3.4.1 Formation mechanism of different droplet transfer modes
To profoundly explain the influence of different pulse currents on different droplet transfer modes, the mechanical model of droplet transfer was established and studied. Figure 12 illustrates the mechanical model of the droplet growing at the root of welding wire. According to the static equilibrium theory [23], the droplet is subjected to gravity G, surface tension Fs, plasma flow force Fp and electromagnetic force Fem. The direction of gravity, plasma force and electromagnetic force is downward, these forces promote the droplet transfer to the molten pool, and the direction of surface tension is upward, which maintains the droplet shape and prevents the droplet breaking away from the wire.
As the welding wire melting, the droplet grows up gradually and causes the increase of droplet gravity. The calculation method of gravity is given by:
$$G=\frac{{\pi D_{0}^{3}\rho g}}{6}$$
1
Where D0 stands for the droplet diameter, ρ is the droplet density, and g represents the gravitational acceleration. Before separating from welding wire, the droplet would adhere to the welding wire due to surface tension, which can be expressed as:
$${F_s}=\pi {d_0}\gamma$$
2
Where d0 is the diameter of welding wire; γ is the surface tension coefficient. The coefficient will change with temperature, which depends on the welding current [24]. The relationship between surface tension coefficient γ and welding current I can be expressed by:
$$\gamma = - 0.0216 \times {e^{\frac{I}{{43.517}}}}+4.11379$$
3
Eq. (3) reveals that with the increase of welding current, the surface tension coefficient will decrease. During the welding process, the conical welding arc makes the arc force different on the different section, resulting in a pressure difference. Axial thrust caused by the pressure difference prompts shielding gas to flow from the root of welding wire to the molten pool, forming the plasma flow force [25], which provides thrust to drive the droplet move towards the workpiece along the axis. The plasma flow force can be expressed as:
$${F_p}={A_P}{C_d}\pi \frac{{{p_f}v_{f}^{2}}}{2}$$
4
Where Ap is the action area of plasma flow force, Cd is the tension coefficient of plasma flow force, ρf is the density of plasma, that is the density of shielding gas; vf is plasma flow rate.
In the MIG welding process, electric field and magnetic field generated by the welding current flow will provide electromagnetic force Fem to the droplet, which can be expressed:
$${F_{em}}=\frac{{{\mu _0}{I^2}}}{{4\pi }}[\ln \frac{{{D_0}\sin \theta }}{{{d_0}}}+\frac{2}{{{{(1 - \cos \theta )}^2}}} \times \ln \frac{2}{{1+\cos \theta }} - \frac{1}{{1 - \cos \theta }} - \frac{1}{4}]$$
5
Where µ0 is the vacuum permeability and θ is the arc root angle.
The resultant force F on the droplet can be expressed as:
$$F=G+{F_p}+{F_{em}} - {F_s}$$
6
When the peak current is small, the surface tension Fs plays a dominant role in Eq. (6), causing that the resultant force F keeps less than zero, and the droplet cannot separate from welding wire, which forms short circuit transfer. With the peak current increases, the surface tension Fs decreases, the welding wire melting prompts the droplet to develop adequately. At this time, the gravity G is in the leading position, making the resultant force F be more than zero, the droplet will separate from the welding wire, which forms globular transfer. With the peak current further increases, the electromagnetic force Fem will increase and become the most significant factors, causing the resultant force F be more than zero, the droplet will separate from welding wire before it grown up, which forms projected transfer.
3.4.2 The effect of impact force on weld penetration
To further explore the influence of peak current on weld penetration, it is necessary to calculate the momentum and impact force of the droplet before it falls into the molten pool. When obtaining the droplet transfer images, the droplet diameter under different peak current can be calculated. Because of the same size of each picture, the welding wire diameter d0 of 1.2mm can be regarded as the reference substance.
As shown in Fig. 13, d1 and D1 stand for the welding wire diameter and droplet diameter respectively, which measured by the picture, the actual droplet diameter D0 can be calculated:
$${D_0}=\frac{{{D_1}{d_0}}}{{{d_1}}}$$
7
Then, the droplet mass m can be expressed:
$$m=\frac{{\pi \rho D_{0}^{3}}}{6}$$
8
The high-speed camera can be employed to capture the droplet transfer images with the frame rate of 2000 fps, and the time interval T of each picture is 0.5ms. Selecting three pictures of the droplet before falling into the molten pool, as shown in Fig. 13. According to the method of welding wire diameter reference, the displacement difference of three pictures can be obtained as h1 and h2 respectively, and the velocity v and acceleration a of the droplet before entering the molten pool are approximately calculated by:
$$v=\frac{{{h_1}+{h_2}}}{{2T}}$$
9
$$a=\frac{{{h_2} - {h_1}}}{{{T^2}}}$$
10
According to Eqs. (7), (9) and (10), the actual diameter, velocity and acceleration of the droplet under different peak currents were calculated, as shown in Fig. 14. It reveals that with the peak current increased, the diameter of the droplet decreased, and the speed and acceleration of the droplet increased.
Then, the momentum p and the impact force Q of the droplet can be expressed:
$$p=mv=\frac{{\pi \rho D_{0}^{3}({h_1}+{h_2})}}{{12T}}$$
11
$$Q=ma=\frac{{\pi \rho D_{0}^{3}({h_2} - {h_1})}}{{6{T^2}}}$$
12
Hence, the effect of momentum and impact force of droplet on weld penetration under different peak currents could be explained as shown in Fig. 15. With the peak current increased, the droplet diameter decreased, the droplet velocity increased, these two factors made the decrease of droplet momentum. Figure 15a shows that the weld penetration increased with the decrease of droplet momentum. It is obviously unreasonable to adopt droplet momentum as a reference for determining the weld penetration. Figure 15b illustrates that the impact force of droplet falling into the molten pool increased continually and had an evident positive effect on the weld penetration, that was, the greater the impact force, the deeper the weld penetration. Consequently, the droplet impact force can be regarded as the reference for determining the weld penetration.