1. Introduction
Among the several process characterizing additive manufacturing (AM), the Laser Powder Bed Fusion (LPBF) process is widely used for mechanical component manufacturing. In this process, the quality of the finished part is directly linked to a high number of parameters [
1]. The most common parameters used to optimize the process are the hatching distance, the scanning speed, and the laser power. All these parameters influence the volumetric energy density and then the mechanical properties and the surface roughness of the components [
1]. Energy density (ED) and scanning strategy influence the temperature profile during the building process and consequently the part hardness. For the specific case of Inconel
TM 718, the heating and cooling processes during the LPBF deposition increase the hardness of AM more than conventional processes [
2]. If process parameter setting is not optimized, some typical defects are generated in the part. For example, a low hatch distance results in porosities, and a low laser power associated with a high scanning speed and large layer thickness usually causes the so-called balling phenomenon [
1].
LPBF additive manufacture of aerospace components is applied using several nickel alloys, most commonly with Inconel
TM 625 and 718. Nickel alloys are often selected because of their capability to withstand extreme temperatures while maintaining good mechanical strength. A further pro of these materials is a resistance to creep and corrosive environments. LPBF is now a consolidated technology for nickel alloys obtained by means of LPBF, as they are operative in flight [
3], while many others will be developed for future use.
A typical example of an aerospace component under development is the propellant injector of liquid rocket engines. For these kinds of components, Inconel
TM 718 is often the best choice due to its capability to guarantee the best mechanical performances at high temperature, e.g., [
2,
4,
5,
6]. The complex geometry of injectors is suited for AM process. AM can greatly reduce part count and joints associated with multi-element injectors, as they may be composed of very few AM parts. AM can present some specific disadvantages for injector fabrication, such as low resolution in terms of mechanical tolerances and excessive surface roughness. Research progress is gradually alleviating these weaknesses. In [
7], an interesting overview of Inconel
TM 718 application in aerospace component manufacturing is presented.
Another current disadvantage in injector manufacture, when using AM processes based on powder feedstock, is the necessity to remove residual powder from internal passages of limited access. Removing all the powder prior to any heat treatment (even stress relief) is necessary because trapped powder be sintered, making it difficult or impossible to remove later.
A problem related to the design and use of components obtained by means of AM is that the estimation of structural behavior as a material mechanical property is strongly dependent on the AM process [
8,
9]. Traditional mechanical characterization can provide unreliable information as, for example, specimen scale [
10] and building direction [
3,
10] can affect properties as process parameters do. A simple, low cost, and common estimation of mechanical properties is obtained by means of hardness measurement.
Known as an extrinsic material property, hardness is defined as a measure of the material resistance to plastic deformation when penetrated by an indenter tool [
6,
11,
12]. The hardness test is non-destructive (or semi-destructive) and hardness measure results tend to be linearly proportional with mechanical properties such as Young’s modulus, tensile strength and yield strength [
13,
14].
In [
15], the surface hardness measurements are presented related to conventional fabrication processes [
13]. The corresponding procedures are described in Standard EN ISO 6507 [
16], while for additive manufacturing a standard is not yet available. In [
17], a procedure to measure the material properties of AM materials is proposed. For reliable hardness measurements, the surface finish state is critical. A flat surface is indicated, and, for accurate penetration, the surface roughness must be minimized according to EN ISO 6507. Consequently, the applicability of EN ISO 6507 for testing AM materials is linked to the requirements to meet surface finish specification.
Keist and Palmer [
18] demonstrated that the Vickers test hardness procedure can be applied for AM LPBF processed materials as Ti-6Al-4V alloys, but it results in large data scattering due to different phase orientation induced by the AM process.
As already stated, surfaces obtained by means of AM present an irregular and rough aspect, and surface roughness changes according to the investigated surface (side or front with respect to the growth direction). In addition to this, the contour layer is not representative of the bulk material mechanical properties because different process parameters are typically used for the contour and the body. This remarkable difference could cause porosities between contour and bulk areas. These porosities make indentation testing difficult and measures unreliable. Polishing surfaces allow for the removal of this contour layer and reduces its influence on the hardness measurement.
Although technical literature covers different applications of AM applications, a systematic analysis on the applicability of hardness measurements procedures to obtain mechanical properties for AM parts is lacking. In particular, the causes of hardness measure scattering for AM parts and then of the reliability of hardness when applied to AM component are missing.
Starting from a preliminary methodological background related to hardness measurements, the present research aims to present the experimental investigation on the influence of deposition parameters on mechanical hardness structural property of InconelTM 718. A further aim of the investigation is to determine the optimal hardness testing procedure for Inconel AM parts. The investigation is extended to as-built and heat-treated samples.
2. Methodological Background
The historical evolution of hardness measurement definitions and techniques is well documented in literature, among the others in [
19].
Meyer [
15] gives a technical definition of hardness based on the projected area of the impression. The average pressure is assumed as the measure of hardness, referred to as the Meyer hardness. The Meyer test is less sensitive to the applied load [
20]. Meyer also proposed an empirical relation between the applied load and the size of the indentation (Equation (1)), called Meyer’s law [
15], whose range of validity is related to material properties:
where
d is the indenter diameter (mm),
is a material constant related to strain hardening of metal, and
k is a material constant expressing the resistance of metal to penetration.
Mayer’s law is implemented in the Vickers hardness test which measures the diagonal of the square plastic indentation obtained by a diamond pyramid indenter pressed against the investigated surface with a given load
L, after elastic recovery [
20]. Rockwell [
21] and Brinell [
22] hardness tests are characterized by a conical and a spheroidal indenter, respectively. These testing procedures usually require adapting either the load or the indenter with the hardness scale. Consequently, measurements obtained on the same specimens with different procedures cannot be directly compared. On the other hand, the impressions made by the pyramid indenter are geometrically similar and independent of load [
18,
19].
The correlation between hardness and tensile mechanical properties was investigated by many researchers [
14,
18,
23]. In particular, the UTS and yield strength σ
y and the hardness
H referred to Vickers Standard are generally related by linear relations such as Equations (2) and (3) in the empirical model of Cahoon [
24]:
where
H is the measured hardness and
n the strain hardening exponent. This model fits the results of ferritic steels for temperature ranges from room temperature up to 400 °C.
The Pavlina empirical model [
14] is obtained from diamond pyramid hardness tests run at room temperature on a wide range of steels. The proposed least square linear data regression gives the following empirical Equations (4) and (5) for yield strength s
y and
UTS, respectively:
where s
y is in (MPa), and hardness HV is measured in Vickers scale.
Another very simple empirical relation is reported in Equation (6) and it is widely diffused in literature [
25] for materials which do not experience a work-hardening behavior:
In the ASM handbook [
19], the same relation is provided between HV and UTS for carbon and alloy steels with different pre-treatments.
Krishna [
23] proposes similar linear relations between HV, UTS, and s
y for copper alloys, while Keist [
18] proposes them for AM titanium alloys. The authors discuss the variability of micro-hardness measurements and present a procedure for hardness data processing to obtain tensile properties despite the measuring scatter. The scattering of data is strongly related to the AM processing and the relation between process parameters and micro-hardness measurements is discussed for AM Ti alloys. Again, an empirical linear relationship between micro-hardness and s
y and UTS is observed, suggesting that the relation between mechanical properties and HV is linear and, according to the selected material, the corresponding coefficients are calibrated. Furthermore, the results of [
18] show that the linear model also fits AM specimen behavior.
Hardness measurement consist in generating and measuring a plastic deformation on a surface. The reliability of the measure is related to continuity and homogeneity of the deformed material. Continuity and homogeneity of AM material can be assumed according to the scale of observation. Then, the reliability of hardness measurement requires to be discussed.
4. Results
4.1. Preliminary Measuring Load Assessment
Preliminary hardness testing results are plotted in
Figure 8. In this plot, the hardnesses measured in
XZ/XZ and
XY planes are reported for the same specimens A1. In the same plot, the data scattering, i.e., standard deviation for hardness measurements, is reported. It can be observed that, by increasing the load, the scattering decreases. HV20 has been identified as the optimal method for hardness properties when optimizing parameter are low standard deviation in hardness measurements on both surfaces and a good compromise applied load which is between the lowest HV5 and the highest HV120 [
49]. A similar result is presented in [
18] for AM Ti alloy, where a HV10 measurement hardness was identified as the best for the alloy. This result matches with [
50] where an HRV10 and HRV5 test were performed. In the same
Figure 8, the indentation depth is reported for measurements in the different planes.
The results presented in
Figure 8 show that A1 specimens exhibit a non-asymptotic indentation size effect (ISE) [
51]: After the minimum hardness measurement (HV5), the HV measure changes with indentation load without a recognizable trend, both in the
XZ/YZ and the
XY planes. In the literature reports for general micro- and nano-hardness testing, the ISE effect is present and is often a dominant aspect of the study [
48,
52,
53]. Here ISE is evident for lower loads while, for higher loads, a “Reverse Indentation Size Effect” (RISE) is recorded.
HV20 has been selected as the reference hardness value for the present study because it can be considered the maximum admissible value before the ISE effect appears. Furthermore, by analysing the indentation depth of the melted pool in specimen A1 (
Figure 8), which is different respect to the nominal powder layer thickness (
Table 6), HV20 is the maximum acceptable value in order to indent maximum two layers of the specimen.The unknown interaction between layers and the indentation depth could be the reason for the apparent increase in the hardness with the increase in the applied load. The highest value of energy density is achieved in specimens A1. Since the melting pool depth, with respect to the
Z building direction, is related to the energy density [
51], specimens A1 present the highest melting pool depth. For the aforementioned reasons, analysing specimens A1 provide margins to ensure that two is the maximum numbers of analysed layers. By increasing the load (HV50, HV100, and HV120), the indentation depth increases, as presented in
Figure 8. Additionally, HV20 indentation impression reduces the number of porosities because of the minimum indentation depth and thus minimum indentation areas leading to a more reliable measurement.
Further analysis will be dedicated to the investigation of both ISE and the layers’ interaction with the load.
4.2. Density Results
The density ranges from 96% to 100.08% with respect to the theoretical Inconel
TM 718 density (8.193 g/cm
3). The relative density values higher than 100% come from calculation artifacts, that is the ratio between the volume and the mass. In
Figure 9, the plot of the relative density of the different specimens is reported.
4.3. Hardness Results
In
Figure 10 and in
Table 8, the hardness data of the whole set of specimens as built (that is to say, before the heat treatment) are reported for both the
XY and
YZ/XZ planes. The values represent the average of the five measures evaluated on every specimen for the
XY surface and the perpendicular ones (
XZ/XY planes). The average measurements are reported related to the position on the platform, and a colored palette is applied.
In the XY plane, the average measured hardness ranges from HV20 = 279 (specimens C3) to HV20 = 304 (specimen D1). In the vertical direction (XZ or YZ plane), the measured average hardness range is larger and ranges from HV20 = 288 (specimen A7) to HV20 = 402 (specimen A5).
The specimens can be defined as isotropic if the hardness value measured on one surface is included in the standard deviation range of the other. Only the specimens A7 (HV20 = 286~288), B2 (HV20 = 283~291), and D1 (HV20 = 304~302) can be considered isotropic. No one specimen of the quadrant C can be considered isotropic.
Specimens having the same process parameters (that is, named with the same number but different letter, according to
Table 6 and
Figure 2) are compared to check for hardness repeatability. Comparable hardness is found for specimens: A2 and C2 (only in the
XY plane); A3 and C3; A4, B4, and C4; C5 and D5; A6 and C6; B7 and C7.
In
Figure 11 and in
Table 9 the corresponding results are reported for the heat-treated specimens. Heat-treated specimen hardness HV20 is generally more elevated than as-built specimens.
In the XY plane, the average measured hardness ranges from HV20 = 467 (specimen C6) to HV20 = 487 (specimen B3). Similarly, to the as-built specimens, the heat-treated specimens have similar hardness in the XY plane, regardless of the process parameters and quadrant, while the hardness in the XZ or YZ plane is noticeably scattered, as it ranges from HV20 = 481 (specimen D4) to HV20 = 541 (specimen A4).
The influence of heat treatment on the material isotropy on the build platform is more evident: 15 specimens (A7, A6, A3; B1, B2, B3, B4, B5; C3, C4, C7; D1, D4, D6, D7) can be considered isotropic and all the quadrants have at least three isotropic samples.
Specimens having the same process parameters (that is, named with the same number but different letter, according to
Table 6 and
Figure 3) are compared in order to check for hardness repeatability. Comparable hardness is found for specimens: A1 and C1; A2 and C2; A3, B3, and C3; C4 and D4; A5, C5 and D5; A6, C6, and D6; A7, C7, and D7.
4.4. Micrography Results
The microstructures of the LPBF B2 as-built and heat-treated specimens are shown in
Figure 12 and
Figure 13.
XZ/YZ plane and
XY plane differences can be clearly identified. Furthermore, as expected, the heat treatment plays a critical role in the microstructural arrangement of the material [
53,
54,
55].
The as-built
XZ/YZ image (
Figure 12a) shows melting pools stratification and columnar grains with a main growing direction parallel to the
Z building direction. This is due to the process thermal gradient from the bottom of the specimen to the end top surface [
56]. After heat treatment (
Figure 12b), the melting pools vanish and columnar grains, parallel to the building direction, constitute most of the microstructural arrangement. The as-built
XY image (
Figure 13a) shows remarkable laser tracks, which become less relevant after the heat treatment (
Figure 13b), proving that a structural rearrangement occurs also on the
XY plane, perpendicular to the building direction.
According to [
57], the strength and hardness in an AM steel depend on the fineness of the solidification structure and on their chemical composition. All literature agrees in observing higher hardness in the presence of refined dendritic columns; the after treatment refined microstructure confirms the higher hardness measurements obtained in heat-treated specimens, and the lower hardness measurement is obtained in the
XY plane rather than in the
XZ/YZ plane for both as-built and heat-treated specimens.
5. Discussion
In
Figure 14 the values of HV20 vs. energy density
ED of the as-built and heat-treated specimens for the different quadrants (letters A, B, C, and D) and for the different planes are reported for
XY and
XZ/YZ measurements.
Figure 14 reports the data presented in
Figure 10 and
Figure 11 and in
Table 8 and
Table 9 highlighting the hardness measure vs. the energy density. This plot points out how the energy density seems to not affect the scattering of the hardness measurements on the
XZ/YZ plane in respect to the
XY plane. It shows that the variation of energy density cannot be observed by hardness measurements performed on the
XY deposition plane, while in the
XZ/YZ perpendicular planes, the measurements are scattered and do not show a repeatable trend for the different set of data. This evidence is confirmed by the fact that the data measured in the four quadrants of the printing platform show different trends.
The different hardness behavior respect to the increasing of the energy density in the two planes can be explained as follows.
In the
XY plane (that is, parallel to the printing platform), the hatch distance (0.105 mm) and the overlapping factor (0.7) are constant for all specimens (see
Table 6). The DOE energy density variation is obtained by modifying the power and the scanning speed of the laser, not by changing the hatch distance. The indentation on this surface is perpendicular to melting pools, which are oriented in the same way with respect to indentation direction on the whole plane. This means that the deformation behavior of all measured points in this plane is similar and the hardness variation, in respect to the energy density, is small. This observation can also explain why the HV20 hardness shows the lowest scattering and the corresponding load was selected to indent a maximum number of layers equal to 2. It is possible to state that the
XY plane hardness is not affected by the modification of power and scanning speed. A similar result is presented in [
29].
In the
XZ/YZ planes, perpendicular to the printing platform, due to scanning strategy, the indentation direction can be perpendicular, parallel, or in any way angled with respect to the laser moving direction (
Figure 15). This means that when the instrument indents the surface, it can deform volumes of material with a different level of homogeneity, due to the presence of melting pool boundaries, which can be more or less dense in the direction of the indentation. The
ZX/ZY plane indentation, perpendicular to the plane represented in
Figure 15, deforms an area that can involve a laser track, especially if the indentation site is located in a segment where there is a high angled scanning strategy. This can cause a hardness of higher sensitivity with respect to a different value of energy density. According to this observation, the phenomena (ISE and RISE) observed in
Section 4.1 and in
Figure 8 can be explained.
Future research will include the position of the specimens on the printing platform in the process parameters in DOE planning.
The literature reports that for the AM material, differently from the tensile [
56], fatigue crack growth [
58], and low cycle fatigue [
56] properties, the hardness is isotropic [
37,
39,
41]. This is not so in our case, as the hardness changes significantly depending on which plane it is measured on. However, it is worth noticing that the minimum values of the scattered data of the
XZ/
YZ plane are comparable with the hardness in the
XY plane. Hence, the hardness data in the
XY plane can be considered a conservative value for the whole specimens. Moreover, also considering
Figure 10a, it is possible to state that the hardness data in the
XY plane do not change appreciably whether the specimens are positioned on the building platform. As already said, this is not the case of the hardness in the
XZ/YZ plane (
Figure 10b). In particular, poor repeatability is also noticed for the specimens positioned at the center of the building platform and having the same process parameters (i.e., specimens A3, B3, C3, D3). There, the laser beam acts more perpendicularly and thus, at least in theory, the coded process parameters should be more consistent to the real ones.
In the same
Figure 14, with respect to the as-built specimens, the heat-treated specimens present a general higher hardness value in both the
XY and
XZ/
YZ planes. This is a common properties transformation for Inconel
TM 718 post heat treatment [
46,
47]. The maximum value of hardness for as-built specimens is HV20 = 304 and HV20 = 402, respectively, for the
XY plane and the
XZ/YZ plane. For the heat-treated specimens, these values are HV20 = 487 and HV20 = 541, respectively. Moreover, the heat treatment increased the isotropy of the hardness. The hardness difference between the
XY and the
XZ/YZ planes is HV20 = 99 for the as-built specimens and HV20 = 54 for the heat-treated specimens. Undoubtedly, the increased anisotropy is a further positive effect of the heat treatment. Heat treatment also attenuate the dispersion of the hardness in the
XZ/YZ plane. The percentage variation between the maximum and the minimum value of the as-built specimens, with respect to the minimum value, is 40% before the heat treatment and reduces to 16% after it.
6. Conclusions
In the present paper an experimental analysis is presented investigating the effects of AM process parameters on the hardness properties on InconelTM 718. The analysis is extended comparing as-built and heat-treated specimens.
A preliminary experimental investigation pointed out that, for the investigated range of printing parameter variation, the HV20 procedure for hardness measurement is the one that results in smaller scattering.
For as-built specimens, it results that the energy density modifies hardness properties of InconelTM 718 with a remarkable effect to the XZ/YZ plane and a negligible effect on the XY plane. The orientation of the printing direction with respect to indentation direction can be responsible of hardness scattering phenomena. This hypothesis can justify the HV20 lower scattering of data.
Most of the as-built specimens show a strong anisotropy for in-plane and growth directions. As-built specimens present a general increase of hardness with respect to increasing energy density. Heat-treated specimens present a general higher hardness value with respect to as-built specimens, according to literature.
A better homogeneity of hardness is evident in heat-treated specimens, thus pointing out that, to achieve a better isotopy behavior, it is necessary to introduce a strong microstructure modification via a heat treatment. In addition, to a better isotropy behavior, the heat treatment process introduces measurement repeatability. The difference between hardness value respect to the energy density is drastically reduced by the heat treatment.
In the present work, the influence on hardness of the distance from the center of the platform was not considered. In the considered DOE, for each platform quadrant, specimens with different distance from the center were obtained with different energy density. In addition, the influence of building height on hardness was not investigated. In the literature this influence is considered for as-built larger height specimens and heat treatment tends to reduce this influence. Lastly, the measuring procedure was according to a standard defined for bulk materials, as no standards are available for AM materials.
Future development of the present research will be dedicated to analyzing the indentation size effect (ISE) on the same DOE. Dedicated DOEs will be designed for investigating the influence of the distance from the center of the platform and of the printing height. Other materials and alloys are also under scouting.