Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
Thermal Properties of 3-D Printed Polylactic Acid - Metal Composites
John Laureto1, Julie Tomasi2, Julia A. King2, Joshua M. Pearce13*
1. Department of Materials Science & Engineering, Michigan Technological University, USA
2. Department of Chemical Engineering, Michigan Technological University, USA
3. Department of Electrical & Computer Engineering, Michigan Technological University, USA
*corresponding author:
601 M&M Building
1400 Townsend Drive
Houghton, MI 49931-1295
906-487-1466
pearce@mtu.edu
Abstract
Standard fused filament fabrication (FFF)-based 3-D printers fabricate parts from thermopolymers, such as polylactic acid (PLA). A
new range of metal based PLA composites are available providing a novel range of potential engineering materials for such 3-D
printers. Currently, limited material data, specifically thermal property characterization is available on these composites. As a result,
the application of these materials into functional engineered systems is not possible. This study aims to fill the knowledge gap by
quantifying the thermal properties of copperFill, bronzeFill, magnetic iron PLA, and stainless steel PLA composites and provide
insight into the technical considerations of FFF composite 3-D printing. Specifically, in this study the correlation of the composite
microstructure and printing parameters are explored and the results of thermal conductivity analysis as a function of printed matrix
properties are provided. Considering the relative deviation from the filament raw bulk analysis, the results show the printing operation
significantly impacts the resultant component density. Experimentally collected thermal conductivity values, however, do not correlate
to the theoretical models in the literature and more rigorous quantitative exercises are required to determine true percent porosity to
accurately model the effect of air pore volume fraction on thermal conductivity. Despite this limitation, the thermal conductivity
values provided can be used to engineer thermal conductivity into 3-D printed parts with these PLA-based composites. Finally, several
high-value applications of such 3-D printed materials that look metallic, but have low thermal conductivity are reviewed.
Keywords: additive manufacturing, 3-D printing, thermal conductivity, polylactic acid, RepRap, composite
Acknowledgments
The authors would like to acknowledge technical assistance from G. Anzalone and P. Fraley and support from Aleph Objects, Inc. and
the ARPA-E ARID program.
1. Introduction
Adrian Bowyer's release of the open-source RepRap (self-Replicating Rapid prototyper) 3-D printer [1-3] greatly accelerated
the adoption of 3-D printing [4]. Standard RepRap 3-D printers fabricate parts using fused filament fabrication (FFF) 1 and such opensource designs now constitute the majority of deployed 3-D printers [5]. As the costs for RepRap components have dropped below
$500 [6] and high-quality commercial RepRaps can be purchase assembled for $1000-$2200 [7], the potential for decentralized
manufacturing with 3-D printing both in the developing [8] and developed countries [9] is feasible. Such decentralized digital
fabrication leads to radical reductions in the cost of printing low quantity speciality items [10]. For instance, small production runs are
suited for 3D printing; highly customizable objects [11], functional prototypes [12] and maintence/replacement components [13].
Previous studies have shown that such manufacturing not only allows for a lower cost of even simple products for the consumer [14],
but a lower impact on the environment as well [15].
Conventional FFF 3-D printers printed in primarily hard thermopolymer of ABS (acrylonitrile butadiene styrene) and PLA
(polylactic acid), however, there are many other materials available on the market for consumer FFF 3-D printing including nylon,
polycarbonate, high-density polyethylene, high impact polystyrene. In addition, there are a number of new functional materials
including glow in the dark, flexible (ninjaflex and semiflex and other elastomers), water soluble (PVA), electrically conductive PLA,
HIPS, INVOA-1800, Laybrick, Laywoo-D3, copperFill, bronzeFill, magnetic iron PLA and stainless steel PLA.
One functionality is the use of metal/polymer matrix composites for thermal applications. For example, an iron/nylon feed
stock material, manufactured using FFF printing technology, has shown to be applicable to rapid tooling die inserts [12]. Thermal
1 FFF is material extrusion by ASTM Standard F2792-12a. It should be noted that FFF is the generalized non-trademarked equivalent
of fused deposition modeling (FDM).
1
Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
conductivity of the matrix was found to be proportional to that of the metal filler additive. Similarly, the implementation of iron
powder into an ABS matrix will increase the glass transition temperature of the polymer base, thus decreasing the softening point of a
potential injection molding material [16]. 3-D printed fabrication of metal/polymer composites has been shown to promote
dimensional stability, while simultaneously reducing the cost of manufacturing as compared to conventional methods [17]. Enhanced
thermal conductivity polymer/metal composites have been proposed; hybrid filler [18], nanoporous particle embedding [19],
polypropylene composite with graphite and carbon black [20] and polymeric composites utilized for heat dissipation, are expanding in
many fields of engineering [21].
A new range of open metal based PLA composites have been introduced to the market, providing a new range of potential
engineering materials. Currently, limited material data, specifically thermal property characterization is available. As a result, the
application of these materials into functional engineered systems is not possible. This study aims to fill the gap by quantifying the
thermal properties of copperFill, bronzeFill, magnetic iron PLA, and stainless steel PLA composites and provide insight into the
technical considerations of FFF composite 3-D printing. Specifically, composite microstructure and correlation of printing parameters
to resultant performance will be understood. This paper describes the results of thermal conductivity analysis as a function of printed
matrix properties.
2. Methodology
2.1 Materials
Four metal/polymer composites are analyzed: copperFill, bronzeFill, stainless steel PLA and magnetic iron PLA. ColorFabb
(copperFill and bronzeFill) and ProtoPasta (stainless steel PLA and magnetic iron PLA) are the only major suppliers of these
composite filament types. The composite filaments are blends of PLA/PHA with metal powder additives e.g. copper, bronze, ferritic
iron and stainless steel. Filament material for this analysis was obtained in 0.75kg spools per standard packaging requirements of the
respective vendors. Due to 3-D printer design, a nominal filament diameter of 2.85mm (0.112in) ±0.05mm (± 0.001in) was selected
for development. Further relevant technical material data, mechanical properties and supplier recommended printing parameters are
described in Table 1[22-25]. ColorFabb’s technical data sheets indicate a maximum tensile strength of 25MPa and 30MPa for
copperFill and bronzeFill, respectively. Furthermore, flexural strength and flexural modulus are reported as 40 MPa and 7.0 GPa for
copperFill and 40 MPa and 9.0 GPa for bronzefill. ProtoPasta does not report mechanical property information, however, it would be
expected that due to a similarity in formulation and material type the maximum tensile strength, flexural strength and flexural modulus
relatively similar to ColorFabb’s reported values. Moreover, manufacturing condition and/or processing methods are not reported on
ColorFabb’s technical data sheets. Thus, correlating processing parameters to these mechanical properties should be empirically
determined relative to an operators manufacturing conditions.
2.2 Fabrication
The utilization of an open-source architecture allowed for rapid development of digital build files and physical samples.
Applying the testing methodology described in ASTM F433, thermal conductivity samples were modeled in OpenSCAD 2015.03.
Dimensional requirements, as stated in ASTM F433, require symmetric cylinders produced to a diameter of 50.8mm (2in) ± 0.25mm
(0.010in) and a thickness of 2.29-12.7mm (0.090-0.50in) [26].
Slicing, i.e. the digital fabrication of a volumetric shape into two-dimensional vectors paths, was performed with Cura
15.04.4 utilizing the supplier recommended parameter sets (summarized in Table 2) as a baseline. The parameters that determine
slicing conditions were developed in effort to produce 100% dense samples. Thus, effective 'fill' stripe, 'contour' offset alignment,
extrusion temperature and flow percentage were critical. However, during initial parameter development understanding the space void
between each vector path is difficult to quantify without further analysis [27, 28]. Therefore, fabricated samples were expected to
contain microscopic air voids. The resultant Cura profiles for the quantitative parameter development are displayed in Table 2.
A single Lulzbot TAZ 3.0 printer coupled with a 0.5mm diameter extruder nozzle was employed. Use of a single printer
removes variability observed in FFF 3-D printers [27]. A Budaschnozzle 2.0 extruder modification was required as the standard
3.0mm polytetrafluoroethylene (PTFE) filament guide required an increase of 0.5mm to account for excessive dimensional expansion
of metal/polymer composite flow through the hot end. One print cycle/build yielded four composite samples. Four samples provided
adequate statistical relevance to the analysis while minimizing material waste. The printing systems utilized a singled extruder
nozzle/head. Thus, four distinct build set-ups were required as described in Table 1. The build platform/surface was prepared with a
mechanical cleaning operation prior to each print cycle.
2.3 Characterization
Printed component fracture surfaces, transverse to the build orientation were imaged using a Philips XL 40 Environmental
Scanning Electron Microscope (ESEM) for qualitative elemental analysis and back-scattered electron imaging. ESEM fracture
surfaces provide information on metallic particle morphology that optical microscopy cannot. Captured back-scattered electron images
highlight average atomic number of matrix constituents, thus providing a qualitative elemental analysis. Excessive charge build up on
2
Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
the sample as a result of the PLA constituent affected the SEM-BSE (scanning electron microscope back-scattered electron) images.
Thus a low vacuum water atmosphere was required for analysis. The low vacuum mode limited the available incident keV from the
electron source. As a result of this limiting condition, elemental mapping with EDS (energy dispersive spectroscopy) proved to be
inadequate.
ImageJ 1.49 software was used for the conversion of SEM-BSE micrographs into an 8-bit image files [29]. From the
converted image, a binary representation is created and a relative percentage of 'white' vs. 'black' is formulated allowing for volume
percentages to be measured. By comparison, weight percentage is calculable from an Archimedes density analysis. Equation 1 equates
a relationship between dry sample weight and wet sample weight to yield a density analysis that measures apparent porosity within the
metal polymer matrix [30].
(eq. 1)
Where:
ρS = Density of Solid Body
A = Weight of solid body in air
B = Weight of solid body when immersed in test liquid
ρL = Density of test liquid at a given temperature T
Thermal conductivity measurements of the printed materials utilized the guarded heat flow method of ASTM F433 using a Holometrix
TCA300 Through-Plane Thermal Conductivity Tester. Prior to each analysis thermal paste, Dow Corning (Dow Dupont) 340 silicon
heat sink compound, was applied to each sample [31]. Thermal conductivity measurements were taken at 55°C providing a
temperature measurable near ambient while also producing a sufficient temperature gradient within the Holometrix TCA300 [32]. The
heat flow through a disk specimen between two solid flat surfaces is modeled to measure thermal conductivity by Equation 2 [26].
(eq. 2)
Where:
k = Thermal conductivity of the sample (W/m·K)
q = Heat Flow through Sample (W)
A = Cross-sectional area of the sample, (m2)
Δx = Sample thickness, (m)
ΔT = Temperature difference across the sample, (°C)
Printed virgin PLA material set the baseline for this analysis. Measurements allowed for identification of net percent increase of
thermal conductivity as a result of the printing operation and/or addition of metallic filler materials.
Thermal conductivity of two-phase systems can be modeled using the individual phases’ thermal conductivity. Relative volume
percentages, as determined form prior analysis, allow the calculation of a composite thermal conductivity. In the proposed system, the
spatial distribution of respective metallic particles in uncontrolled. Thus, the thermal conductivity model does not take into account
morphogical characteristics of the metallic fillers materials. The volume concentration dependency on bulk thermal conductivity of a
two phase system, as described by Mamunya [33], follows Lichtenecker’s equations. The following Equation 3 describes such a
system where λPLA and λMETAL correspond to the respective thermal conductivity of the PLA and metallic constituent, respectively.
(eq. 3a)
(eq.3b)
Where:
λ = Composite Thermal Conductivity (W/m·K)
3
Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
λPLA = Polymer Constituent Thermal Conductivity (W/m·K)
λMETAL = Metallic Filler Constituent Thermal Conductivity (W/m·K)
ϕ= Volume Concentration of Metallic Filler (%)
Lichtenecker’s dependence does not take into account the percolation theory. Two-phase modeling need not accommodate the
percolation theory where thermal conductivity ratios of 1 to 103 are witnessed [33]. Thus, metallic filler particles are independent of its
nearest neighbor, i.e. no continuous conductive flow paths are readily available in these analysis.
The Holmetrix TCA300 analyzed the generated sample medium with each FFF layer parallel to one another. Specifically, due to the
layer-wise fashion of the manufacturing process the thermal conductivity measurements are a prediction of the series interaction of
each flow through every layer. As described by Agarwala, layering effects of the printing process develop compounding un-intentional
pore formation [34]. Pore phases (porosity constituents) are effectively thermal insulators. Pore thermal conductivity and pore volume
fractions less than 15%, of the bulk composite matrix are defined by Equation 4, the Maxwell-Eucken bound [35].
(eq.4)
Where:
λSMITH = Smith Corrected Thermal Conductivity (W/m·K)
λPLA = Polymer Constituent Thermal Conductivity (W/m·K)
λMETAL = Metallic Filler Constituent Thermal Conductivity (W/m·K)
vPORE = Volume Concentration of Air Void (%)
Generalized models for metallic filler dependency (Equation 3) on thermal conductivity and degradation of that value due to porosity
(Equation 4) are shown in Figure 1 and 2, respectively. Generated plots are shown with λPLA = 0.1 and λMETAL = 102 for comparison.
3. Results
3.1 Density and Constituent Wt/Vol Percentage Determination
The Archimedes density analysis displayed variation in apparent densities (g/cc) from part to part relative to each material.
Statistical analysis including standard deviation and 95% confidence intervals confirm valid measurements. Table 3 summarizes the
resultant printed density, weight percent, and volume percent for each copperFill, bronzeFill, stainless steel PLA, magnetic iron PLA,
and virgin PLA sample. Calculations described in Equation 5 and 6 allow for the value determination shown in Table 3 [30]. Table 4
describes the statistical analysis of the measured values indicated.
(eq. 5)
(eq. 6)
Where:
MS = Dry Mass of Solid Component (g)
ρS = Density of Solid Composite (g/ml)
4
Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
CopperFill values exhibit the greatest deviation in printed density values relative to its bulk density. Approximated by
Equation 7, an average (-) 6.61% drop in density is measured between bulk and printed samples. Conversely, bronzeFill, stainless steel
PLA and magnetic iron PLA measure a net increase in density after printing; (+)1.99%, (+)4.40% and (+)4.36%, respectively. Raw
(i.e. virgin) printer filament was utilized as the bulk density. The measured net increase in relative density and/or mass gain within a
specific volume indicates that the printing process increased the density of the composite material during the extrusion process.
(eq. 7)
Scanning electron microscopy confirms and elaborates on the findings of the Archimedean analysis. Representative SEM micrographs
of copperFill, bronzeFill, magnetic iron PLA, stainless steel PLA and virgin PLA are displayed in Figures 3-7. Overlaid arrows
indicated build direction on each respective SEM micrograph. Layer lines, resultant of multilayered printing, are abundant. Triangular
shaped air voids are visible and distinguishable from the matrix as a result of their non-spherical morphology caused by oblong crosssectional layers being deposited side by side. Combining area percent analysis to the Archimedean density shows CopperFill is the
most porous of all manufactured samples.
Figure 8 shows a sample analysis from ImageJ for CopperFill. In this analysis, air voids correlate to the white fields displayed and
represent 5.636% of the available cross section.
Conversely, air voids are apparent within the matrix for bronzeFill, magnetic iron PLA and stainless steel PLA. These results are not in
agreement with the aforementioned Archimedean density analysis, as all printed components appear to exhibit extrinsic porosity as a
result of printing. These occurrences are likely due to experimental process error. There is inadequate characterization of apparent air
void fraction through bulk raw filament density assumptions and raw filament buoyancy forces. Specifically, the air void fraction was
determined by comparing the bulk raw filament Archimedes density to that of the composite printed sample. Archimedean density
analysis was selected as an adequate method as there are no other ideal methods to determine density of an irregularly shaped object.
Furthermore, the bulk raw filament density determined was assumed 100% dense during comparison. The result bulk density
assumption, in addition to potential and unaccounted for significant buoyancy forces of the filament sample potentially lead to the
mis-representation of material density in the Archimedean analysis. Thus, a more accurate demonstration of the pore fraction was
performed with ImageJ 1.49 as the weight of the sample in water (Equation 1) was not taken into consideration with this method. [29].
Results of this study, and their respective deviation from the Archimedes analysis are shown in Table 5.
3.2 Particle Size Determination
Back scattered electron (BSE) images can also provide a qualitative analysis of the 'microstructure'. Visible particle
morphology of the metallic filler material are spherical for copperFill and bronzeFill. Conversely, stainless steel PLA and magnetic
iron PLA contain 'flake' like particles. ImageJ coupled with the BSE image allowed for the particle size determination. CopperFill and
bronzeFill were assumed spherical based upon the morphology shown in Figures 9(a), while stainless steel and magnetic iron PLA are
flake like as shown in Figure 9(b).
Thus, extracted particle area measurement determination, in ImageJ 1.49, was converted to diameter though a common area equation
calculation (πr2). While the 'flake' like metallic particles of stainless steel PLA and magnetic iron PLA were analyzed using an average
Feret diameter. The particle size distribution analysis is represented in Figures 10-13.
3.3 Composite Thermal Conductivity (W/mk) Determination
The measured thermal conductivity for the studied open metal/PLA composites is shown in Figure 14. The solid lines in these
figures correlate to the prescribed relationships of Equation 4 with 103, 102, and 101 constituent thermal conductivity ratios
(λMETAL/λPLA).
Experimentally collected thermal conductivity values do not correlate to the prescribed models shown by Lichtenecker and Smith.
Generalized modeled and quantitative thermal conductivity presented prior (Figure 14) are further developed in Table 6. Selected
metallic constituent thermal conductivity values, shown in Table 6, represent corresponding magnitudes of the metallic filler
5
Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
component. Thus, the values presented are to be considered reference and may vary depending upon chemistry (i.e. purity and alloy of
the respective constituent).
Significant deviation is notable from the analysis with exception to stainless steel PLA. The calculated λSMITH value for copperFill,
bronzeFill and magnetic iron PLA vary, relative to the measured thermal conductivity by Holometrix TCA 300 by (+)157.29, (+)93.03
and (+)33.18%, respectively. Conversely, measured values for stainless steel PLA deviate by 4.17%. The largest variance presents in
metal/polymer composites where the metallic constituent thermal conductivity is 10 3 times greater than the polymer constituent.
Comparing base PLA, 0.1849 W/m·K, to measured values implies that there is greater dependence on apparent print density than
thermal conductivity of each respective constituent. Specifically, BronzeFill outperforms CopperFill by 21.92% even though the metal
thermal conductivities are 50 and 380 W/m·K, respectively. Conversely, Magnetic Iron PLA outperforms Stainless Steel PLA where
the metal thermal conductivities are 79.5 vs. 18 W/m·K, and metallic filler volume percentages are 13.37 and 17.25%, respectively.
Developed models for porosity considerations assume cylindrical obstacles (pores) dispersed uniformly within the metal/polymer
matrix. Other methods, described by Smith, include open porosity considerations more readily suited to fit the developed samples
[35]. The realized cross-sectional geometry, described in Figures 3-7 indicate the presence of non-equiaxed open pores which are more
readily suited by Landauer’s relation to percolation theory. Landauer’s theory assumes pore zones to be equally dispersed throughout
the matrix with respect to the input heat [36]. These concepts apply to the developed samples due to printer type and layer base
manufacturing methods. In effect, an assumption can be made that each build layer contains equivalently randomly orientated air pore
structures. Application of the modeled, described in Equation 8 yields the following results displayed in Table 7.
(eq. 8)
Where:
λLandauer = Landauer Corrected Thermal Conductivity
vC = Vol. % Composite (CopperFill, BronzeFill, Magnetic Iron PLA, Stainless Steel PLA
vA = Vol. % Air Void
λC = Measured Thermal Conductivity of Composite (W/m·K)
λA = Standard Value for the Thermal Conductivity of Air (W/m·K)
It is clear that the existing models are deficient in fitting the experimental data.
4. Discussion
More rigorous quantitative exercises are required to determine true percent porosity in order to accurately model the effect of air pore
volume fraction on thermal conductivity. In effect, low pore volume fraction (<6%) does not model the system accurately.
Specifically, Smith and Landauer models are expected to model the system appropriate assuming appropriate volume fraction
determination. Tsotsas et al. compiled multiple analytical approach methods for thermal conductivity determination of gas-filled
packed beds [37]. Moreover, the layer based manufacturing methods induce porosity formation layer-by-layer and by each subsequent
pass of the hot end compounds the development of air voids. The models utilized may not adequately represent the geometry of the air
void fraction. Thus, the assumption of non-equiaxed pores is insufficient at modeling printed components. More likely, however, is the
presence of micron size “layers” of air void fraction between each printed metal/polymer composite layer. Optimized printing
parameters, specifically extrusion temperature (°C) and speed (mm/s), could alleviate this issue To investigate the proposed theory,
secondary calculation utilizing the prescribed through plane and non-continuous heat flow path assumptions, thermal conductivity
values are equated. Table 8 represents these determinations abiding Equation 3a (Lichtenecker dependence) has been applied to
determine the perpendicular (relative to the printed layer) thermal conductivity of the composite. The determined composite(s) thermal
conductivity (Table 6) are re-utilized as an input into Equation 3a to determine the perpendicular thermal conductivity assuming that
the air void fraction is a layer oriented perpendicular to the heat flow. Air void volume fraction percentages are utilized as shown in
Table 5.
The variance between λLAYER, λLichtenecker, λSmith is most substantial in composites with 103 or 102 metallic thermal conductivity (W/m•K).
To obtain the measured Holometrix TCA 300 composite thermal conductivity of CopperFill, BronzeFill, Magnetic Iron PLA and
Stainless Steel PLA air void fraction percentages of 44.70%, 26.31%, 13.75% and 1.86%, respectively, would be required. The
performed Archimedes analysis suggest that these values are not representative of the composite matrix.
6
Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
Single sample cross sectional analysis is inadequate at quantifying the air void volume content. In effect, single sample microscopy of
FFF developed samples do not represent the porosity of the entire matrix. Further analysis should aim for rigorous sample procedures
to analyze all appropriate component locations and orientations. Methods utilized in these analysis analyzed the ZX plane for
quantitative microscopy. A proposed method would utilize, at minimum, 3 distinct sample planes that highlight critical features of the
XY, ZX and ZY three-dimensional coordinate planes. Figure 15 elaborates on this proposal.
Although all of the materials did not have high thermal conductivities expected of high weight percentage metal materials, there are
several high-value applications of such 3-D printed materials that look metallic, but have low thermal conductivity. For example, these
composites can be used in the fabrication of muntins for energy efficient windows with complex geometries. A muntin (also referred
to as muntin bar, glazing bar or sash bar) is generally a strip of metal separating and holding panes of glass in a window. Today,
window manufacturers are basically locked into extruded shapes for muntins resulting in options of straight bars of slightly varying
widths. 3-D printing composite materials such as those investigated here with high air void density would enable better heat retention
in the building while enabling more artistic latitude and organic designs in windows. Future work is needed to test the UV stability of
such composites, and high-temperature thermopolymers should also be investigated.
Limiting the printed component porosity by secondary processing methods needs to be investigated. Several processes are readily
available and can potentially increase the printed density of the material. Specifically, isostatic pressing can be utilized post printing to
increase layer to layer adhesion and remove residual air pockets as result of poor print vector overlap. Cold isostatic pressing (CIP) is
readily applicable for this application. While immersed in a liquid, typically water based, isostatic pressure is applied to the specimen
at an ambient temperature resulting in part densification. Initial investigations indicate a 5.0% increase in printed density after a CIP
operation. Samples subjected to experimentation had a similar geometry to the thermal conductivity samples. Components were
subjected to vessel pressures of 30,000 psi and held for 5 minutes, thus completing an entire test cycle. Significant dimensional
variation (i.e. warp) resulted from the CIP processing. Conversely, hot isostatic pressing (HIP) utilizes the increase driving force of an
elevated temperature to plastically deform internal cavities and promote diffusion bonding [38]. The melting temperature of PLA is
greater than 155°C [39], while the typical HIP operating temperature range is ~500-2000 ºC [38]. Thus, copperFill, bronzeFill,
magnetic iron PLA and stainless steel PLA are not readily suited for this secondary process.
Considering the relative deviation from the filament raw bulk analysis, the printing operation significantly impacts the resultant
component density. Baseline parameters sufficed for these analyses, however, future work should continue to develop the printing
parameters for acquiring 100% density as printed. Elimination of required secondary processes, such as CIP, accelerates
manufacturing time at reduced cost. As such, novel printing processes and procedures require development to optimize the current
available systems. Obstacles to overcome, specific to complex build geometries, include both interior and exterior accommodations.
External errors include: staircase/rastering effects, cure approximation errors, top/bottom skins and start-stop errors [34]. Internal
errors, more directly effecting thru-thickness thermal conductivity measurements, include: proper alignment of contour and internal
vector path overlap resulting in air voids, inadequate material flow during material deposition processes [34].
Metal polymer filament composites, as described in these analysis, have a limited supply on the open market. Few manufactures
readily develop composite filament materials for thermal applications. Numerous investigations have developed understandings of
electrically conductive polymers suited for FFF [40, 41]. However, thermal applications specific to thermal conductivity are limited at
this time. Custom manufactured filaments utilizing semi-automated recyclebot technology [42] can be investigated, which can use
post-consumer thermoplastics [43]. Design of the recylebot technology is feasible to suggest the potential application to the material
development of composite materials. A proof of concept, in this realm, could yield vast advancements in polymer and powdered metal
recycling capabilities. Specific to the industrial 3-D printing/additive manufacturing sphere, powdered metal is readily available as a
waste product. Generally, the nominal particle size of the metallic powder deviation and the smooth sphere morphology is distorted as
result of continual re-use [44]. The deviated particle will begin to degrade the mechanical performance of the printed components.
Large particles sizes typically result in porosity and edge contour gaps relative to the internal microstructure. Thus, un-useable
powdered materials could be combined with recycled plastic filament to yield recycled metal polymer composites for 3-D printing.
Conclusions
Porosity coupled with lack of sufficient metal constituent cross section resulted in degraded thermal conductivity performance.
Current manufacturing and secondary processing techniques have shown to increase the thermal conductivity of the matrix of
copperFill, bronzeFill, magnetic iron PLA and stainless steel PLA by 81.28%, 98.81%, 45.66% and 71.51%, respectively. While nonideal results have surmounted after rigorous analysis, a proof of concept has been proposed. However, further work is required to
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Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
maximize the metallic filler volume percent and thus increase available sites for thermal transfer. Using recyclable metal powder
materials, recylebot technologies aim to develop custom composite materials with various metallic filler volume percentages. Also,
quantitative volume fraction determination requires further advancement, including appropriate model fittings. The utilized
thermodynamic models do not properly model an FFF printed sample polylactic acid – metal composite in their current state. Future
work is needed to properly represent the irregular air void fraction shape, layer to layer interface mechanisms, and percolation site
probability / random dispersion of metallic powder. Secondary processing mechanisms, specifically CIP, have been shown to be
capable of decreasing printed matrix porosity. Further CIP development needs to occur to reduce the geometric shift (i.e. warp during
the process).
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Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
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9
Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
Figures
Figure 1:
Generalized Vol. % Metallic Filler Addition Effect on Thermal Conductivity
10
Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
Figure 2:
Generalized Vol. % Air Void Effect on Thermal Conductivity
11
Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
Figure 3:
SEM-BSE Image
of CopperFill Cross-Section
Figure 4:
SEM-BSE Image
of BronzeFill Cross-Section
Figure 5:
SEM-BSE
Image of Magnetic Iron PLA
Cross-Section
12
Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
Figure 6:
SEM-BSE
Image of Stainless Steel PLA
Cross-Section
Figure 7:
SEMBSE Image of virgin PLA
Cross-Section
13
Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
Figure 8:
ImageJ 1.49 Analysis of Air Void Fraction in CopperFill. Threshold corrections have been performed, so the
representative scale bar has been removed for precise quantitative measurement.
Figure 9:
(a) Representative morphology of spherical particles (CopperFill and BronzeFill), (b) Representative morphology of
lake particles (Magnetic Iron PLA and Stainless Steel PLA)
Figure 10:
CopperFill
Particle Size (um) Distribution.
14
Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
Figure 11:
BronzeFill Particle
Size (um) Distribution.
Figure 12:
Magnetic Iron
PLA Feret Diameter (um)
Distribution
Figure 13:
Stainless Steel
PLA Feret Diameter (um)
Distribution.
15
Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
Figure 14:
Resultant Thermal Conductivity Measurements utilizing Holometrix TCA300 Compared to Lichtenecker’s
Dependence (EQ. 4).
Figure 15:
Proposed cross-sectional analysis
methods to properly quantify apparent air void
fraction of FFF printed components
16
Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
17
Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
Filament
CopperFill
BronzeFill
Magnetic Iron PLA
Stainless Steel PLA
Table 1: Supplier Recommended Printing Parameters and Basic Material Properties
Hot End Temperature (°C) Bed Temperature (°C)
Print Speed (mm/s)
190-210
55-60
50
195-220
50-60
50
185-195
50
Not Specified
195-220
50
Not Specified
Table 2: Cura Profiles Utilized For Manufacture of Component Samples
Layer Height
Quality
Shell Thickness
Bottom/Top Thickness
Fill
Fill Density
Print Speed (mm/s)
Speed and Temperature
Printing Temperature (°C)
Bed Temperature (°C)
Filament Diameter (mm)
Filament
Flow (%)
Machine
Nozzle Size (mm)
Material
CopperFill
Density (g/cm3)
4.0
3.9
1.8
2.4
0.25
1
1
100
50
190
60
2.85
100
0.5
Table 3: Measured Density of Filament Materials Utilizing Archimedes Method
ρ of Raw
ID
Dry Mass (g)
Wet Mass (g)
ρ H2O (g/ml)
Filament (g/cm3)
1
20.4054
14.0309
0.9978
3.5297
2
21.2323
14.9753
0.9978
3.4390
3
20.3595
14.0442
0.9978
3.4773
4
20.5622
14.1454
0.9978
3.4368
ρ of Printed
Body (g/cm3)
3.1941
3.3859
3.2167
3.1974
BronzeFill
1
2
3
4
23.0749
23.0788
22.9777
23.5184
16.8048
16.7940
16.4980
17.2299
0.9987
0.9987
0.9987
0.9987
3.5996
3.6009
3.6474
3.4836
3.6754
3.6674
3.5415
3.7350
1
2
3
4
12.4936
12.4908
12.5557
12.4839
6.2290
6.1984
6.2534
6.2093
0.9978
0.9978
0.9978
0.9978
1.8689
1.8863
1.9441
1.9025
1.9899
1.9807
1.9879
1.9852
1
2
3
4
15.3457
15.2725
15.1862
15.2467
8.8181
8.6856
8.6109
8.7468
0.9978
0.9978
0.9978
0.9978
2.1862
2.2037
2.2205
2.2971
2.3457
2.3135
2.3045
2.3405
Magnetic Iron
PLA
Stainless Steel
PLA
18
Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
Material
CopperFill
BronzeFill
Magnetic Iron PLA
Stainless Steel PLA
CopperFill
BronzeFill
Magnetic Iron
PLA
Stainless Steel
PLA
Table 4: Statistical Analysis of Measured Raw and Printed Body Density
Avg. Raw
Avg. Printed Body ρ
Filament ρ
Std. Dev
95% CI
Std. Dev
(g/cm3)
(g/cm3)
3.4707
0.0435
3.4015 – 3.5399
3.2485
0.0921
3.5829
0.0698
3.4718 – 3.6940
3.6548
0.0814
1.9005
0.0322
1.8493 – 1.9516
1.9859
0.0040
2.2269
0.04489
2.1491 – 2.3047
2.3261
0.0201
Table 5: Average Vol. % Determination of Polymer Metal Matrix Constituents After Printing
Archimedean Method
ImageJ Method
Vol. % Metallic
Vol. % PLA
Vol. % Air
Vol. % Metallic
Vol. % PLA
26.10
67.52
6.37
40.19
54.17
32.38
67.61
*
38.06
58.74
95% CL
3.1019 – 3.3951
3.5254 – 3.7843
1.97958 – 1.99227
2.2940 – 2.3581
Vol. % Air
5.63
3.19
11.32
88.67
*
13.67
83.57
2.75
16.08
83.91
*
17.25
80.39
2.34
19
Preprint: John Laureto, Julie Tomasi, Julia A. King, Joshua M. Pearce. Thermal properties of 3-D printed polylactic acid-metal composites, Progress in Additive
Manufacturing 2(1), 57-71 (2017). doi:10.1007/s40964-017-0019-x
Table 6: Measured thermal conductivity of CopperFill, BronzeFill, Magnetic Iron PLA and Stainless Steel PLA compared to Lichtenecker Model, Smith Air Void Correction and Base PLA
Sample Material
Average
Lichtenecker Pre- Lichtenecker Devi- Smith Air Void Smith Deviation Base λPLA DeviaHolometrix
diction (EQ. 4)
ation % from Correction (EQ. 5) % from Mea- tion from MeaTCA 300 λs
λLichtenecker (W/m·K)
Measured λs
λSmith (W/m·K)
sured λs
sured λs
(W/m·K)
CopperFill
0.4381
3.9904
(+) 160.42
3.6657
(+) 157.29
(+) 81.28
0.5460
1.5677
(+) 96.67
1.4957
(+) 93.03
(+) 98.81
*λMagnetic Iron = 79.5
(W/m·K)
0.2943
0.4271
(+) 36.82
0.4114
(+) 33.18
(+) 45.66
Stainless Steel PLA
0.3907
0.4106
(+) 4.98
0.4074
(+) 4.17
(+) 71.51
.1849
-
-
-
-
-
*λCopper = 380 (W/m·K)
BronzeFill
*λBronze = 50 (W/m·K)
Magnetic Iron PLA
*λStainless Steel = 18
(W/m·K)
Base PLA
Sample Material
CopperFill
BronzeFill
Magnetic Iron PLA
Stainless Steel PLA
Table 7: Smith Air Void Correction vs. Landauer Air Void Correction
Smith Air Void
Average Holometrix
Landauer Air Void
Correction (EQ. 5)
TCA 300 λs (W/m·K)
Correction (EQ. 8)
λSmith (W/m·K)
λLandauer (W/m·K)
[Table 6]
0.4381
0.5460
0.2943
0.3907
3.6657
1.4957
0.4114
0.4074
20
3.6565
1.4945
0.4112
0.3976
Percent Variance
Smith Method (EQ. 5)
vs. Landauer Method
(EQ. 8)
(-) 0.25
(-) 0.08
(-) 0.05
(-) 2.43