.
Figure 3 is a perturbation plot, which helps to compare the effect of all the factors at the center place in the design 2 Advances in Materials Science and Engineering   Advances in Materials Science and Engineering space.It can be noticed that the ferrite content increases with the welding speed and torch angle with reference to vertical.is is because a higher welding speed reduces the heating time, and the electric arc becomes more decentralized from 0 degrees to 30 degrees for torch angle with reference to vertical.
ese two factors can cause lower heat input to the weld zone.Low heat input results in a fast cooling rate.
ere is no sufficient time for the diffusion of alloying elements (Cr, Ni, and Mo).
e ferrite-to-austenite transformation ratio reduces during solidification [21].From this figure, it is apparent that the welding current and the welding voltage have a negative effect on the ferrite content.It is due to the fact that heat input increases with welding current and welding voltage.ere is sufficient time for the diffusion of alloying element under a slow cooling rate.Consequently, the ferriteto-austenite transformation ratio increases under the effect of increased heat input, and a more austenite phase is generated during the process.In addition, σ phase precipitates in ferrite for a long time at high temperature, which further reduces the ferrite content.e SEM micrograph and EDS of the phases are shown in Figure 4.In contrast to the ferrite (α) and austenite (c) phases, the light gray σ phase is richer in Cr.

Optimization of Results
In statistical software, the optimization part searches for a group of factor levels that simultaneously meet the goals placed on each of the factors and responses by using the developed mathematical model in the design space.e goals are combined into an overall desirability function.As displayed in Table 5, the optimization criterion has been executed for 2205 DSS welds.In the criterion, the process parameters are kept within the scope of the stationary design space.e goal response was set to the target of 50% ferrite content.However, the ferrite-austenite phase balance (1 : 1) imparts very desirable properties to the material [22][23][24].
e optimal results are listed in Table 6 with their desirability.

Confirmation of Model Validity
rough analysis of desirability function, optimal results have been validated by conducting three confirmatory tests.
e process parameters and corresponding ferrite content have been selected randomly from Table 6.Table 7 displays the tested results at optimum condition.It is revealed from Table 7 that there is a small error ratio between predicted and the experimental values, which validates the applied optimization research.e error percentage in this table was calculated as follows: Figure 5 shows the SEM micrographs of the validation samples.e micrographs also prove that the ferrite content is very close to the ideal value (50% ferrite) and no detrimental intermetallic phases appear in it.

Conclusions
e influence of flux-cored arc welding parameters (welding current, welding voltage, welding speed, and torch angle with reference to vertical) on the ferrite content for 2205 DSS welds has been studied, and the following conclusions are drawn.
A relationship model was developed to predict the ferrite content of weld metal by using the Taguchi design method.Welding current, welding voltage, welding speed, torch angle with reference to vertical, and the interaction of welding voltage and welding speed are the significant terms for the model.Welding voltage and torch angle with reference to vertical have a negative effect on the ferrite content, while the welding speed and welding current have a positive effect on it.e developed model can be successfully used    Advances in Materials Science and Engineering to predict the ferrite content at 95% confidence level and verified by F-test by using the ANOVA table.
To verify the predicted results, three confirmation tests have been implemented, and in the results, errors have been found less than 2%.e results indicate that the developed methods can accurately determine welding parameters so that the desired ferrite content for 2205 DSS welds is achieved.

Data Availability
In the paper, all of the data is available.e data from Table 1 were measured by X-ray fluorescence.In Table 2, the welding parameters are given.For the data from Tables 3-7 and Figures 2 and 3, the optimization process is showed by using the Design-Expert software, and the average ferrite content was measured by the FERITSCOPE MP30.

Figure 1 :
Figure 1: Optical micrographs of weld metal microstructures of (a) sample 3 with the highest ferrite content and (b) sample 9 with the lowest ferrite content.

Figure 2 :Figure 3 :
Figure 2: Predicted and experimental results of ferrite content.

Figure 5 :
Figure 5: SEM micrographs of the validation samples.

Table 3 :
Design matrix with measured responses.

Table 2 :
Process parameters and design levels used in experiments.

Table 4 :
ANOVA and R-square table for ferrite content reduced quadratic model.

Table 5 :
Process parameter and response constraint.