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Materials Science in Additive Manufacturing                        Measuring the porosity of AM components























            Figure 16. Micrograph analysis for porosity measurement of an additively manufactured titanium part

            lower than the measured bulk density of titanium of   A                   B
            4.433 g/cm³. The porosity is also only 0.18 – 0.24%. In this
            case, an apparent density is theoretically measured here. In
            practice, the deviations from the reference density are very
            small, so a true density can be assumed. Small deviations
            are understandable, as the EBM samples are densely fused
            together and generally have very few pores (Figure  17).
            As a result, the helium can only reach the surface of
            open pores in the EBM samples and cannot reach closed
            pores at all, displacing the air or gas contained therein.
            This results in slight measurement deviations from the
            material density as the reference value. Furthermore, light
            elements in the powder can also be vaporized during the
            EBM process, which changes the chemical composition of   Figure 17. EBM micrographs and binary images. (A) Section parallel
            the titanium and therefore the measured part density.  A   to the build direction; (B) section perpendicular to the build direction.
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            slight dependence on geometry is recognizable, but this is   Scale bar: 500 µm
            also very slight in absolute terms.                Abbreviation: EBM: Electron beam melting
              The Archimedes density of the EBM samples is max.   The total porosities determined by micrograph analysis
            0.02 g/cm³ or 0.45% lower than the reference geometry and   are approximately 0.08 – 0.15% (∥) and 0.10 – 0.16% (⊥).
            results in 0.25 – 0.51% open porosity. This means that the   This results in true density values of approximately 4.426 –
            apparent density results of the Archimedes method, in this   4.429 g/cm³ for a cut parallel and 4.426 – 4.428 g/cm³ for a
            case, deviate only slightly (max. 0.22%) from the results of   cut perpendicular to the build direction. The micrographs
            gas pycnometry. With other AM methods, especially PBF   are shown in Figure 17. As a result, all the measurement
            such as SLS, the results of these two measurement methods   methods analyzed (gas pycnometry, Archimedes method,
            differ significantly more. One reason for this is the lower   and micrograph analysis) achieve similar values for the
            porosity. The dense EBM components do not absorb any   EBM test components. The maximum deviation between
            measuring fluid with the Archimedes method and absorb   all individual measurements is only 0.02 g/cm³ or 0.45%.
            almost  no  gas  with  gas pycnometry.  This  means  that   This confirms Delesse’s principle, which states that the
            internal pores are not infiltrated and are included in the   ratio of the area occupied by a component to the total
            calculation of the apparent density for both measurement   profile area is a consistent estimate of the volume fraction
            methods. However, small accumulations of air on the   of the component in the object.  Terris et al.  were also
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            rough component surface can still slightly reduce the   able to prove this. However, micrograph analysis tends to
            density with the Archimedes method and lead to small   slightly underestimate the porosity values and overestimate
            fluctuations. These effects are geometry-dependent and are   the density values compared to both other methods. One
            particularly noticeable in the femoral head, which has a   explanation for this could lie in the morphology of the
            larger component surface and a bore.               porosity, which is mainly random and irregular in AM.
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            Volume 4 Issue 2 (2025)                         17                        doi: 10.36922/MSAM025090010
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