1 Introduction

Selective laser melting (SLM), as one of the additive manufacturing (AM) methods, has great potential for promoting the design and manufacturing of products in many fields across the vast spectrum of engineering and materials science. It is one of the leading techniques of AM that enables direct computer-aided design of parts without part-specific tooling. However, many obstacles have to be overcome before it can become an industrially viable, widely accepted manufacturing technology. One of these obstacles is understanding the relationship between the process parameters and the resultant properties of parts manufactured by SLM. It has been pointed out that there are more than 130 factors affecting the quality of parts built by AM [1]. In addition, numerous investigations have been conducted to reveal the relationships between the process parameters and the properties of parts produced by AM [2,3,4,5]. The properties of aluminum alloys or titanium alloys manufactured by AM can be greatly enhanced by adding certain elements to form refined grains [6, 7]. In contrast, 316L stainless steel (316L SS) samples additively manufactured via SLM are reported to exhibit yield strength (YS) and tensile ductility values that considerably surpass those of wrought 316L SS [8,9,10,11]. These results indicate the probability of optimizing the SLM process parameters to tailor the microstructures and obtain excellent mechanical properties of manufactured parts by utilizing specific SLM processing strategies. For optimizing the process parameters, the Taguchi methods with orthogonal array design and dimensional analysis would be valuable [12,13,14]. With the normalized processing map and dimensionless parameters developed by Thomas [15], it is concluded that laser power (corresponding to normalized power q*) is the most significant factor affecting all the response variables, while the normalized equivalent energy density (E0*) is also a key processing index for controlling the properties of built parts [15,16,17].

Thomas et al. [15] have outlined the practical processing limits for several materials processed by powder bed fusion with the normalized process parameters and normalized processing diagram. Regions where either voids or internal cracks are observed are annotated on the normalized processing map. However, an optimum processing window which is applicable to one material by the normalized processing diagram has not been well established. Of particular importance is that there is also little information available on how microstructure varies with E0*. In this study, a normalized process map is adopted to design the experiment. The validity of the normalized process map and dimensionless variables has been demonstrated by recent works [10, 16, 18, 19]. To explore the process parameters in a more extensive range, parameters are deliberately selected so that the corresponding dimensionless variables plotted on the normalized process map are extended to a larger range than that of the map in Ref. [16]. The relative density of the built part is examined in detail through analyzing the micrograph of a cross section of the part with the aid of quantitative index, namely circularity index (CI) [15]. A high laser power may generate a keyhole effect or an intensive flow, which increases the porosity of the built part. Therefore, low values of normalized equivalent energy density (E0*) and normalized power (q*) are emphasized when selecting experimental parameters to avoid such problems and reduce the production cost. Finally, to verify the results of the experiment, tensile tests are carried out with dogbone samples. The results of tensile tests and fracture morphology are then analyzed.

2 Experimental

2.1 Design of Experiment

Previous studies have shown that the mechanical properties of SLM-manufactured parts are strongly affected by defects [20], melt pool shape [21], and primary dendrite spacing [3, 10], which are dependent on the process parameters. A thorough understanding of the relationship between them is of great importance. The experimental work in this study will focus on the effect of process parameters on the following response variables: internal defects, melt pool shape, and primary dendrite spacing.

The expressions of the normalized quantities are defined in the following [15].

Dimensionless laser power is

$$q^{*} = Aq/[R\lambda (T_{{\text{m}}} - T_{0} )],$$
(1)

where A is the surface absorptivity, q the laser power (W), R the laser beam radius (m), λ the thermal conductivity (W m−1 K−1), Tm the melting temperature (K), and T0 the initial (or powder bed) temperature of the material (K). Dimensionless laser scanning speed is

$$v^{*} = vR/\alpha,$$
(2)

where v is the laser scanning speed (m s−1) and α is the thermal diffusivity at melting point (m2 s−1). The dimensionless layer height (l*) and dimensionless hatch spacing (h*) are defined as

$$l^{*} = 2l/R,\quad h^{*} = h/R,$$
(3)

where l and h are the layer thickness (μm) and hatch spacing (μm), respectively.

The dimensionless normalized equivalent energy density E0* is defined as

$$E_{0}^{*} = q^{*} /\left( {v^{*} l^{*} h^{*} } \right) = [Aq/2vlh][1/\rho C_{{\text{p}}} (T_{{\text{m}}} - T_{0} )],$$
(4)

where ρ is the density of 316L SS (kg·m−3) and Cp is the specific heat capacity (J kg−1 K−1). According to Ion et al. [14] and Thomas et al. [15], q* and v* can be used to control the peak temperature and heating rate of the thermal cycle at a point in the material, while E0* represents the ratio of the dimensionless volumetric heat input per scan line to the dimensionless hatch spacing. Physically, a constant E0* value provides an equally energy efficient treatment during SLM [15]. To better understand the variation of internal defects, melt pool shape, and microstructure with the process parameters, the parameters are selected based on the following principles:

  1. 1.

    Three levels of laser power, i.e., 95 W, 206 W, and 360 W, which correspond to low power (L-P), medium power (M-P), and high power (H-P), respectively, are utilized.

  2. 2.

    If E0* remains constant during the SLM process at the three different laser power levels, then values of q*/v*, normalized hatch spacing h*, and normalized layer thickness l* are kept constant.

  3. 3.

    At a certain laser power, the dimensionless hatch spacing h* or dimensionless scanning speed v* is changed, resulting in E0* values within the range of 1.49–5.25.

During the SLM process, the layer thickness (l) remains unchanged (30 μm), which corresponds to a normalized layer thickness (l*) of 1.5. The various designed process parameters are listed in Table 1 (the rightmost column is the experiment result of relative density). The thermophysical properties of 316L SS used for calculating the normalized quantities are presented in Table 2. To compare our experimental data with those of other studies, the dimensionless quantities calculated from Table 1 are plotted in Fig. 1 together with the normalized data from other studies. It can be observed that the minimum energy density (corresponding to E0* = 1.49) in this study is close to that of the pulse mode laser condition, while the maximum energy density (corresponding to E0* = 5.25) exceeds the data from most of the other studies.

Table 1 List of processing parameters in this study
Table 2 Thermophysical properties of 316L SS used for calculating the normalized quantities
Fig. 1
figure 1

Normalized process map showing the location of dimensional variables corresponding to the experimental process parameters selected from Table 1 (the experimental data are enclosed in the blue dashed rectangle and the boundary of the experimental data in Ref. [16] is the black dashed rectangle). Contours of constant normalized equivalent energy density, E0*, are provided by the dashed lines

Figure 2 shows the scanning electron microscopy (SEM) image of the 316L SS powder used in the study. It is a gas atomized spherical powder supplied by Avimetal Powder Metallurgy Technology Co., Ltd, China, with a particle size distribution of 15–53 μm. The nominal chemical composition by weight is 18.84% Cr, 10.68% Ni, 2.26% Mo, 1.05% Mn, 0.91% Si, < 0.03% C, < 0.04% P, < 0.01% S, < 0.1% N, and the balance Fe. The experiment was conducted using EP-M250 (Shining 3D, China), which is a commercial product mainly consisting of a fiber laser with a maximum power of 400 W and a beam diameter of 80 μm, an independently developed slicing software “E-plus 3D printing system,” an automatic powder feeding system, an inner gas protection system, and a computer system for controlling the process. The oxygen content was maintained below ~ 1000 ppm during the SLM process. A zigzag, also often referred to as the meander scan strategy, was used for each component, where the angle of the laser was rotated by 67° between each layer. Twenty seven parts under the different process parameters listed in Table 1 were fabricated (Fig. 3). Each part measures 15 mm (length) × 15 mm (width) × 10 mm (height) with the height of 10 mm along the build direction (Fig. 4a).

Fig. 2
figure 2

SEM image of the 316L SS powder used

Fig. 3
figure 3

Layout of cube array (the blue arrows indicate that the part cannot be successfully fabricated under this process parameter)

Fig. 4
figure 4

Dimension of the as-fabricated sample and as-fabricated tensile specimen: a sketch of the 24 regions of interest for evaluating the density of each part, among which 8 regions of interest for quantitative statistics of defect size and morphology are indicated by the blue rectangle; b dimension of the dogbone sample after machining

2.2 Analysis of Microstructural Characteristics

Each part was cut from the substrate by wire cutting. The side faces of all samples were ground using SiC papers from 200–3000 grits before being polished using a 1.5-μm diamond suspension. To better understand the information about the size, distribution, and form of defect in the as-fabricated part, an image analysis method was adopted in the experiment instead of the Archimedes principle to evaluate the relative density [15, 26]. The density measurement using the above two methods seems to be contrary to each other. Some authors reported that the measured density is higher when using the image analysis method [25, 27]. Others argued that using the Archimedes method might overestimate the relative density because the unmelted powder particles could be filled in the pores, which will also contribute to the total mass of the sample, and therefore increase the measured density [28, 29]. These contradictory results can be attributed to the different detected cross sections, different magnifications, and different selected positions taken for the micrographs, which can affect the measured density [26]. The density measurement should be based on several micrographs allowing to calculate a mean value within a certain cross section, especially at relatively higher magnifications, e.g., 80 × [26]. The relative density ρ0 of each part (in percentage) was analyzed using the Image-Pro Plus 6.0 software under optical microscopy (OM) (55XA, Shanghai Optical Instrument Factory). The porosity, which is equal to 100% minus ρ0, is evaluated by calculating the area percentage of pores on the polished surface. The population of pores was measured by examining up to 24 regions per specimen from 3 lines of 8 regions; the lines are located at the top, middle, and bottom of the part (Fig. 4a; the regions of interest are represented by a circle). Since the outermost materials were removed from the SLM-processed parts before tensile tests, only eight OM images of the middle part were quantified statistically to qualify the size and morphology of pores (Fig. 4a; the blue rectangle shows the eight observed regions). The absolute frequency is used to count the number of defects presented within the observed range. CI is used to indicate the roundness of the defects and is calculated by using the following equation [15]:

$${\text{CI}} = (4\pi A_{{\text{F}}} )/\left( {P_{{\text{F}}}^{2} } \right),$$
(5)

where AF is the cross-sectional area of a given microstructural feature and PF is the perimeter. CI = 1 means a perfectly spherical pore. After porosity counting, all the samples were chemically etched in an acidic water solution containing 2% HF and 8% HNO3 for approximately 30 min at room temperature. Cross-sectional examinations of the scanning tracks parallel to the build direction were carried out by OM and SEM (FEI Sirion 400 NC, 15 kV) to observe the defects and melt pool shape. The quantitative index, namely primary dendrite spacing λ0, was measured using at least three SEM images in arbitrary regions at each sample.

2.3 Test of Mechanical Properties

To verify the results of the microstructural characteristic analysis of the as-fabricated parts, tensile tests were performed with parameters corresponding to the better analysis results, while a low E0* value was emphasized. Rectangular bars with dimensions of 45 mm (length) × 10 mm (width) × 10 mm (height) were produced with the height parallel to the build direction (Fig. 4b). The meander scan strategy was used for the fabrication of the rectangular bars with the angle of the laser rotated by 67° between each layer. During the SLM process, the oxygen content was also maintained below ~ 1000 ppm. The fabricated rectangular bars were machined to standard dogbone samples according to GB/T 228.1-2010 (Fig. 4b). Tensile tests were carried out at room temperature on a CMT5105S testing machine (SANS, China) at a crosshead velocity of 2 mm/min. The tensile direction was parallel to the length direction (Fig. 4b). The mechanical properties were the average results of five tests with the same process parameters. After tensile testing, the fracture surfaces of the tensile specimens were observed by SEM.

3 Results and Discussion

3.1 Effect of Process Parameters on Relative Density, Defects, and Melt Pool Shape

3.1.1 Relative Density

Figure 3 shows that sample No. 19 and No. 20 cannot be successfully fabricated as indicated by the blue arrows. Two reasons might be responsible for the outcome of the failure for No. 19 and No. 20 SLM-produced parts. On the one hand, the scanning speed used in the two samples is 1575 mm/s which is greater than that of the other samples except Sample No. 24 and No. 25. Such a high scanning speed results in a large amount of micrometer-scaled balls on the SLMed surface [30]. On the other hand, the hatch spacing utilized by Sample No. 19 and No. 20 is 50 μm and 70 μm, respectively, which is less than that of the other samples. The hatch spacing used for a combination of a certain process parameter might beyond the optimum processing window for forming good surface. In fact, by gradually increasing the hatch spacing, the SLM-manufactured parts could be fabricated successfully (Table 1, Sample Nos. 19–23). The large amount of micrometer-scaled balls and overlapped scanning tracks caused by utilizing a high scanning speed and a low hatch spacing in Sample No. 19 and No. 20, respectively, could deteriorate the surface flatness, thereby hindering the paving process. The density measurement result is shown in Fig. 5a which is derived from image analysis by the rest of 25 samples.

Fig. 5
figure 5

Effect of process parameters on relative density: a density measurement results, b a normalized processing diagram showing the location of high-density (> 99%) SLM-processed part. The dashed lines represent contours of constant E0*

Though the data scatter is large, the highest density region at different normalized laser powers can still be clearly observed in Fig. 5a (the highest density region at the three q* values are marked by green ellipse). Beyond this region, the relative density would show a lower value. The variation of porosity accordingly to different process parameters is illustrated in “Electronic supplementary material,” where the high-density region is highlighted by a blue dashed rectangle. The top four highest densities presented in Fig. 5a are 99.22%, 99.17%, 98.97%, and 98.93%, which correspond to those of Sample No. 21, No. 25, No. 13, and No. 12, respectively (see Table 1). The relative density tends to decline quickly at L-P (q* = 20.99), while it remains greater than 98% at H-P (q* = 79.54) even when the process parameters vary extensively. This phenomenon was also observed by Kamath et al. [25], who reported that higher power values can provide greater flexibility in choosing the process parameters that can optimize the various properties of a manufactured part. The density of the part at H-P is generally greater than those at L-P and M-P when E0* is constant. It can be roughly concluded that the highest density range is associated with E0* and q* values of approximately 1.83–2.33 and 45.52–79.54, respectively. According to Wang et al. [31] and Thomas et al. [15], the normalized processing diagram can be used to identify processing window for different materials and offer a better comparison with various laser process parameters from different SLM machines. Here, we compare our results (i.e., the top four highest densities) with the work carried out by others, including data from several studies on Ti–6Al–4V and 316L SS processed by different SLM machines (as shown in Fig. 5b). It is observed that high-density samples can be produced in a region when 1.1 < E0* < 2.5, regardless of the materials and machine type. It is worthy of noticing that the highest density attained in this study lies in this region, suggesting that the normalized processing diagram might be a good indicator for SLM process. It should be emphasized that scan strategy and powder layer characteristics are not considered in such a processing diagram although they are expected to impact the density of parts [31].

Actually, the data scatter (i.e., the length of “error bar”) at a certain process parameter is relatively large because both the dimension and number of pores differ greatly from image to image (see Electronic supplementary material). It is found that the amount of pores near the top of the sample is greater than those in the middle and the bottom because the as-fabricated samples in the bottom occupied a higher temperature region, where the substrate was preheated and experienced more thermal cycles that facilitated more complete melting of powder than those at the middle and the top.

Another way of distinguishing the density of SLM-produced parts under the different process parameters is to observe melt flow traces on the top surface structure of the as-fabricated samples [32]. Figure 6 displays a typical surface structure of samples under various E0* and q* values. Although a constant E0* value suggests an equally energy efficient process, the surface structure at E0* = 5.25 is very different. It is irregularly shaped at L-P (Fig. 6a) due to serious balling. It is prone to be smoother and homogeneously overlapped with neighboring scanning tracks at relatively higher laser power values, i.e., M-P and H-P (Fig. 6b, c). Figure 6c–f indicates that the top surface structure tends to become flatter with E0* increasing from 1.49 to 5.25 when q* is kept at a higher value of 79.54. This implies that a greater value of E0* may lead to a lower surface roughness, which is consistent with the results of the studies by Jiang et al. [16] and Cherry et al. [33]. The top surface structure will develop cave-like pores because the next layer overhangs the previous layer if E0* is extremely low. It can be seen from Table 1 that the scanning speed is up to 2465 mm/s, corresponding to v* = 18.33 for Sample No. 24. The melt pool may become unstable in this case due to more pronounced splashing of molten particles [32]. It is noted that the lowest E0* value does not result in the lowest relative density, although the top surface structure at E0* = 1.49 is significantly more irregular than that at the greater value of E0* (Figs. 5a and 6c, e). On the contrary, the density at the lowest E0* = 1.49 leads to a higher density (98.60%) than that at the highest E0* = 5.25 (97.96%) (see Table 1). An investigation of the relationship between the relative density and melt pool shape will be discussed in detail in Sect. 3.1.3.

Fig. 6
figure 6

SEM images showing the topography of the top surface structure of typical as-fabricated 316L SS samples: ac effect of q* on the top surface structure when E0* is constant; ce effect of E0* on the top surface structure when q* is constant; f magnified view of e

3.1.2 Quantitative Statistics of Defect Size and Morphology

The laser power used by earlier studies for the SLM process is usually less than 200 W [1, 3, 20]. Internal defects inadvertently become the focus of research. Currently, SLM machines with laser power greater than or equal to 400 W are increasingly becoming popular; few studies have been conducted using operating laser power greater than or equal to 400 W [9, 21, 34]. This could be because keyhole effect or intensive flows within the melt pool would be easily generated resulting in more internal defects [24, 35, 36]. Internal defects, such as lack of fusion, gas porosity, and keyhole mode pores, have great influence on the relative density and mechanical performance of SLM-produced parts. Figure 7 depicts the absolute frequency histograms of the number of defects detected across a constant area of analysis of ~ 7.5 mm2. It shows that the size and morphology of defects vary with E0* and q*. The size of defects can be classified into two types: one is irregular defect, which is usually greater than 50 μm (i.e., large defect), and the other is small pore, which is less than 50 μm. It is observed that the absolute frequency of large defects reduces from 161 to 32 with increasing q* when E0* remains at 5.25 (Fig. 7a–c and Table 3). Irregular defects, which are caused by lack of fusion, are mainly attributed to insufficient melting of powder or a small penetration depth [37], and can be reduced by importing enough heat into powder bed. At a constant E0* (i.e., E0* = 5.25), the temperature rising at H-P is higher than those at M-P and L-P, which leads to a more complete melting process; thus, irregular defects caused by lack of fusion decrease with increasing laser power (see Electronic supplementary material). However, too much heat imported into Sample No. 27 leads the maximum temperature in the melt pool to exceed the material boiling temperature, resulting in significant keyhole defects in the part (Fig. 7c, the inset figure shows that many small pores are formed, and Fig. 8). The absolute frequency of small pores detected in Sample No. 27 is 3308 (see Table 3), which is greater than that of other samples. At a constant q* (i.e., q* = 79.54), the absolute frequency of large defects firstly decreases with E0* increasing (from 46 in Sample No. 24 to 15 in Sample No. 21) and then shows an increasing trend (from 15 in Sample Nos. 21–32 in Sample No. 27, see Table 3). The tendency is corresponding to the variation in relative density. The result suggests that an optimum processing window for achieving high density SLM-manufactured part exists. Utilizing a combination of process parameters that far beyond this region can increase the tendency of forming large defect even E0* is sufficiently high (see Table 3). Despite the defect size distribution, its morphology was also quantified according to Eq. (5). The average value of CI was estimated based on the defect size morphology distribution (Fig. 7f–j). It is evident that when the E0* value is constant, the average CI increases from 0.63 to 0.77 with increasing q* (Fig. 7f–h). This implies that the morphology of defect tends to be spherical as the laser power increases when E0* is constant. The maximum CI = 0.85 corresponds to the highest density of 99.22% at E0* = 2.33 and q* = 79.54 (Fig. 7i). The quantitative statistics of defect size and morphology indicate that the morphology of defect is nearly spherical when high-density (≥ 99%) parts are achieved.

Fig. 7
figure 7

Absolute frequency histograms illustrating the effect of process parameters on the size and morphology of defects: ae defect size distributions fj morphology distributions

Table 3 Absolute frequency of large defects and the total absolute frequency of defects detected at different samples
Fig. 8
figure 8

Nine OM images of cross-sectional views of scanning tracks with q* and E0* as abscissa and ordinate, respectively (the dark blue arrows indicate keyhole defects, while the green ones represent irregular defects)

3.1.3 Melt Pool Shape

It has been reported that the melt pool shape at high laser power is different from that at low laser power [9, 21]. A tensile sample with a narrow, deep melt pool shape would demonstrate better mechanical properties than that with a wide, shallow melt pool shape [9]. To reveal the locations of defects in melt pools and evaluate the melt pool shape variation with the process parameters, nine typical OM images of cross-sectional views of scanning tracks were arrayed on a rectangular plane coordinate with q* and E0* as the abscissa and ordinate, respectively. Generally, the melt pool shape has a small depth and long width at L-P, while it has a large depth and narrow width at H-P (Fig. 8). It has been pointed out that increasing melt pool depth is beneficial for enhancing the density of the built part [37]. It is observed that the melt pool depth becomes larger with the increase of q* when E0* is constant, and hence a higher relative density is achieved (Figs. 5a, 8). At a constant q*, the melt pool depth shows an increasing trend with increasing E0*. However, a large melt pool depth does not always bring a positive result. Significant keyhole defects are found on Sample No. 18 and No. 27, which correspond to relative densities of 97.37% and 97.96%, respectively, lowering the density of the parts owing to melt pool instability. Furthermore, it is observed that the keyhole defects are usually located at the bottom of the melt pool and are spherical (Fig. 8, Sample No. 18 and No. 27), which is consistent with the experimental result of King et al. [24]. The experimental results showed that the melt pool shape could be tailored by the SLM process parameters and a relative density > 98.5% could be achieved at a lower E0*.

Figure 8 indicates that periodic melt pools experience partial overlapping and remelting. The laser scanning direction is rotated by 67° layer by layer, leading to deviations in the orientation of the melt pools. It is observed that irregular defects are more likely to occur at L-P than at M-P and H-P, and these defects are usually located at the bottom of the melt pool boundaries (Fig. 8, Sample No. 3, No. 6, and No. 9). These irregular defects are detrimental to the relative density and in turn affect the mechanical properties of parts. It is noteworthy that irregular defects are also observed at a greater E0* using L-P (Fig. 8, Sample No. 9). One of the possible reasons is that the stability zone at L-P is relatively narrower than that at H-P when E0* remains at 5.25. Such a high-energy density (E0* = 5.25) at L-P is beyond the optimum processing window for forming a single track [38]. Thus, a non-continuous single track containing many irregular defects is formed. On the other hand, a high E0* leads to an increase in the single melt volume and a decrease in the melt viscosity. The melt hydrodynamics driven by the Marangoni effect become more significant in this case, both of which significantly affect the melt pool stability [38].

3.2 Effect of Process Parameters on Primary Dendrite Spacing

A hierarchical structure is now regarded as one of the main factors for simultaneously improving both strength and ductility of SLM-manufactured 316L SS parts [3, 10, 39]. It can be divided into multiple-length scales, e.g., macroscale level, microscale level, and nanoscale level. The typical structures of these characteristic length scales include melt pools generated by laser scanning, intragranular cellular segregation network structures (cellular structures in short), and oxide nano-inclusions formed in situ, respectively [3]. Figure 9a displays an SEM image parallel to the building direction (Sample No. 6), which reveals the complex microstructure of the as-fabricated sample. The fusion boundaries, grain orientations (i.e., the longitudinal side and transverse region as indicated in Fig. 9a), and cellular structures (Fig. 9b) are clearly shown. By using the “area method,” the primary dendrite spacing \({\lambda }_{0}\) can be calculated by the following equation [40]:

$$\lambda_{0} = \frac{1}{M}\left( {\frac{{A_{0} }}{N}} \right),$$
(6)

where M is the magnification of the SEM micrograph, N is the number of the dendrites on the target zone indicated by the red rectangle as shown in Figs. 9c, and A0 is the area of the rectangle. The detailed procedures of conducting the SEM observations to measure the primary dendrite spacing are illustrated in Fig. 9c. Figure 10 shows that the primary dendrite spacing monotonously increases from ~ 0.35 to ~ 1.5 μm when E0* increases from 1.49 to 5.25. The difference in the primary dendrite spacing at a constant E0* becomes more divergent, especially when E0* is greater than 3.24, while the difference is little when E0* increases from 1.91 to 3.24. The result indicates that an optimum processing window exists in this range because a refined primary dendrite spacing (Fig. 10) and a relative density > 98.5% (Fig. 5a) are achieved simultaneously.

Fig. 9
figure 9

a Typical SEM image of the as-fabricated sample revealing the complex microstructure of 316L SS sample, b magnified view revealing the solidified cellular structures in a, c an example of conducting the SEM observations to measure the cell structure size at various process parameters

Fig. 10
figure 10

Effect of process parameters on primary dendrite spacing (cell size)

It is known that primary dendrite spacing is dependent on the cooling rate. For SLM-produced 316L SS, it is expressed as follows [41]:

$$\lambda_{0} = 80\dot{T}^{ - 0.33} ,$$
(7)

where \(\dot{T}\) (K/s) is the cooling rate, which is \(\dot{T} = \left( {\lambda_{0} /80} \right)^{ - 3}.\) According to Zhong et al. [3], when low scanning speed is utilized, i.e., a higher energy density, the resulted lower cooling rate will lead to larger micro-sized cells as the size of the cellular structure depends on the cooling rate. Figure 11 depicts the calculated cooling rate under various process parameters in this study. It is evident that a higher cooling rate is achieved at a lower E0*, and the cooling rate shows a decreasing trend when the overall energy density imported to the powder bed increased. The cooling rate in our experiment ranges from the order of 105–107 K/s, which is consistent with that of other studies [3, 4, 21]. From Fig. 10 and Fig. 11, it can be concluded that a lower E0* leads to a higher cooling rate, resulting in a finer microstructure. It is suggested that the yield strength σy of a SLM-manufacture part can be estimated by primary dendrite spacing λ0 (i.e., cell size). The expression is [10]

$$\sigma_{y} = 183.31 + 253.66/(\lambda_{0} )^{0.5}.$$
(8)
Fig. 11
figure 11

Effect of process parameters on the cooling rate of the as-fabricated samples

Apparently, a higher YS results from a refined cellular structure, which can be obtained at a relatively lower E0*. It is notable that the energy density utilized by concept [10] is approximately E0* = 2.0, which is far lower than the energy density used by most researchers [9, 11, 39, 42]. Therefore, selecting a combination of process parameters that results in a low E0* will be of great importance for SLM-processed parts to attain good mechanical properties. However, an extremely low E0* is detrimental to the relative density of such parts [4, 39]. It should be pointed out that the cell size is only one of the strengthening mechanisms. Sun et al. [9] argued that a different melt pool shape results in a different crystallographic texture, which is also a strengthening mechanism, by affecting the deformation twinning capacity and amount of initial dislocation density. Therefore, reducing the effect of the melt pool shape on the mechanical property is of remarkable importance in terms of its cell size under different process parameters.

3.3 Verification of Achieving Good Tensile Properties at Low E 0*

To achieve excellent mechanical properties by controlling microstructure of SLM-manufactured parts, the volume energy density has been widely adopted by many researchers in designing or optimizing the process parameters of SLM-manufactured parts [33, 27, 39, 43]. However, the value is close to 104.52 J/mm3 in Refs. [9, 33, 27] and is approximately 69 J/mm3 in Ref. [10]. Notice that the tensile behavior of the sample with 69 J/mm3 is better than many reported data so far. Based on the experimental results shown in Figs. 10 and 11, it can be deduced that further improving the strength of a SLM-manufactured part via a low E0* might be one of the feasible ways to achieve this goal. To evaluate the above results of relative density, melt pool shape, and primary dendrite spacing, two sets of tensile tests were performed. The principles of parameter selection from Table 1 are as follows:

  1. 1.

    The density of the built part is larger than 98.5%.

  2. 2.

    The cell size is less than 0.5 μm.

  3. 3.

    The melt pool should not be too deep, and the melt tracks should be well overlapped by adjacent ones.

  4. 4.

    The corresponding E0* is relatively low.

Therefore, the parameters corresponding to Sample No. 12 and No. 24 were selected and dogbone samples were produced using these parameters. The normalized work hardening rate is calculated as \(\theta^{^{\prime}} = ({\text{d}}\sigma /{\text{d}}\varepsilon )/G\), where σ and ε are the true stress and true strain, respectively, and G is the shear modulus for 316L SS [9]. For convenience, the tensile test results are simply expressed for Sample No. 12 (q* = 45.52 and E0* = 2.33) and Sample No. 24 (q* = 79.54 and E0* = 1.49) on the following.

Figure 12a, b illustrates the engineering tensile stress–strain curves and true stress–strain curves for the two sets of process parameters, respectively. A uniform elongation is highlighted in Fig. 12a. The representative normalized work hardening rates as a function of the true strain are presented in Fig. 12c. It can be observed that the two sets of process parameters resulted in excellent mechanical properties when compared with many research works (Electronic supplementary material). The mechanical properties of Sample No. 12 (YS = 584 MPa, ultimate tensile strength (UTS) = 773 MPa, and elongation to failure (εf) = 46%) are better than those of Sample No. 24 (YS = 549 MPa, UTS = 708 MPa, and εf = 28%). The work hardening period of Sample No. 12, which started at a true strain of ~ 0.04, is longer than that of Sample No. 24 (true strain of ~ 0.05) (Fig. 12c). This is a common phenomenon for SLM-processed parts with high ductility [9, 10]. Moreover, the stress–strain curves of Sample No. 12 show good consistency, while that of Sample No. 24 shows a larger dispersion. Since the relative density of Sample No. 12 (98.93%) is greater than that of Sample No. 24 (98.6%) (Fig. 5a), it can be deduced that the defects in Sample No. 24, which are located at the melt pool boundaries or columnar grain boundaries, are greater in number than those of Sample No. 12. These defects become the weakest region and the starting point of failure [3]. In addition, the defect morphology of Sample No. 24 tends to be irregular in shape compared with that of Sample No. 12 (Fig. 8). SEM fractographs of fracture surfaces also show that there are many irregular defects on Sample No. 24 (Fig. 13a), while relatively fewer spherical pores with defect size < 50 μm are observed on Sample No. 12 (Fig. 13d), which agree with the aforementioned results. Moreover, a ductile fracture mode with typical submicron-sized dimples is more likely to occur for Sample No. 12 (Figs. 13e, 14f), while more brittle fracture features with pulling out of “melt pools” are more likely to occur for Sample No. 24 (Figs. 13b, 14c). The results imply that improving the density of SLM-processed parts at relatively low E0* will lead to more submicron-sized dimples; thus, ductility can be significantly enhanced. As shown in Fig. 10, the average cell sizes of Sample No. 24 and Sample No. 12 are 0.32 μm and 0.43 μm, respectively. The YS values for Sample No. 24 and Sample No. 12 calculated using Eq. (8) are 632 MPa and 570 MPa, respectively. The latter agrees reasonably with the experiment result (584 MPa). However, the former significantly differs from the experiment result (549 MPa), indicating that pore number and defect morphology are also of great influence to the accuracy of estimation when Eq. (8) is utilized to estimate yield strength of a SLM-manufactured part. Large irregular defects in Sample No. 24 lead to earlier necking, thereby sacrificing both strength and ductility. The results illustrate that mechanical properties of SLM-manufactured parts can be enhanced via a low E0* (i.e., E0* = 2.33). Further eliminating porosity at a much lower E0* is a major challenge to improve the material properties.

Fig. 12
figure 12

Tensile properties of SLM-processed 316L SS: a engineering tensile stress–strain curves; b true stress–strain curves; c representative normalized work hardening rate curves as a function of true strain in the two process parameters

Fig. 13
figure 13

SEM fractographs of the as-fabricated tensile specimens at different values of energy density: ac Sample No. 24 (q* = 79.54 and E0* = 1.49) with unmelted spherical powder granules marked by blue arrows; df Sample No. 12 (q* = 45.52 and E0* = 2.33)

Fig. 14
figure 14

Summary of ultimate tensile strength versus elongation to failure for 316L SS from our work and previous studies (the mechanical performance range of conventional wrought 316L SS is shown in the block region; HFA—hot finished + annealed; CFA—cold finished + annealed; CF—cold finished)

Finally, it is noteworthy that very high UTS values (> 700 MPa) are obtained by the two sets of selected process parameters. Figure 14 depicts the tensile test results for SLM-manufactured 316L SS including ours and that of conventionally made steel. The mechanical properties of the as-fabricated samples by Fraunhofer [10] are not included because the spot diameter of the machine is 207 μm, which is substantially greater than that of the general SLM machine. As shown in Fig. 14, the SLM-manufactured 316L SS parts at a low E0* (i.e., E0* = 2.33) in this study generally show a higher strength and elongation to failure than conventionally manufactured parts. The UTS at E0* = 2.33 surpasses many reported values in the literature, and a better εf is also obtained. Increasing E0* at a relatively low level (e.g., from E0* = 1.49 to E0* = 2.33) will significantly improve the YS, UTS, and εf (Fig. 12a). Although there are many irregular defects in Sample No. 24, a very high UTS (708 MPa) is also achieved. The above results strongly suggest that utilizing a combination of process parameters that result in relatively low E0* is very helpful to mechanical enhancement.

4 Conclusions

By deliberately designing a group of dimensionless variables and a normalized process map, a comprehensive investigation on the resulting defects, melt pool shapes, and microstructures of SLM-processed 316L SS parts was carried out. Excellent tensile properties of the built samples were achieved without heat treatment. It was confirmed that the refined intragranular cellular structure was responsible for the excellent properties although other strengthening mechanisms remain to be revealed. The following conclusions can be drawn:

  1. 1.

    The density of the parts at high power is generally greater than those at low power and medium power when E0* is constant. The highest density range is associated with E0* and q* values of approximately 1.83–2.33 and 45.52–79.54, respectively.

  2. 2.

    The maximum temperature rising in the SLM process plays an important role in the formation of large defects. The number of large defects decreases with an increasing E0* but increases if E0* exceeds 2.33, corresponding to the variation in density. The morphology of the defect is nearly spherical when high-density (≥ 99%) parts are achieved.

  3. 3.

    The cooling rate tends to monotonously decrease with increasing E0* and ranges in the order of 105–107 K/s, while the primary dendrite spacing monotonously increases from ~ 0.35 to ~ 1.5 μm when E0* increases from 1.49 to 5.25.

  4. 4.

    Excellent properties, namely YS = 584 MPa, UTS = 773 MPa, and εf = 46%, are achieved at a relatively low E0* with a relative density of ~ 99%, cell size of ~ 0.43 μm, and without heat treatment, which greatly surpass those of conventionally fabricated parts.