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
Chemical compositions of the base material and the welding wire
|
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.
Table 2
Standard name and chemical composition of the shielding gases
|
Coded value |
ISO 14175:2008 |
Composition (%) |
|
Ar |
CO2
|
O2
|
|
1 |
M14 |
ArCO - 5/2 |
93 |
5 |
2 |
|
2 |
M26 |
ArCO - 20/2 |
78 |
20 |
2 |
|
3 |
M21 |
ArCO - 20 |
80 |
20 |
|
|
4 |
M24 |
ArCO - 12/2 |
86 |
12 |
2 |
|
5 |
C-C |
|
|
100 |
|
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.
Table 3
Input variables selected for the RSM and their levels
|
Input variable |
Unit |
Notation |
Level |
|
-2 |
-1 |
0 |
+1 |
+2 |
|
Welding speed |
cm/min |
S |
30 |
50 |
70 |
90 |
110 |
|
Arc voltage |
V |
U |
19 |
21 |
23 |
25 |
27 |
|
Welding current |
A |
I |
180 |
210 |
240 |
270 |
300 |
|
Shielding gas |
% |
SG |
1 |
2 |
3 |
4 |
5 |
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
Design matrix and measured or calculated values of the responses
|
Sample |
Input Factor |
Penetration |
Width |
Height |
Contact angle |
Hardness |
Dilution |
Heat input |
|
S |
U |
I |
SG |
p, mm |
w, mm |
h, mm |
q, degree |
HR, HB |
D, % |
HI, J/mm |
|
1 |
-1 |
-1 |
-1 |
-1 |
2.6 |
8.2 |
3.1 |
53.50 |
216 |
54 |
455.11 |
|
2 |
+1 |
-1 |
-1 |
-1 |
1.9 |
5.5 |
2.2 |
55.10 |
232 |
54 |
252.84 |
|
3 |
-1 |
+1 |
-1 |
-1 |
1.75 |
10.3 |
2.2 |
36.30 |
202 |
56 |
541.80 |
|
4 |
+1 |
+1 |
-1 |
-1 |
1.5 |
5.9 |
2.3 |
52.70 |
216 |
61 |
301.00 |
|
5 |
-1 |
-1 |
+1 |
-1 |
2.8 |
8.8 |
3.3 |
61.90 |
210 |
54 |
585.14 |
|
6 |
+1 |
-1 |
+1 |
-1 |
2.1 |
7.6 |
2.8 |
50.10 |
251 |
57 |
325.08 |
|
7 |
-1 |
+1 |
+1 |
-1 |
2.6 |
10.9 |
3.1 |
39.75 |
202 |
54 |
696.60 |
|
8 |
+1 |
+1 |
+1 |
-1 |
1.6 |
9.4 |
2.5 |
38.35 |
216 |
61 |
387.00 |
|
9 |
-1 |
-1 |
-1 |
+1 |
2.4 |
5.8 |
2.9 |
65.35 |
233 |
55 |
455.11 |
|
10 |
+1 |
-1 |
-1 |
+1 |
1.6 |
5.9 |
1.9 |
48.50 |
260 |
54 |
252.84 |
|
11 |
-1 |
+1 |
-1 |
+1 |
1.4 |
10.7 |
2.5 |
35.35 |
216 |
64 |
541.80 |
|
12 |
+1 |
+1 |
-1 |
+1 |
1.6 |
6.5 |
2.0 |
39.95 |
251 |
56 |
301.00 |
|
13 |
-1 |
-1 |
+1 |
+1 |
2.1 |
9.2 |
4.2 |
60.35 |
216 |
67 |
585.14 |
|
14 |
+1 |
-1 |
+1 |
+1 |
1.9 |
6.0 |
2.8 |
61.00 |
251 |
60 |
325.08 |
|
15 |
-1 |
+1 |
+1 |
+1 |
3.1 |
9.4 |
3.6 |
50.25 |
196 |
54 |
696.60 |
|
16 |
+1 |
+1 |
+1 |
+1 |
2.8 |
6.9 |
2.9 |
56.45 |
233 |
51 |
387.00 |
|
17 |
-2 |
0 |
0 |
0 |
3.0 |
12.8 |
3.3 |
51.50 |
183 |
52 |
949.44 |
|
18 |
+2 |
0 |
0 |
0 |
1.3 |
6.1 |
1.6 |
41.45 |
271 |
55 |
258.94 |
|
19 |
0 |
-2 |
0 |
0 |
1.8 |
6.6 |
3.2 |
63.90 |
233 |
64 |
336.14 |
|
20 |
0 |
+2 |
0 |
0 |
2.1 |
9.3 |
2.5 |
41.55 |
216 |
54 |
477.67 |
|
21 |
0 |
0 |
-2 |
0 |
1.3 |
6.7 |
1.6 |
41.50 |
251 |
55 |
305.18 |
|
22 |
0 |
0 |
+2 |
0 |
2.1 |
8.4 |
3.7 |
62.95 |
225 |
64 |
508.63 |
|
23 |
0 |
0 |
0 |
-2 |
1.9 |
7.3 |
3.1 |
64.40 |
225 |
62 |
406.90 |
|
24 |
0 |
0 |
0 |
+2 |
2.1 |
7.1 |
2.7 |
58.60 |
225 |
56 |
406.90 |
|
25 |
0 |
0 |
0 |
0 |
2.1 |
7.0 |
2.7 |
54.00 |
225 |
56 |
406.90 |
|
26 |
0 |
0 |
0 |
0 |
1.9 |
6.8 |
2.5 |
50.25 |
233 |
57 |
406.90 |
|
27 |
0 |
0 |
0 |
0 |
2.1 |
7.0 |
2.8 |
55.20 |
233 |
57 |
406.90 |
|
28 |
0 |
0 |
0 |
0 |
2.5 |
7.4 |
2.5 |
46.60 |
233 |
50 |
406.90 |
|
29 |
0 |
0 |
0 |
0 |
2.1 |
7.8 |
2.4 |
42.45 |
216 |
53 |
406.90 |
|
30 |
0 |
0 |
0 |
0 |
2.4 |
7.5 |
2.6 |
53.30 |
216 |
52 |
406.90 |
|
31 |
0 |
0 |
0 |
0 |
2.2 |
6.8 |
3.0 |
59.95 |
216 |
58 |
406.90 |
|
32 |
0 |
0 |
0 |
0 |
2.4 |
7.1 |
2.9 |
54.45 |
210 |
55 |
406.90 |
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).
Fig. 1
Photographs of the bead profile in cross section for the 32 samples and schematic representation of the weld bead geometry
The percentage of dilution, hereafter referred to as dilution, was calculated for