3.1 Microstructure and tensile performance
Figure 3 shows microhardness profiles of the two laser welded joints measured near the lap interface. The hardness of weld beads is close to the HAZ but lower than that of the cold rolled plates. The average hardness of the 1.5 + 0.8-F and the 0.8 + 1.5-N weld bead is 229 HV and 215 HV, respectively, and the hardness of the former is slightly higher due to its more ferrite. Figure 4 shows two static tensile curves and the failed 0.8 + 1.5-N and 1.5 + 0.8-P specimens, and the load in ordinate was normalized by the welding length. The tensile curves of the two welded specimens are almost coincident, and due to the deformation of the 0.8 mm plate, the curves exhibit great ductility. The tensile shear fracture of both specimens occurred at the interfacial weld, and the maximum load of the 1.5 + 0.8-P was higher due to its wider interfacial weld bead.
3.2 Fatigue resistance
Fatigue experiments were performed on the 0.8 + 1.5-N and 1.5 + 0.8-P specimens based on their tensile test results. The S-N curve in the overload region was measured by single point fatigue tests, and the fatigue limit at 2 × 106 cycle life was measured by lifting fatigue tests. The initial load in a single point fatigue test was 35% of the maximum tensile load of the specimen, and the subsequent loading level was reduced by 3 to 5% of the maximum load in turn. All loading levels were located in the linear elastic portion of the tensile shear curve. Figure 5 shows fatigue lift charts of the lifting tests for the two specimens, in which “X” indicates that the specimen ruptured in less than 2 × 106 cycles, and “O” represents that the specimen ran out of 2 × 106 cycles without fracture.
The adjacent fracture and runout specimens were matched to a pair of subsamples, and the fatigue limits were calculated based on Fig. 5 using following fatigue statistical formula [15]:
where Pr is the mean load of N pairs of subsamples, k is the unilateral tolerance coefficient, s is the standard deviation, and Pp is the fatigue limit of p survival probability. Fatigue limits with a survival probability of 50% and 99.9%, a confidence rate of 90%, and an error rate of less than 5% are shown in Table 3, where the fatigue limits are the test loads and the normalized loads by the weld length, respectively. The fatigue limits of the non-penetration 0.8 + 1.5-N specimen are much lower than that of the penetration 1.5 + 0.8-P. In general, the mean fatigue limit P50 (with 50% survival rate) of lap welded joints is found to be 10 ~ 20% of the static maximum tensile loads [16], and the ratio of the 0.8 + 1.5-N and 1.5 + 0.8-P specimens is 15% and 19% respectively that suggests the fatigue resistance of both penetration and non-penetration joints being within a reasonable range.
Table 3
Fatigue limits with 50% and 99.9% survival rates, presented in load and normalized load by weld length
Specimen | Fatigue limit P50 | Fatigue limit P99.9 |
Load (kN) | Normalized load(N/mm) | Load (kN) | Normalized load(N/mm) |
0.8 + 1.5-N | 3.47 | 86.8 | 2.63 | 65.8 |
1.5 + 0.8-P | 4.34 | 108.5 | 3.76 | 94 |
Figure 6 shows the S–N curves based on the results of the single point test and the lifting test, in which the runout load is the mean fatigue limit. The crossed S-N curves indicate that the penetration and non-penetration joints have different fatigue resistance in high-cycle and low-cycle life zones. The 0.8 + 1.5-N joint has slightly higher fatigue resistance in low cycle life, but much lower in high cycle life, whereas 1.5 + 0.8-P is the opposite. The fatigue test data in high-cycle life of the 0.8 + 1.5-N joint shown in Fig. 5 exhibits more discrete than that of the 1.5 + 0.8-P.
3.3 Fatigue failure behaviour
Fig. 7 shows cross-sectional micrographs of the fatigue specimens failed in high-cycle and low-cycle lives, and double welding fusion boundaries can be found in some 0.8+1.5-N and 1.5+0.8-P specimens, which may be caused by the instability of the laser beam. Fig. 7 (a) and (b) are micrographs of high-cycle (1.01 × 106) and low-cycle (3.84 × 104) failure 0.8+1.5-N specimens, whose primary crack initiated at the welding fusion boundary of the non-penetrating 1.5 mm plate lap interface and extended through the plate thickness as the arrow shown, and there is a secondary crack in the penetrating 0.8 mm plate of the low-cycle failure joint, but no in the high-cycle failure. Fig. 7 (c) and (d) are micrographs of high-cycle (1.68 × 106) and low-cycle (1.51 × 104) failure 1.5+0.8-P specimens, whose primary crack started at the welding fusion boundary of the 0.8 mm thinner plate lap interface and extended through the plate thickness, and there are no secondary cracks in the two specimens. The low-cycle failure specimen shows a significant plastic deformation in the 0.8 mm fracture plate.
Fig. 8 shows fatigue fractographs of the fractured non-penetration 1.5 mm plate in high-cycle (1.01 × 106) failure 0.8+1.5-N specimen, and the crack in each fractograph propagated from the bottom to the top. Fig. 8 (a) is the overall view of the fracture surface and no plastic ribs are visible in the initial crack propagation region at the bottom. Fig. 8 (b) and (c) are fractographs of the initial crack propagation region near the lap interface, and the transgranular and intergranular fractures of the weld columnar grains perpendicular to the fusion line can be observed as shown by the yellow and white arrows, respectively, which indicated that the welding fusion boundary near the lap interface is the initial cracking site. Fig. 8 (d) is the fractograph of the final rapid crack propagation region close to the non-penetrated surface, which shows that there are mall cleavage fractures but no plastic dimples even in the ending fatigue fracture of the cold-rolled plate. Fig. 9 shows fatigue fractographs of the fractured 0.8 mm plate in high-cycle (1.68 × 106) failure 1.5+0.8-P specimen. Fig. 9 (a) is the overall view of the fracture surface and there are long plastic ribs in the initial crack growth region at the bottom. The transgranular and intergranular fractures of the weld columnar grains are also observed in the magnified images of the initial crack extension region as shown in Fig. 9(b) and (c), which proved that the welding fusion boundary is the initial cracking area. The diameter of weld columnar grains shown in the fatigue fractographs is less than 20 μm. The fractograph of the rapid crack propagation region shown in Fig. 9 (d) is the fatigue fracture of the cold-rolled plate, there are plastic ribs without smooth cleavage fractures.
3.4. Stress simulation sanalysis
Stress simulation analysis was performed on the 0.8 + 1.5-N and 1.5 + 0.8-P laser welded joints using Abaqus software under the load of mean fatigue limits P50 to obtain their fatigue resistance stresses. Based on the weld sizes shown in Fig. 2, finite element models of the two laser welded specimens were developed with a Poisson's ratio and elastic modulus of 0.3 and 206 GPa, respectively, and the red lines represent the weld beads. The stress distributions of the upper and lower lap plates in the two joints are shown in Fig. 10, and the maximum Mises stresses are shown in Table 4.
Table 4
Maximum Mises stress of the upper and lower plates under loads of mean fatigue limit P50
Specimen | P50 (kN) | upper plate σMises | lower plate σMises |
0.8 + 1.5-N | 3.47 | 387 | 326 |
1.5 + 0.8-P | 4.34 | 354 | 408 |
Figure 10 shows that the maximum Mises stress of the lap welded plates was located near the welding fusion line at the lap interface, and the stress decreased with the increase of the plate thickness. Under the load of mean fatigue limit, the maximum stress of the non-penetration 0.8 + 1.5-N joint was lower than the yield strength of the base metal and the welded joint was completely linearly elastic. However, the maximum stress in the 0.8 mm thinner plate of the penetration 1.5 + 0.8-P specimen was very close to the yield strength, so there might be a small yielded zone in the lower plate near the weld at lap interface.
The maximum stress position of the penetration 1.5 + 0.8-P joint was coincided with the initiation site of primary fatigue crack in the 0.8 mm sheet. However, instead of the maximum stress position, the initiation site of the primary fatigue crack for the non-penetration 0.8 + 1.5-N joint was in the non-penetration 1.5 mm plate whose stress was lower 61 MPa than the maximum stress, which may be related to its larger welding residual stress.
3.5 Analysis and discussion
The fracture location is the result of competition between the local stress and fatigue resistance in welded joints, and the fatigue strength of welded joints depends on the fatigue resistance of their fracture regions [17–20]. The fatigue fracture of both penetration and non-penetration joints was initiated at the welding fusion boundary on the lap interface of the lower lap plate, which indicated that the fusion boundary of the two laser welded joints had relatively low fatigue resistance and high stress. However, the fatigue resistance of the penetration and non-penetration joints made of the same lap plates was different. Due to the lower local notch stress in the fractured plate, the low-cycle fatigue resistance of the 0.8 + 1.5-N joint was higher than that of the 1.5 + 0.8-P. However, the high-cycle fatigue resistance of the two joints was the opposite, the 1.5 + 0.8-P joint with the higher local stress in the fractured plate showed the higher fatigue strength than the 0.8 + 1.5-N joint with the lower local stress, which may be due to residual stress.
The welding heat input is asymmetrical in the thickness of the non-penetration plate, where the solidification and phase transformation of the weld bead are not synchronized with the cooling contraction of the partial non-penetrated plate, and the constraint of free expansion and contraction of the weld bead in the non-penetration plate is greater than that of the penetration plate, as a result, the residual stress near the weld fusion line of the non-penetration plate is much higher than that of the penetration plate [21–23].
The influence of residual stress on fatigue performance depends on the applied stress ratio [24, 25]. The initial residual stress tends to relax during the cycle loading process, and the extent of relaxation depends on plastic strain caused by the increasing applied load, and if the applied tensile mean stress is high enough, the effect of the residual tensile stresses generally vanish [24–29]. In the elastic zone of low applied mean stress, the combination of residual tensile stress and applied load increases the mean stress and makes the welded joint seem to work under higher loads, thereby reducing the high-cycle fatigue resistance, whereas the residual stress does not contribute to the plastic collapse at crack tips [24–26], which coincides with the fatigue fractograph of the high-cycle failure 0.8-1.5-N joint without plastic region. Therefore, the high-cycle fracture of the non-penetration plate in the 0.8 + 1.5-N joint was the results of the combination of local notch stress and residual stress, and the fracture of the penetration plate in the 1.5 + 0.8-P joint was mainly caused by the local notch stress, which resulted in a reduction of 61 MPa in the fatigue resistance stress of the non-penetration plate. The fatigue resistance stress at the primary crack initiated position of the penetration and non-penetration laser welded joints calculated based on their mean fatigue limits can be used as reference stress for fatigue design of the laser welded structures.