Optics and Laser Technology 134 (2021) 106589 Contents lists available at ScienceDirect Optics and Laser Technology journal homepage: www.elsevier.com/locate/optlastec Full length article Investigation of filler wire melting and transfer behaviors in laser welding with filler wire T Wenhao Huang, Shujun Chen, Jun Xiao , Xiaoqing Jiang, Yazhou Jia ⁎ Engineering Research Center of Advanced Manufacturing Technology for Automotive Components, Ministry of Education, College of Mechanical Engineering and Applied Electronics, Beijing University of Technology, Beijing 100124, China HIGHLIGHTS different characteristics of the wire melting and transfer behavior. • The best absorptivity can be achieved when the wire feed angle is 45°. • The the Wx is the key to obtain stable transfer mode for the liquid bridge. • Control • The droplet transfer behavior is directly determined by the resultant force. ARTICLE INFO ABSTRACT Keywords: Melting and transfer behaviors Liquid bridge transfer Droplet transfer For laser welding with filler wire process, there exist numerous technical parameters about the position between the laser beam and the filler wire, so it is difficult to guarantee the process stability and weld quality. In order to obtain stable welding process and high quality weld, the wire melting and transfer behavior must be controlled as the interaction between the laser beam and filler wire is extremely complicated. In this work, laser welding with filler wire process was studied, with particular attention to the melting dynamics of filler wire, the wire melting and transfer behavior. The high-speed camera system was used to observe the wire melting and transfer behaviors. The direct observation of the welding process by the high-speed camera can help to uncover the mechanism of the process stability of laser welding with filler wire. Systematic experiments were carried out in this study for liquid bridge and droplet transfer mode. The results indicated that the relative distance (Wx) between the filler wire and the laser beam and wire feed rate could influence the wire melting and transfer behaviors even the whole welding stability significantly. Therefore, control the Wx and wire feed rate is the key to obtain stable transfer mode for the liquid bridge. The research findings provided a clearer understanding for improving process stability and weld quality. 1. Introduction The laser welding is a high power density welding technology, which has been increasingly utilized in many industries especially for aerospace and automotive industries in recent years [1,2]. The major characteristics of laser welding are high precision, minimum heat affected zone and concentrated heat input, which helps to minimize the residual stress and distortion on the welded specimens. As a result, laser welding has been widely used in manufacturing industries to produce high-quality weld joints. However, owing to the small focal spot diameter of laser beam, high precision of the workpiece assembly is required to guarantee the weld quality. Therefore, the gap normally should be reduced to a minimum or even be set to a zero-gap to ensure the stable process [3]. In order to make the process more reliable and enhance the industrial applications of laser welding, it is necessary to develop appropriate techniques to make the process simpler and more reliable. Previous studies [4,5] indicated that compared with traditional laser welding, laser welding with filler wire (LWFW) could effectively improve the gap-bridging capability and greatly reduce the requirements for joint fit-up. In addition, laser welding with filler wire can also can solve the problem of solidification cracks [6]. For LWFW process, there exist numerous technical parameters about the position (angle, distance) between the laser beam and the Corresponding author. E-mail addresses: huangwenhaojay@163.com (W. Huang), shujunchenbjut@163.com (S. Chen), junxiaobjut@163.com (J. Xiao), xjiang@bjut.edu.cn (X. Jiang), jiayazhousx@163.com (Y. Jia). ⁎ https://doi.org/10.1016/j.optlastec.2020.106589 Received 17 January 2020; Received in revised form 18 May 2020; Accepted 31 August 2020 Available online 14 September 2020 0030-3992/ © 2020 Elsevier Ltd. All rights reserved. Optics and Laser Technology 134 (2021) 106589 W. Huang, et al. filler wire, so it is difficult to guarantee the process stability and weld quality [7]. Therefore, the wire feed angle must be determined first. Antti Salminen [8] indicated that an important beam parameter affecting the absorptivity is the angle of incidence between the laser beam and workpiece surfaces. However, the reflection of the filler wire in laser welding process is difficult to measure directly. Absorptivity mainly depends on the laser wavelength and material properties. The previous research results showed clearly that the filler wire may reflect a considerable fraction of incoming laser beam. The reflection effects as well on the welded quality as the energy lost during welding. Research [9,10] have mainly concentrated on the influence of welding parameters on weld quality. Laser welding with filler wire was usually considered to be a difficult process for industrial applications, it has too many parameters and the positioning requirements of the wire are too strict. However, the wire melting and transfer behavior was also an important factor influencing laser welding stability and would be reflected on the final weld quality [11-13]. With the development of high-speed imaging technique, researchers started to pay attention to the wire melting dynamics which was closely related to the process stability and weld quality. Based on this technique, Yu et al [14] studied the melting dynamics of LWFW with different feed positions and feed rates. The melting dynamics of LWFW can be generally characterized by three different forms: explosion, big droplet and molten metal bridge. The results showed that the explosion or big droplet form would lead to unstable welding process and undesirable weld quality while the molten metal bridge form could result in a stable welding process and a uniform weld bead. Wang et al [15] used CMOS high speed video system to observe the wire melting behavior and the weld pool dynamics in real time during the welding process. With different wire feed positions, the transfer mode can be characterized by three different forms: liquid bridge transfer mode, droplet transfer mode, and spreading transfer mode. It was reported that liquid bridge transfer mode was superior to the other two transfer modes with more calm and stable welding process which resulted in better weld appearance and lower porosity defect. Ma et al [16] investigated the effects of dual beam configurations on wire melting and transfer behaviors in different transfer modes. The results showed that side-by-side configuration could improve the process stability in droplet transfer mode. Through the force analysis, they found that the differences of droplet transfer behaviors in different beam configurations and the action direction and stability of the resultant force determined the entire transfer process. Su et al [17] studied the effects of welding parameters on the laser-wire coupling behavior, the characteristics of deposition layer and the transition behavior of molten metal by high-speed imaging technique. It was also reported that the transition behaviors of liquid metal were decomposed into three transition behaviors: globular, liquid-bridge and spreading. The results showed that the welding speed and the distance between the laser and the filler wire had a great influence on the liquid metal transition, the stability of welding process and the solidification rate of molten metal. Based on the above analysis, it can be summarized that there are mainly two types of wire transfer modes in LWFW process: droplet transfer mode and liquid bridge transfer mode. The liquid bridge transfer mode could lead to a high stable welding process, uniform and smooth appearance and good weld quality, while the droplet transfer mode can strongly disturb the weld pool flow, causing fluctuations in welding process, and resulting in undesirable weld bead [18–21]. However, in the practical production process, droplet transfer mode often occurs and is unavoidable due to limitation of assembly accuracy. Besides, the relative position of filler wire and laser beam could also significantly affect the wire melting and transfer behaviors, and even affect the whole welding stability. Therefore, it is necessary to study how to determine the welding parameters range of the liquid bridge transfer mode in LWFW process. A systematic study about the interaction between laser beam and filler wire is still missing. Therefore, the principles governing the correlations between the wire melting and transfer behavior, the wire melting dynamics and weld quality need to be studied. In this work, the mechanism of the wire melting and transfer behavior and the wire melting dynamics were studied, with particular attention to the interaction mechanisms between laser beam and filler wire and the establishment of stable processing conditions of liquid bridge transfer mode. Therefore, the aim of the current research project is to determine the influence of key LWFW parameters on wire transfer modes, the formation of welding defects in droplet transfer mode, and the range of welding parameters for liquid bridge transfer mode. The research findings provided more clear understanding for improving laser welding with filler wire process stability and weld quality. 2. Materials and experimental procedure 2.1. Materials The bead-on-plate welding experiments are performed on the sheet of 4043 aluminum alloys with a thickness of 5 mm and the focal point of laser beam is just on the top surface of the base metal sheets. The commercial ER5A06 aluminum alloy filler wire with the diameter of 1.2 mm was utilized. Their chemical compositions were listed in Table 1. Before welding, the surface of aluminum alloy sheets was polished by the abrasive paper for removing the oxides, and then wiped with industrial alcohol. 2.2. Experimental setup Fig. 1(a) shows the experimental setup of LWFW including a high speed image acquisition system, a laser welding system, a robot system and a wire feed system. The welding experiments were performed using a continuous wave solid-state Ytterbium fiber laser (YLS-4000, IPG Laser GmbH, U.S.A) with a maximum power of 4 kW. The wavelength of fiber laser is 1.07 µm. The diameter of optical fiber is 600 μm. A focusing lens of 200 mm and a collimating lens of 150 mm were used to focus the laser beam. The spot diameter of single laser beam at the focal length is 0.26 mm, and the focusing plane was positioned at the surface of workpiece. A six-axis high precision industrial robot (KR 60-3, KUKA Roboter GmbH, Germany) was used to control welding movement on which the laser head was assembled. A wire feeder (KD-7000, Fronius International GmbH, Austria) was used for wire feed. Ar as the shielding gas was supplied to the surface of molten pool with a flow rate of 15 L/ min. To stabilize the welding process, the filler wire and shielding gas were set on the same plane with the centerline of laser beam. The shielding gas nozzle was in the welding direction with an angle ( ) 45° with respect to the horizontal surface of the workpiece, and the vertical height (h) with the workpiece was 20 mm, as shown in Fig. 1(b). The shielding gas nozzle is made of ceramic material with a diameter of 40 mm. The wire melting and transfer behaviors during the welding process was observed using a high-speed digital camera (i-speed 7–716 high-speed camera, iX Cameras company, England) with a normal magnifying lens (SP AF 180 mm F/3.5 Tamron Lens, Tamron CO., Ltd, Japan). The Tamron 180 mm F/3.5 Di LD (Model B01N) is a highly portable, ultra-telephoto zoom lens with AF precision for shooting inthe-moment action clearly and easily. The images were recorded at a frame rate of 3000 frames per sec. A backlight source and the high speed camera are arranged on the two sides of the welding head. Due to Table 1 Chemical composition of 4043 and ER5A06aluminum alloy (wt.%). 2 Alloy Si Fe Cu Mn Mg Zn Ti 4043 5A06 4.5–16.0 < 0.40 < 0.80 0.40 < 0.30 < 0.10 < 0.05 0.50 < 0.05 6.8 < 0.10 < 0.20 < 0.20 0.1 Optics and Laser Technology 134 (2021) 106589 W. Huang, et al. Fig. 1. Experimental setup for LWFW. the internal resistance of the wire feeder, the data displayed by the machine and the actual wire feed rate are different, so the wire feed rate needs to be calibrated before the experiment. The wire feed rates displayed by the wire feeder and actual wire feed rates as shown in Table 2. The welding parameters used in LWFW process are shown in Table 3. Table 2 The calibration of wire feed rates. Wire feed rates displayed by wire feeder (m/ min) Actual wire feed rates (m/min) 1 2 3 4 5 6 7 8 9 10 0.51 1.02 1.53 1.88 2.46 2.88 3.51 4.05 4.48 5.12 2.3. The absorptivity experiment The absorptivity experiments were performed to examine the wire feed angle –absorption interaction. The presence of base material hinders the measurement of the absorption intensity of the wire by the laser beam. Therefore, these experiments were carried out without base material. The schematic illustration of the experimental set-up for measuring the absorptivity is shown in Fig. 2. Before the experiment, the mass of wire sent out by the wire feeder was measured by analytical balance within 1 min. Then the laser beam was focused on the surface of the filler wire and the wire was fed into the focal cylinder in the open air. Similarly, the mass of the melted wire was measured by an analytical balance. Table 3 Welding parameters used in LWFW process. Welding parameters Values Laser power (P) Welding speed (VS) Wire feed rates (VF) Wire feed angle ( ) Wire feed direction Shielding gas flow rate 2600 W 1 m/min 2–10 m/min 45° leading 15 L/min 2.4. Definition of wire feed position The distance between the filler wire and laser beam can be defined as the distance between their axes. In the welding direction, the Fig. 2. Schematic illustration of the experimental set-up for measuring absorptivity. 3 Optics and Laser Technology 134 (2021) 106589 W. Huang, et al. Fig. 3. Definition of wire feed position in LWFW. distance between the laser beam and filler wire is defined as Wx. In the direction perpendicular to the welding direction, the distance between the laser beam and filler wire is defined as WY. The schematic of wire feed position in LWFW is shown in Fig. 3. The distance WY is always kept constant as 0 mm in order to guarantee that the weld is accurately located on the welding line L1. 3. Results and discussion 3.1. Determination of wire feed angle When the filler wire is fed into the focus of laser beam, it absorbs part of the power and reflects rest part of the power. According to the principle of conservation of energy, the total absorptivity Ak is given by: 2.5. Weld formation analysis After welding, in order to reveal the micro-structure of the welded, the samples are cut in the size of 150 mm × 75 mm using wire-cut Electric Discharge Machine (EDM). Cross sections of the welded are polished by 800,1000,1200,1500 SiC grades, followed by a 3 diamond suspension, to a mirror-like surface aspect. Then, etching with the Keller’s reagent (100 ml distilled + 5 ml HNO3 + 3 ml HCL + 2 ml HF) for 5–10 s was used to reveal the microstructure. OLYMPUS LEXTOLS4000 3D optical micro-scopy is used to observe the depth and width of welded. Ak = Pa/P (1) Pa = PF + PEV + PO (2) Ak = (PF + PEV + PO )/ P (3) where Pa is the power of the filler wire to absorb the laser beam, P is the total power of the laser beam, PF is the power used in melting the filler, PEV is the power of the filler wire evaporation, PO is the power consumed by overheating filler wire. The absorptivity can be obtained as follow: PF = vF Aw s [cs (Tm 4 T0) + HF ] (4) Optics and Laser Technology 134 (2021) 106589 W. Huang, et al. Fig. 4. High-speed photographs of droplet transfer at different levels (P = 2600 w, VF = 1 m/min). (a) High-speed photographs of droplet transfer at =0° (b) High-speed photographs of droplet transfer at =30° (c) High-speed photographs of droplet transfer at =45° Tm) (5) PEV m m m1 = EV = P m m (6) PO = vF Aw l cl (T1 optimum way to the process. Therefore, it is necessary to find the best angle for wire feed to maximize the absorptivity of the filler wire. The photography of the phenomena during laser beam melting the filler wire in various wire feed angle resulted in acceptable quality photographs. The laser beam, droplet and filler wire interaction zone are all clearly visible. Fig. 4 describes the droplet transfer at different levels. The absorption reaches its maximum when the wire feed angle ( ) is 0°, but decreases with increasing the wire feed angle, as shown in Fig. 5. Low wire feed angle ( ) must usually be avoided in practice applications because the dimensional problems of wire feeder equipment, which is not typically available during practical welding. Increased in the wire feed angle ( ) was a disadvantage for increasing the absorptivity of the filler wire. With the increase of wire feed angle, the impact action of the molten metal on the vertical direction of the molten pool becomes where vF is wire feed rate, Aw is cross section area of filler wire, s is average density of filler wire from room temperature to melting point, cs is average specific heat of filler wire from room temperature to melting point, Tm is melting point of the filler wire, T0 is the room temperature, HF is latent heat of fusion, l is average density of liquid filler wire, cl is average specific heat of liquid filler wire, Tm is average temperature of liquid filler wire, mEV is the lose mass of the filler wire by evaporation, m1 is the mass of filler wire by laser beam melting, m is total mass of the filler wire. Wire feed angle ( ) is an important parameter affecting the absorptivity. Usually, in the LWFW process, the filler wire is fed in non5 Optics and Laser Technology 134 (2021) 106589 W. Huang, et al. 3.2. Two typical wire transfer modes The different characteristics of the wire melting and transfer behavior would lead to the different stability of the LWFW process. The melting and transfer behavior of filler wire can be divided into two modes, named as “liquid bridge transfer mode” and “droplet transfer mode”. The liquid bridge transfer mode is that the filler wire is transfer into the welding pool through a molten metal bridge. This transfer mode can be used for high stability and good welded quality. It is an ideal stable transfer mode, and the appearance of welded is uniform and smooth. The welded appearance of liquid bridge transfer mode is shown in Fig. 7(a). The droplet transfer mode can strongly disturb the weld pool flow, causing fluctuations in welding process, and resulting in undesirable weld bead. The welded appearance of droplet transfer mode is shown in Fig. 7(b). The interaction between the laser beam and the filler wire makes the filler wire transfer behaviors complicated and unstable. The laser beam heated the filler wire, resulting in different transfer mode. The mechanism of filler wire transfer behaviors was altered with changing welding parameters. LWLW parameters such as laser power (P), the relative distance (Wx) between laser beam and filler wire, wire feed rate (VF), and wire feed angle( ) determine which type of transfer mode is achieved. Fig. 5. The effect of the wire feed angle on absorptivity. 3.3. Analysis of welding stability in liquid bridge transfer mode The filler wire melting and transfer behaviors in LWFW process in liquid bridge transfer mode is shown in Fig. 8. As shown in Fig. 8(a), the laser beam heated and melted the wire tip. Fig. 8(b) shows that the melted wire grew up to a droplet and then the laser beam continued to heat on the base material to form a molten pool. When the droplet grows to a certain size, it would contact with the molten pool and a “liquid bridge” was established between the wire tip and the molten pool. Meanwhile, the melted wire would flow smoothly into the molten pool through the “bridge”, as shown in Fig. 8(c, d). “liquid bridge” assured that both the wire melting and transfer processes was stable in LWFW. This wire transfer mode was defined as “liquid bridge transfer mode”. After that, the molten droplets continuously enter the molten pool through the “liquid bridge”, as shown in Fig. 8(e). In laser welding with filler wire, the heating mechanism of the filler wire affected the welding process stability and welded quality. In liquid bridge transfer mode, laser beam, filler wire and molten pool have direct interaction between each other and therefore, the filler wire melting and transfer behaviors was mainly influenced by the laser irradiation (PL), the plasma and metallic vapor radiation (PM) and weld pool radiation (PW), as shown in Fig. 9. Fig. 6. The effect of the wire feed angle on the weld appearance. 3.4. Analysis of welding stability in droplet transfer mode Liquid bridge transfer mode is an optimal transfer mode, which often gives smooth welded with a stable welding process, but this is a highly delicate procedure with a small process window. During the practical welding process, liquid bridge transfer mode is often difficult to obtain due to inaccurate wire feed position. Due to the mismatch of the welding parameters, the transfer mode is often the droplet transfer mode. Droplet transfer mode is a very common but unacceptable mode during LWFW process, which would result in bad weld appearance and unstable welding process. In order to improve clearer understanding for the droplet transfer mode, the filler wire melting and transfer behaviors were analyzed in detail. For the droplet transfer mode, the droplet transfer behavior is determined by the forces applied on the droplet. The droplet is affected mainly by two types forces during LWFW process: one type of force is to promote droplet transfer force which includes the gravity FG and the evaporation recoil force FR, and the other type of force is to prevent droplet transfer force which includes the surface tension FS and the Fig. 7. The appearance of the welded. stronger, making the molten pool surface fluctuations in the process more intense. The best absorptivity can be achieved when the wire feed angle is 45°. Finally, the effect of the wire feed angle on the weld appearance was investigated, as shown in Fig. 6. Considering the absorption rate and the weld appearance comprehensively, the optimized wire feed angle was determined to be 45 degrees. 6 Optics and Laser Technology 134 (2021) 106589 W. Huang, et al. Fig. 8. The filler wire melting and transfer behaviors in liquid bridge transfer mode (P = 2600 W, VS = 1 m/min, VF = 2 m/min, WX = 0 mm). metal vapor/plasma ejecting force FV. The characteristic of each force is analyzed firstly. The gravity FG is defined as follows: FG = mg m= 4 3 r 3 FR = 0.54P0 exp( HLV T TLV ) rk2 RTTLV (9) where P0 is the atmospheric pressure, HLV is the latent heat of evaporation, T is the liquid temperature of droplet, TLV is the boiling point of the base metal, R is the universal gas constant, and rk is radius of the acting area taken as the radius of keyhole. The surface tension FS is given as follows: (7) (8) where r is the droplet radius, is the density of the droplet metal, g is the gravity accelation. It was observed by high-speed imaging technology that when the laser beam interacts with the droplet, a small keyhole is formed in the droplet. So a reaction force applied on the droplet was also generated on the opposite direction of vapor/plasma ejection, which is the evaporation recoil force FR. FR is calculated as follows [19]: FS = 2 (10) rw where is the surface tension coefficient, rw is the radius of filler wire. FV is given as follows [13]: FV = CD AP ( 7 2 V V 2 ) (11) Optics and Laser Technology 134 (2021) 106589 W. Huang, et al. direction of resultant force F is oblique downward, which resulted in the deviation of the position of the droplet and the laser beam, and then the metal vapor/plasma ejecting force FV was generated from the high speed metal vapor acting on the droplet which is ejected from the keyhole. At this time, the metal vapor/plasma ejecting force FV and surface tension FS acted as the restraining force together to prevent the droplet transfer. The size of droplet increased mainly by absorbing the plasma and metallic vapor radiation (PM) energy. However, due to the periodic appearance and disappearance of the metal vapor/plasma ejecting force FV and the evaporation recoil force FR, which affected the change of action direction of the resultant force and led to the droplet oscillation phenomenon. With the increase of absorbing energy, the droplet size increased. With increasing droplet size to a certain extent, the resultant force mostly pointed to the workpiece surface, and then it contacted with the molten pool, as shown in Fig. 11. After the liquid metal transferring to the molten pool completely, a transfer period was finished. In droplet transfer mode, laser beam heated the filler wire and base metal to generate the plasma and metallic vapor. Therefore, the filler wire melting and transfer behavior is mainly influenced by the laser irradiation (PL) and the plasma and metallic vapor radiation (PM), as shown in Fig. 12. Because the melted wire was transferred to the molten pool in the form of droplet, the transfer period is an important factor in evaluating the transfer behavior. In this study, the transfer period is defined as the time from the beginning of the laser beam heated the filler wire to form a droplet to the droplet transfer into the molten pool completely. The effect of the wire feed rate on the transfer period is shown in Fig. 13. It indicated that increasing the wire feed rate could significantly shorten the transfer period, while reducing the laser power prolonged the period. Fig. 9. The heating mechanism of the filler wire in liquid bridge transfer mode. AP = RP2 (12) where CD is the drag coefficient of metal vapor, AP is the projected area on the plan perpendicular to the flow direction of metal vapor, V is the density of metal vapor and V is the ejecting speed of the metal vapor. RP is the radius of projected area if the droplet is spherical. Due to the force is proportional to the projected area Ap, so the force is also related to the size of droplet. Fig. 10(b) shows the forces applied on the droplet in droplet transfer mode. It is seen that the droplet is affected by four forces. F is the resultant force, and the droplet transfer behavior was directly determined by the magnitude and action direction of the resultant force F. It can be seen from Eqs. (7), (8), (11), (12) that the gravity FG and the metal vapor/plasma ejecting force FV are related to the size of the droplet. With the increasing size of the droplet, the gravity FG and the metal vapor/plasma ejecting force FV increase. Therefore, the droplet transfer behavior was mainly determined by the metal vapor/plasma ejecting force FV and the gravity FG. Firstly, laser beam directly heated the filler wire to form droplet, and then the melted wire retracted and grew up to a spherical droplet. At the same time, a small keyhole was generated on the droplet, so the droplet was subjected the evaporation recoil force FR. The size of droplet increased mainly by absorbing the laser irradiation (PL) energy. With continuous wire feed, the droplet size and gravity FG increase gradually. At this time, only the surface tension FS acted as a restraining force to prevent the droplet transfer. The 3.5. The wire melting dynamics with different WX According to the characteristic interaction between laser beam and the filler wire, the relative distance (Wx) between laser beam and filler wire can be classified into three different cases. (1) laser beam and filler wire fully detach, WX > +1.5 mm; (2) laser beam and filler wire partially overlap, −1.5 mm < WX < +1.5 mm; (3) laser beam and filler wire fully overlap or laser beam is fully blocked by filler wire, WX < −1.5 mm. (1) When the distance Wx is larger than 1.5 mm, the laser beam and filler wire are fully detached. It was observed that the filler wire Fig. 10. The forces analysis in droplet transfer mode. 8 Optics and Laser Technology 134 (2021) 106589 W. Huang, et al. Fig. 11. The filler wire melting and transfer behaviors in droplet transfer mode (P = 2600 w, VS = 1 m/min, VF = 1 m/min, WX = −1.5 mm). was melted to form droplets and transfer into the molten pool. The melting and transfer behavior of filler wire is the droplet transfer mode. In this case, there was no direct laser beam heating the filler or liquid droplet, so the melting dynamics in this case are mainly influenced by the plasma and metallic vapor radiation (PM) and weld pool radiation (PW) is shown in Fig. 14. Based on physic mechanics, the wire melting dynamics was determined by the forces applied on the droplet. The droplet is affected mainly by three forces which include the gravity FG, the surface tension FS and the metal vapor/plasma ejecting force FV. Fig. 15 shows the forces analysis in the case of WX > +1.5 mm. F was the resultant force, and the vector sum or resultant force F can be obtained as: F = FG + FS + FV . In this case, there was no direct laser beam to heat the droplet, so the evaporation recoil force FR was neglected. The wire melting dynamics was directly determiner by the magnitude and action direction of the resultant force F. Since there was no direct laser beam acting on the droplet, the size of droplet increased mainly by absorbing the plasma and metallic vapor radiation (PM) and weld pool radiation (PW). At the beginning, the filler wire absorbed less energy, the droplet size is smaller, and the gravity FG is smaller. The direction of the resultant force F is oblique upward, which makes it difficult for the droplet to transfer into the molten pool. When the size of the droplet is big enough to be able to contact with the molten pool, a transfer period was finished. As the filler wire is away from the laser beam-base metal interaction point, the droplet transfer period becomes longer in the case of WX > +1.5 mm. Based on the above analysis, it can be summarized that when the relative distance (Wx) between laser beam and filler wire is too large (WX > +1.5 mm), the droplet transfer behavior is not stable. As the energy of melting the filler wire is small, the droplet transfer period becomes longer and the longer transfer period would lead to a bad welded appearance even with different wire feed rate. Therefore, the large distance Wx between laser beam and filler wire should be avoided. Fig. 12. The heating mechanism of the filler wire in droplet transfer mode. Fig. 13. Average transfer periods in droplet transfer mode with different wire feed rate (P = 2600 w, VS = 1 m/min, WX = −1.5 mm). (2) When the distance Wx is in the range of −1.5 mm to 1.5 mm, laser 9 Optics and Laser Technology 134 (2021) 106589 W. Huang, et al. Fig. 14. The heating mechanism of the filler wire in the case of WX > +1.5 mm. continuous wire feed, the droplet size and gravity FG increase gradually. When the droplet grows to a certain size, it would contact with the molten pool. (III) Finally, more filler wire melts into liquid metal under the combined energy from the laser irradiation (PL), the plasma and metallic vapor radiation (PM) and weld pool radiation (PW). A “liquid bridge” was established between wire tip and molten pool and the melted filler wire would flow smoothly into the molten pool through the “liquid bridge” under the combined force of gravity FG and surface tension FS. (3) When the distance Wx is smaller than −1.5 mm, laser beam and filler wire fully overlap or the laser beam is fully blocked by the filler wire. It was observed that the filler wire was melted to form droplets and transfer into the workpiece surface quickly. The melting and transfer behavior of filler wire is the droplet transfer mode. Fig. 15. The forces analysis in the case of WX > +1.5 mm. Fig. 17 shows process of the filler wire melting and transfer behaviors in the case of WX < −1.5 mm. The process can be divided into three phases: (I) Firstly, the laser beam directly heated and melted the filler wire to form droplet, and then the melted wire retracted and grew up to a spherical droplet. The droplet stuck to the end of the filler wire. (II) Secondly, the size of droplet increased mainly by absorbing the laser irradiation (PL) energy and the plasma and metallic vapor radiation (PM) energy. With continuous wire feed, the droplet size and gravity FG increase gradually. (III) Finally, with increasing the droplet size to some extent, the droplet contacted with the workpiece surface and detached from the filler wire due to the gravity FG and surface tension FS. After the droplet transferring to the workpiece surface completely, a transfer period was finished. Different from the heating mechanism of the filler wire of the case when Wx > +1.5 mm, the energy of melting the filler wire to form the droplet mainly depends on direct laser irradiation (PL) energy. Therefore, the speed of the filler wire turning to droplet is faster than the case of Wx > +1.5 mm. By analyzing the high speed imaging to record the time of droplet transfer, the transfer period was also significantly shortened, only half of the transfer period when Wx > +1.5 mm Fig. 18 shows the forces analysis in the case of WX < −1.5 mm. F was the resultant force, and the vector sum or resultant force F can be obtained as: F = FG + FS + FR . Then the wire melting dynamics was directly determined by the magnitude and action direction of the resultant force F. As the laser beam directly heated and melted the filler wire, the droplet grew up quickly, the direction of the resultant force F is oblique downward, which easily promotes the droplet transfer into the workpiece surface. Finally, the droplet is in contact with the workpiece surface, and the beam and filler wire partially overlap. Part of the laser beam is used to heat and melt the wire tip and another part of the laser beam is used to heat the base material to form a molten pool. The melting and transfer behavior of filler wire is the liquid bridge transfer mode in this case. When the laser beam and filler wire partially overlap, the laser beam, filler wire and molten pool have direct interaction between each other, the filler wire melting dynamics is mainly influenced by the laser irradiation (PL), the plasma and metallic vapor radiation (PM) and weld pool radiation (PW). Therefore, the filler wire can be melted and contact with the molten pool to establish a “liquid bridge” between wire tip and molten pool as long as the laser power and wire feed rate are adequate. When the laser power is constant and the distance Wx is in range −1.5 mm to 1.5 mm (−1.5 mm < WX < +1.5 mm), the laser energy used to melt the filler wire is determined by the wire feed rate (VF). In other words, the wire feed rate can be adjusted in a wide range while keeping both the wire melting and transfer processes stable in LWFW process. Due to the adjustability of the wire feed rate to freely adjust the energy to melt the filler wire and form molten pool, the welding process then became more stable and more adaptable using different welding parameters. Fig. 16 shows the schematic of melting mechanism in the case of −1.5 mm < WX < +1.5 mm. The process can be divided into three stages: (I) Firstly, the filler wire is fed into the heating zone. Part of the laser irradiation energy PL1 directly heated the filler wire to form droplet. At the same time, the other part of the laser irradiation energy PL2 heated the base material to form a molten pool. (II) Secondly, with 10 Optics and Laser Technology 134 (2021) 106589 W. Huang, et al. Fig. 16. The heating mechanism of the filler wire in the case of −1.5 mm < WX < +1.5 mm. Fig. 17. The heating mechanism of the filler wire in the case of WX < −1.5 mm. filler wire moved at a certain speed to separate the droplets from the filler wire tip. Based on the above analysis, it can be summarized that when the relative distance (Wx) is smaller than −1.5 mm, laser beam and filler wire fully overlap or the laser beam is fully blocked by the filler wire, the melting dynamics is similar to the case of Wx > +1.5 mm, the droplet transfer is likely to form and the weld bead is characterized by periodically present humpings. Although the heating mechanism of the case of Wx > +1.5 mm and the case of Wx < -1.5 mm are different and the case of Wx < −1.5 mm has a shorter transition period, droplet transfer mode was an unacceptable mode, and it would lead to an unstable welding process and a bad welded appearance even with different welding parameters. Therefore, the distance Wx < −1.5 mm should be avoided. 4. Conclusions In this work, the mechanism of the wire melting and transfer behavior and the wire melting dynamics was studied, with particular attention to the interaction mechanisms between laser beam and filler wire and the establishment of stable processing conditions of liquid bridge transfer mode. The main conclusions of the study were summarized as follows: (1) The wire feed angle ( ) is an important parameter affecting the absorptivity. The large wire feed angle is a disadvantage for increasing the absorptivity of the filler wire, but low wire feed angle ( ) must usually be avoided in practice applications because of the dimensional problems of wire feeder equipment. The best 11 Optics and Laser Technology 134 (2021) 106589 W. Huang, et al. References [1] R.W. Davies, H.E. Oliver, M.T. Smith, et al., Characterizing Al tailor-welded blanks for automotive applications, JOM 51 (11) (1999) 46–50. [2] E. Schubert, M. Klassen, I. 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(2) The different characteristics of the wire melting and transfer behavior cause of the different stability of the LWFW process. The liquid bridge transfer mode would lead to high stability and good weld quality. It is an ideal stable transfer mode, and the appearance of welded is uniform and smooth. The droplet transfer mode can strongly disturb the weld pool flow, causing fluctuations in the welding process, and resulting in undesirable weld bead. (3) The relative distance (Wx) between filler wire and laser beam could influence the wire melting and transfer behaviors even the whole welding stability significantly. Therefore, controlling the Wx and wire feed rate are the key to obtain the stable transfer mode for liquid bridge. The best WX ranged from −1.5 mm to +1.5 mm. (4) The differences of droplet transfer behaviors in different WX were explained by force analyse. The droplet transfer behavior was directly determined by the magnitude and action direction of the resultant force. Declaration of Competing Interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. Acknowledgements The authors are grateful for the support from the Natural Science Foundation of China under grant no. 51505009, 51475009, and 51575133. 12