1. Introduction
Additive manufacturing (AM) continues to emerge and progress in many fields as a powerful tool to meet a multitude of applications [
1,
2]. The research performed in this study can be applied to numerous industries and applications and specifically supports investigating the use of AM to fabricate scaled structural ship models for hydro-elastic model testing [
3]. Typically, hydro-elastic models are used to evaluate design loads for ships [
4,
5]. The model’s structural stiffness in hydro-elastic model testing needs to meet the scaled structural stiffness of the full-scale ship [
3,
6]. The scaling is performed in accordance with Equation (1).
where
Imodel is the area moment of inertia for the beam,
Iship is the area moment of inertia for the full-scale ship cross-section around the axis of interest,
E is the material Young’s modulus of elasticity for the model or the full-scale ship, and
λ is the model scale factor. Because of the stiffness scaling, the scaled models need to have relatively large overall dimensions and very narrow shell thickness. An example of these dimensions would be for a model with overall dimensions (in one or more directions) of 200 mm and a shell thickness of less than 1 mm. Additionally, these models include small internal structural details with relatively small dimensions and thicknesses.
Figure 1 shows a typical simplified cross-section of a model with small structural details. The requirements for a model with very thin shell thickness and small structural details are not practically achievable using traditional manufacturing methods at a reasonable cost. However, advancements in AM technology in recent years have opened the way to practically fabricating these models with reasonable resources [
3].
Figure 2 shows the AM fabricated ship model for the same cross-section shown in
Figure 1.
To achieve the desired accurate structural and material properties of the AM fabricated model, a thorough investigation of printed material properties was warranted. Powder bed fusion (PBF) is one of the most prolific methods used to manufacture end use parts [
7,
8]. Within PBF, Selective Laser Melting (SLM) is a common method to fuse metal and Selective Laser Sintering (SLS) is used to fuse (sinter) polymers. Material property data based on thickness and orientation could allow the tuning of printed PBF parts.
Polyamide 12 (PA12) was selected for this research as it remains one of the most prolific materials used for SLS parts [
8,
9,
10]. PA12 continues to be widely used for SLS due to its relatively low cost, powder reuse ratio, low water absorption, and large sintering window [
11,
12]. A typical layer height for SLS with neat PA12 is 0.1 mm, which results in minimum wall thicknesses typically around 0.5–0.8 mm [
13,
14]. Jaksch et al. [
14], Sindinger et al. [
13], and Tasch et al. [
15] found that SLS PA12 tensile properties such as modulus of elasticity, ultimate tensile strength, and yield at break can vary dramatically between thin wall (<1 mm) and standard thicknesses (~2–4 mm). Jaksch’s and Sindinger’s teams also found that print orientation can compound the anisotropy of thin-walled parts manufactured via SLS. These sources of anisotropy can also combine with material property variations due to laser energy density (power, speed, and pattern), temperatures (ambient, top layer, and build plate), and build orientation [
16,
17]. All these factors must be considered when designing experiments to test individual effects.
A numerical model for a thin wall structure, such as a ship model, can aid in predicting full scale structural performance. For a typical steel ship modeling, the material is assumed to be isotropic and a single material property can be used in all directions. However, isotropy for AM parts cannot be assumed [
13,
14]. Fully anisotropic models may be required for numerical simulation; however, orthotropic anisotropy modeling warrants investigation based on the substantial simplification of creating, verifying, and using such a model. The characterization and calculation of the degree of anisotropy using techniques established by Alcisto [
18] can help quantify the necessity of anisotropic numerical models. It is hypothesized that orthotropic modeling may be a useful method of modeling structures such as a ship model that have most structural elements normal to one another (
Figure 1 and
Figure 2). To properly scale the stiffness of a ship model, the wall thickness must be relatively thin; and it is also hypothesized that an SLS orthotropic model will depend on the thickness of the structural components. A numerical model for a thin wall structure, such as a ship model, requires all tensile properties including Poisson’s ratio. However, a literature review of published work revealed a lack of Poisson’s ratio data for 3D printed material in general. This research is focused on the two hypotheses discussed above and the feasibility of gathering orthotopic material property data including Poisson’s ratio to be used in thin wall PA12 SLS orthotropic models.
Following the Introduction section in this paper, the Materials and Methods section covers the design of the experiments, including the parameters for the specimens and the equipment used for printing and testing. The next section is Results, which covers all the data collected from tensile testing and fractography results as well as the methods used to analyze the data. A separate Discussion section follows to present the implications of the results. Finally, a Conclusion section covers the conclusions based on the data and the discussion presented in the prior sections.
2. Materials and Methods
2.1. Design of Experiments
A design of experiments (DOEs) was developed to analyze thick and thin SLS orthotropic tensile characteristics. ASTM-D638 tensile specimens were selected based on polymer tensile characterization and the ability to manufacture large number of specimens in a single build. In total, 144 specimens were manufactured with half of the specimens printed at a standard 3.2 mm thickness and half printed at a 0.8 mm thickness (
Figure 3). This resulted in each orthotropic orientation having 12 standard thickness and 12 thin specimens. All specimens were manufactured in a single print (
Figure 4) to minimize slight differences between prints due to the recycled powder thermal history and ambient factors. Some research has also found noticeable differences in tensile properties based on build plate location [
15,
19] and so specimens were placed throughout the middle 60% of the build area to minimize the print area edge effects and anisotropy due to the build location (
Figure 4). Lastly, a naming convention was created to easily identify the specimens based on the print and tensile load orientation. The specimen identifier consists of two letters where the first letter is the pull direction with respect to the print plane and the second letter is the normal direction of the specimen’s long thin edge with respect to the print plane (
Figure 5)
2.2. Sample Manufacturing
A Formlabs (Formlabs, Somerville, MA, USA) Fuse 1 SLS printer with Formlabs neat PA12 powder was used to print all the specimens. Autodesk (Autodesk, San Francisco, CA, USA) Netfabb AM software(version 2024) tool was used to arrange and orientate all the specimens within the build area and Formlabs PreForm (version 3.29) slicing software was used to slice all the 3D models. Changes in energy density based on the hatch pattern and laser power can affect the mechanical properties of SLS parts [
20] and so a constant recoater direction, layer height, hatch pattern, laser speed, laser power, and temperature profile were used throughout the print to isolate changes based on specimen orientation and thickness.
Formlabs PA12 powder [
21] is specifically developed for the Fuse Series printers and most powder properties remain proprietary. Mixing unsintered powder from previous SLS prints (recycled powder) with fresh unused powder is a common practice in SLS printing to decrease material waste throughout the manufacturing process. The percentage of fresh powder to total powder is called the refresh ratio. Refresh ratios of 15–50% are common when testing the mechanical properties of SLS prints [
22,
23,
24]. However, the refresh ratio will affect the material crystal structure, powder coalescence, and part porosity and must be considered when comparing parts and material properties [
25]. Recycled powder with a 30% refresh ratio was used in this study as this is the manufacture’s recommended ratio when printing with the Fuse 1 [
26,
27].
The Fuse 1 operates with an air chamber environment and internal chamber temperature of up to 200 °C with a 10 W laser (200 microns spot size) (Formlabs, 2024). PreForm auto sets the hatch spacing and laser power and uses a patent-pending “Surface Armor” technology to adjust the scan speed based on a cross-section slice to maintain consistent mechanical properties. To achieve a standard comparison of print orientations, this study used a standard x direction hatch pattern without perimeters (
Figure 6) and a 0.110 mm layer height for all the prints. The hatch pattern in
Figure 6 is expanded to show the orientation and shape and is not representative of the spacing or total number of laser passes. The specimen spacing in
Figure 6 is also expanded to show the hatch detail of each specimen and is not representative of the actual print layout. See
Figure 4 for the specimen spacing on the build plate.
2.3. Tensile Tests
D638-22 Type V uniaxial tensile test standards were used for all the tensile test procedures with a crosshead rate of 1 mm/sec. The specimens were placed in a 73.4 ± 3.6 °F; 50 ± 10% R.H. laboratory environment for a minimum of 40 h and measured for width and thickness at three distinct cross-sectional planes prior to test initiation in accordance with Procedure A of ASTM D618.
Instron (Instron, Norwood, MA, USA) Model 4466 screw-driven test frame and a Model 2518-806 load cell possessing a verified tensile range of 1.00 to 200lbf provided the means to apply and resolve force, respectively. Each specimen grip section was reinforced with one layer of 120 grit Norton Metalite (Saint-Gobain Industries, Staverton, UK) abrasive paper prior to installation. Additionally, each specimen gauge section was painted to facilitate the acquisition of longitudinal deformation measurements through digital image correlation. The specimen was subsequently centered and restrained within serrated parallel face grips at a pressure sufficient to prevent slippage during force application. Once mounted, a transverse deformation measurement device was centered and frictionally retained across the width of the gauge section. Longitudinal deformation measurements were acquired with a non-contacting digital imaging correlation system consisting of an Imetrum (Imetrum Limited, Bristol, UK) Model SC-2 processor and an Allied Vision (Allied Vision, Thuringia, Germany) Mako Model G-192B PoE camera. Transverse deformation was acquired with an MTS (Illinois Tool Works, Glenview, IL, USA) Model 632.18B-20 measurement device possessing a variable gauge length. Digital data were acquired at a target frequency of 10 Hz. with Imetrum Video Gauge Version 5.4.8 (Build 6128) software.
2.4. Data Collection and Reporting
While 12 specimens at each orientation and thickness were printed, load, axial displacement, and transverse displacement were collected for a minimum of three specimens of each orientation and thickness. Additional specimens were used as needed. The following values were analyzed: elastic modulus (E
A), 0.2% yield strength (σ
y), ultimate tensile strength (UTS), strain at failure (ε
f), Poisson’s ratio (ν), and degree of anisotropy (DoA). The standard deviation was calculated based on the population using Equation (2) and reported on the material property figures as error bars.
where x represents the individual calculated values of each specimen,
is the mean of the values, and n is the number samples.
2.5. Fracture Characterization
Microscopy of the fractured tensile surfaces was conducted to further understand the influence of thickness and orientation on the SLS parts. A TESCAN (Brno, Czech Republic) MIRA 3 Scanning Electron Microscope (SEM) was used to capture all the images. The PA12 fracture surfaces were sputter coated with a thin (~5 nm) coating of gold to support a conductive pathway. All the SEM images were obtained while operating at 5 keV in the secondary electron mode and used to analyze the surface morphology, particle coalescence, voids, and edge effects.
4. Discussion
This study reasonably isolated and analyzed two anisotropic drivers: thickness and print orientation. The standard deviation for all the sets of samples was less than 10% for all the reported properties at each orientation and thickness except for strain at failure. This indicates that while some variability may exist based on the location of the sample in the build area during the print, overall, the DOE did mitigate the impact of anisotropy due to the build location. Thus, the variability of the material properties is mostly due to the print orientation or thickness. The order of sensitivity of the material properties to thickness from most sensitive to least sensitive is as follows: UTS, εf, σy, EA, and ν. The order of sensitivity of the material properties to print orientation from the most sensitive to the least sensitive is εf, UTS, σy, EA, and ν. UTS and εf, are the only two properties that do not have the same sensitivity order between the thickness and print orientation. However, the sensitivity of UTS and εf, to thickness is nearly the same (within 1.5%). It is interesting to note that anisotropy due to both orientation and thickness seems to be more apparent for the material properties well within the plastic region (UTS and εf).
4.1. Sensitivity of Properties to Thickness (Thickness Anisotropy)
The standard specimens had increased material properties values compared to the thin specimens across all the material properties evaluated, which is clearly supported by the fractography images (
Figure 13,
Figure 14,
Figure 15 and
Figure 16). The thin sample images (
Figure 15 and
Figure 16) not only show an increased amount of internal porosity, but also a large amount of incomplete particle sintering along the edges. These data coincide with the findings of Al-Maharma et al. [
28] and with ε
f quantitative data (average thin ε
f 29% less than average ε
f for standard samples). The under-sintered edge effects observed in the SEM fractography images are not only dimensionally larger for the thin specimens, but also appear to encompass a much higher percentage of the cross-sectional area. This greatly influences the strength and stiffness of the material. This edge effect was particularly noticeable between the standard (
Figure 14) and thin (
Figure 16) specimens in the XZ and YZ orientation, which helps explain the drastic decrease in E
A, σ
y, UTS, and ε
f, for these two orientations. This sintering difference contributed to the thin specimens being more brittle than the standard specimens (
Figure 7), which led to the large DoA
thickness for these properties. A constant scan pattern for all the thicknesses appears to isolate the effects due to thickness when compared to Rodriguez et al. [
16] and Sindinger et al. [
13], who varied the laser and hatch settings based on the specimen thickness. This comparison also highlights the benefit of customizing laser pattern and energy density to mitigate thickness anisotropy, which coincides with the results of Jaksch et al. [
14].
Interestingly, in contrast to XZ and YZ, strain at failure had less difference for the vertical prints (ZX and ZY orientations) between the standard and thin specimens. Both the standard and thin samples exhibit a relatively brittle fracture when printed vertically (
Figure 7 and
Figure 11), which led to the lower maximum ε
f DoA
thickness. This is likely due to the difference in sintering between the layers as opposed to between or along the laser movement (hatch) on a single layer. Han et al. [
7] and Hejmady et al. [
32] noted similar findings and this warrants potential future work to investigate post-sintering heat treatments to fully fuse the layers. Heat-treating metal powder bed fusion parts has been relatively widely studied [
33,
34,
35]. However, the full benefits of heat-treating polymer-based powder bed fusion parts is relatively under-investigated [
36]. Based on the thin specimen results of the present study, post-sintering treatments may be beneficial in decreasing thickness anisotropy and warrant future investigation.
4.2. Sensitivity of Properties to Print Orientation (Print Orientation Anisotropy)
The vertically printed specimens (ZX and ZY orientations) exhibited a decrease in values across all the material properties except ν, which had relatively constant values for all orientations (DoA_max
standard = 6.5% and DoA_max
thin = 13.3%). Poisson’s ratio is a parameter that is not often evaluated but critical to building anisotropic numerical models. These sensitivities and data are crucial to analyzing the importance of building an orthotropic model as opposed to an isotropic model for applications such as scaled structural ship models [
3]. If there is not a significant D
oA
orientation, it is likely beneficial to use a more simplistic isotropic model. However, if D
oA
orientation is large, an anisotropic model is likely required to accurately predict the model and full-scale performance. Uniquely to this study, ν appears to be nearly independent of the print orientation when the hatch pattern is held constant across all the orientations. Poisson’s ratio is the only material property studied that is simultaneously influenced by strain in two orthotropic orientations (axial and transverse strain). Future work should be done to investigate if this is due to the simultaneous interactions of the axial and transverse anisotropic strains, which may essentially mitigate the overall orthotropic effects, ν. It is also important to note that it appears this is also influenced by ν being measured well within the elastic range of the material as opposed to the other properties that were measured well within the plastic range of the material. This should also be studied with E
A in mind which was also less impacted by the print orientation. However, E
A could also potentially be influenced by the fact that it is simultaneously affected by both stress and strain, the key difference between E
A and ν being that the factors affecting E
A act in the same axial direction while the factors affecting ν are affected by D
oA
orientation.
Strain at failure was the most influenced by orientation with a drastic decrease in ε
f for both the standard and thin vertical prints (~3.5% for standard and 3.0% for thin specimen). This is consistent with other literature and can be clearly seen in the fractography images [
7,
32]. As seen in
Figure 16, at 100× magnification, there is more visible internal porosity and slightly less effective sintering in the standard ZX and ZY samples as compared to all the other print orientations. Additionally, similar trends are seen for the thin samples with substantially more internal porosity and poor sintering for the ZX and ZY print orientations. While the edge effects, showing a lack of sintering at the sample edges for the other orientations could impact strain at failure, the large number of internal pores and voids likely have a more substantial impact. Interestingly, ε
f is also the only property that had a higher D
oA
orientation for the standard specimens than the thin specimens. However, as discussed earlier, it is also important to realize that ε
f is also the property analyzed with the most plastic deformation and thus this could have been due to simply having the most variance given the number of tested specimens. We recommend further testing with a large number of specimens if this relationship is critical to a particular part application.
The degree of anisotropy based on print orientation for UTS and
σy was greater than the D
oA
orientation for ν and E
A, but less than the D
oA
orientation for ε
f. The UTS and
σy values for the two Z print orientations (ZX and ZY) were the lowest and most impacted by orientation (average vertical print UTS
standard = 30.5 MPa, UTS
thin = 21.3 MPa, σ
y_standard = 22.5%,
σy_thin = 17.1%). However, the two thin specimen print orientations (XZ and YZ) exhibited substantially lower UTS (~27.8 MPa) and σ
y (~18.8 MPa) values as well. As seen in the SEM images presented in
Figure 16, the increased porosity and reduced sintering is likely a contributor to these impacts. In general, there was little change due to orientation in the UTS and
σy values for the XY, XZ, YX, and YZ standard samples, which can be contributed to the relatively consistent sintering throughout these orientations of the standard samples (
Figure 13 and
Figure 14). Evaluation of the SEM images in
Figure 16 for the XZ and YZ thin samples also indicates substantial edge effects of inadequate sintering, which could explain the drop in UTS and yield strength as compared to the XY and YX print orientations. These findings also warrant the investigation of specialized hatch patterns and/or post-processing techniques such as heat treatments and coatings for thin SLS parts.
4.3. Combined Sensitivity of Properties to Thickness and Print Orientation (Combined Anisotropy)
All the calculated material properties other than ν are primarily influenced by a value in a single direction and as such there are clear differences in the material properties based on orientation. However, thickness does appear to mitigate the effects of orientation, with the average maximum DoAorientation for all properties being 20% for the standard specimens and 25% for the thin specimens. This is particularly true for EA, σy and ν, which have degrees of anisotropy decreases of 49%, 44%, and 67%, respectively, from the thin to the standard specimens. This improvement can be tied to the visibly higher level of porosity in the thin specimens and the poor sintering around the thin sample edges; however, it may also be influenced by the fact that these specimens are predominately influenced by elastic deformation.
5. Conclusions
Anisotropy due to orientation and thickness was evaluated by printing all the specimens in a single print with a constant laser setting and scan pattern for all the specimens. Anisotropy was consistently highest for the material properties evaluated while in the plastic region and at a minimum for the material properties well within the elastic region. However, print orientation and part thickness affected all the evaluated properties.
Print thickness affected all the material properties with the thin (0.8 mm) specimens having lower values than the standard (3.2 mm) specimens across all print orientations. The overall order of sensitivity of material properties to thickness, from most to least sensitive, was UTS, εf, σy, EA and ν, with the two highest average DoAthickness being 32.5% (UTS) and 31.0% (εf). These results highlight the importance of referencing material properties based on part thickness to accurately predict the printed part performance. Future research should also investigate the effects of varying hatch patterns and energy density between thick and thin parts to decrease the severity of the drop in material properties from thick to thin part features.
Print orientation impacted the overall material properties, with samples printed along the build/vertical axis (ZX and ZY orientations) being the most negatively impacted by orientation. This impact generally results in the highest sensitivity of anisotropy due to orientation being between the prints in the build direction versus the prints on the build surface (XY, YZ, YX, and YZ orientations). The overall order of sensitivity of the material properties to print orientation was εf, UTS, σy, EA and ν, with a maximum DoAorientation of εf being 106% for the standard samples and 98% for the thin samples. The identification of the overall sensitivity of these material properties to print orientation provides guidance to optimize SLS print orientation based on end-use requirements.
The present work underlines the importance of tuning energy density (primarily hatch pattern, laser power, and laser speed) based on wall thickness and orientation to maximize mechanical properties. These findings also highlight the possibility of using orthotropic models based on orientation and thickness to predict the performance of thin end-use SLS parts such as scaled structural ship models [
3].
Future work should also investigate the post-processing heat treatments of thin-walled prints to reduce edge effects and anisotropy by increasing the overall level of sintering in all directions. The present results show this may be heavily influenced by wall thickness and the fraction of the cross-section that is affected by sintered edge particles. Finally, the ability to blend in additives in the form of fibers or particles is another option to achieve the desired material properties [
23]; however; the impacts of these additives on the sintering process and overall print quality may severely degrade thin specimens and will have to be fully characterized to realize the benefits [
37]. Overall, this points to the importance of investigating material additives prior to printing, energy density customization during printing, and post-printing strategy after printing to minimize the anisotropy of SLS prints.