In a previous article, we explained the motivation to add conductive fillers to PA12 powders and create complex components for thermal management with the Selective Laser Sintering (SLS) process. We also explained the different steps of sample preparation, which is crucial for the quality of the results.
Different print temperatures for different powder mixtures
The samples were prepared as part of a study  by researchers at the Institute of Polymer Technology (LKT) at the University of Erlangen-Nuremberg. They used different mixtures of copper spheres and flakes in varying contents: 5 and 10 vol% copper spheres and 5 vol% copper flakes. The energy density of 0.043 J/mm2 was kept constant for all materials to detect any changes in the process behavior due to the fillers. For the PA12/Cu spheres powder, a build temperature of 167°C was experimentally determined. For the PA12/Cu flakes mixture, the build temperature needed to be increased to 173°C. It was assumed that a higher Conduttività TermicaThermal conductivity (λ with the unit W/(m•K)) describes the transport of energy – in the form of heat – through a body of mass as the result of a temperature gradient (see fig. 1). According to the second law of thermodynamics, heat always flows in the direction of the lower temperature.thermal conductivity and lower Specific Heat Capacity (cp)Heat capacity is a material-specific physical quantity, determined by the amount of heat supplied to specimen, divided by the resulting temperature increase. The specific heat capacity is related to a unit mass of the specimen.specific heat capacity could be the reason. Therefore, the following analysis can be used to investigate these effects in detail.
How to analyze thermal diffusivity
At NETZSCH Analyzing & Testing, an LFA 467 Hyperflash was used to measure the thermal diffusivity of these different mixtures of PA12 powder with copper particles in comparison to the neat PA12 material.
A short light pulse heats the bottom surface of the sample and the temperature rise on the rear surface is measured as a function of time using an IR detector.
This is repeated for each temperature step after the sample temperature is stabilized and the flash lamp is also fired several times over a span of minutes.
The preparation of the samples is very important and explained in detail here.
After loading the samples, the measurement is started using the conditions summarized in the following table:
Table 1: Measurement conditions
|Z-direction: 12.7 mm square x- and y-direction: laminate sample holder 12.7 mm
|Temperature measuring points
|25, 40, 60, 80, 100, 120, 140, 160, 168, 180°C
How copper spheres influence thermal diffusivity
Figure 2 shows the analyzed Diffusività TermicaThermal diffusivity (a with the unit mm2/s) is a material-specific property for characterizing unsteady heat conduction. This value describes how quickly a material reacts to a change in temperature.thermal diffusivity as a function of temperature and sample orientation for the neat PA12 in comparison to the PA12/copper sphere mixtures.
As expected, the neat PA12 samples show no directionality and the thermal diffusivity values are lowest. They show the typical decrease with increasing temperature up to the Melting Temperatures and EnthalpiesThe enthalpy of fusion of a substance, also known as latent heat, is a measure of the energy input, typically heat, which is necessary to convert a substance from solid to liquid state. The melting point of a substance is the temperature at which it changes state from solid (crystalline) to liquid (isotropic melt).melting temperature.
The samples with 5 vol% Cu spheres show slightly higher values for the thermal diffusivity than the neat PA12 and the samples with 10 vol% Cu spheres show the highest values of the three materials. This is a result to the higher thermal diffusivity of the copper compared to the insulating matrix. For most samples, no directionality is observed due to the isotropic properties of the spheres. However, for the sample with 10 vol% Cu spheres in the thickness direction z, the thermal diffusivity is slightly lower than for the other two directions. This is likely related to the higher porosity of these samples, which was measured by Lanzl et al. . The LFA results indicate higher porosity between layers in the z-direction than within a layer in the xy-plane.
How copper flakes influence the thermal diffusivity
A different behavior is observed with the copper flakes as shown in Figure 3, where the thermal diffusivity measurements of all samples in the x-direction and of the flakes in all three directions are compared.
The flakes show much higher values for the thermal diffusivity than the other mixtures with spheres and the neat PA12. The high degree of anisotropy is expected based on the 2D character of the filler. The highest thermal diffusivity is measured in the y-direction followed by the x-direction. The lowest values are achieved through the thickness of a layer in the z-direction. This indicates a higher preferential orientation in the xy-plane, which is likely due to the powder application process.
Figure 4 shows a microscopy image of the cross-section of a single layer of the PA12/Cu flake mixture as reported by Lanzl et al. . The image shows that the particles touch each other and therefore, the overall thermal resistance of the material (or here cross-section) should be minimized. The majority of the fillers is oriented horizontally, which corresponds to the xy-plane. However, it can be seen that some flakes are tilted at an angle, which results in the higher thermal diffusivity in the z-direction compared to all other samples.
Diffusività TermicaThermal diffusivity (a with the unit mm2/s) is a material-specific property for characterizing unsteady heat conduction. This value describes how quickly a material reacts to a change in temperature.Thermal diffusivity measurements provide significant insight into both the orientation of the fillers and their vicinity to each other without the need for additional optical imaging.
How to determine the thermal conductivity
For further analysis or simulation, in addition to the thermal diffusivity, a, the thermal conductivity, l, is needed. To compute the thermal conductivity, the specific heat capacity, cp, and the density, r are required:
Both the thermal diffusivity and Specific Heat Capacity (cp)Heat capacity is a material-specific physical quantity, determined by the amount of heat supplied to specimen, divided by the resulting temperature increase. The specific heat capacity is related to a unit mass of the specimen.specific heat capacity are measured as a function of temperature. The measurement and results of the cp–measurements are explained here. However, the density requires reusing the density at room temperature as well as the thermal expansion coefficient for the investigated temperature range:
The density at room temperature was measured by the buoyancy-flotation method with water, the thermal expansion coefficient, α, is measured with a Thermomechanical Analyzer (TMA), which will be explained in a later article. The coefficient of expansion is direction dependent und is calculated, it is calculated as follows
αv = (αx + αy + αz)/3
Higher copper content = Higher thermal conductivity
The resulting computed thermal conductivity values are plotted in Figure 6 as a function of temperature for the different materials and mixtures.
The same trends as seen for the thermal diffusivity are observed:
- With increasing copper content, the thermal conductivity is increasing.
- The Cu spheres show mainly isotropic behavior. Differences in the values are related to the porosity of the samples.
- The copper flakes show the highest increase in thermal conductivity as the fillers partly touch and reduce the conductivity resistance of the composite material.
- The copper flakes show anisotropic behavior due to their 2D geometry and the powder application process.
However, the reduced temperature dependence as well as the slight curvature at low temperatures is related to the temperature dependence of the cp values.
Optimizing process settings based on analysis results
For the application of such conductive fillers in thermal management, it is important to adjust the orientation of the 3D-printed parts to account for any anisotropy due to the coating process and filler geometry.
Regarding the process settings and in particular the build temperature, it was observed that the mixture of the flakes needed to be processed at a build temperature of 173°C, which was 6°C higher than the mixtures with spheres. The higher thermal conductivity and the lower specific heat both lead to a reduced ability of heat storage in the compound and better discharging of the heat. Especially in the xy-plane, where the highest conductivities with Cu flakes were obtained, it is to be expected that the energy input from the laser is more rapidly distributed, leading to a lower temperature. Thus, increasing the build temperature is counteracting this effect.
For better understanding the influence of the different filler shapes on the energy input, Lanzl et al. analyzed the thickness of a single layer. It was found that the layer thickness of the mixture with Cu flakes is significantly thinner. The researchers attributed this to the increased thermal conductivity in the xy-plane compared to the thickness direction and also to the increased diffuse reflection of the laser, which results in lower energy input. This additional analysis highlights the importance of understanding the changes in thermal diffusivity and conductivity for all aspects of the SLS process and the most suitable process settings.
About Institute of Polymer Technology (LKT)
The Institute of Polymer Technology is an academic research institute at the Friedrich-Alexander University of Erlangen-Nuremberg. It is one of the leaders in Additive Manufacturing research; particularly SLS. Other main research areas include Lightweight Design and FRP, Materials and Processing, Joining Technology and Tribology. In addition to these research focuses, the institute is also working on cross-disciplinary topics such as Filler Material Compounding, Simulation of Processing and Applications, Radiation Cross-linked Thermoplastics, Gentle Processing and many more.
 Lanzl, L., Wudy, K., Greiner, S., Drummer D., Selective Laser SinteringSintering is a production process for forming a mechanically strong body out of a ceramic or metallic powder. Sintering of Copper Filled Polyamide 12: Characterization of Powder Properties and Process Behavior, Polymer Composites, pp. 1801-1809, 2019: Selective laser sintering of copper filled polyamide 12: Characterization of powder properties and process behavior – Lanzl – 2019 – Polymer Composites – Wiley Online Library