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International Journal of Bioprinting                    b-Ti21S TPMS FGPs produced by laser powder bed fusion











































            Figure 10. m-CT analysis of TPMS-FGPS 2.5 considering (a, d, g, j, m) ligament thickness, (b, e, h, k, n) pore size, and (c, f, i, l, o) m-CT image (gray)
            overlap with CAD (yellow) for the different relative densities.


            structure oriented along the building direction. Higher   gradient inside the liquid becomes lower than the critical
            magnification SEM micrographs shown in  Figure 15b   gradient inside the melting pool.
            (TPMS-FGPS 2.5) and  Figure 15c (TPMS-FGPS 4.0)
            emphasize  the  traces  of  melting  pools  and  the  epitaxial   3.3. Quasi-static and cyclic compression tests
            growth of b grain, which takes place along the heat flow   Quasi-static  compression  curves  and  examples  of cyclic
            direction. The epitaxial growth arose owing to partial   tests between 20% and 70% of yield stress are shown in
            remelting of previously consolidated layers and extended   Figure 16a and b. Three regions can be defined on the quasi-
            up to several millimeters in length, as shown in Figure 15a   static compression curves: a linear elastic regime (i) until
            and c. The solidification structure and particularly the grain   the yielding point, a plateau regime (ii) where the structure
            orientation are influenced by the local heat flow direction,   collapse takes place, and the final densification (iii)
            which is almost parallel to the building direction [17,18] .   characterized by the positive slope of the curve. The collapse
            Details of a lack of fusion defect due to insufficient overlap   occurs in a progressive way, by buckling starting from the
            of successive melt pools is highlighted in  Figure 15e .   less stiff (lower relative density level) to the stiffer level
                                                        [27]
            Nevertheless, very few defects were detected highlighting   (higher relative density level) up to complete densification
            the use of optimized process parameters. SEM analysis also   of the FGPS . Details of the structural deformation during
                                                                        [30]
            evidenced the transition from planar to cellular structure   the linear elastic, plateau, and densification regimes are
            at melt pool boundary, covering a region of around 0.5–  shown in Figure 16c and d for TPMS-FGPS 2.5 and TPMS-
            1 mm thickness inside the pool area (Figure 15d). This is   FGPS 4.0, respectively. In both cases, the shape of the
            attributed to the destabilization of the planar solidification   plateau regime and the collapse due to buckling highlight
            front due to the constitutional undercooling inside the   a bending-dominated behavior. Quasi-elastic modulus,
            liquid ahead of the solid/liquid interface. In other words,   namely the slope of the linear part of the curve, and yield
            planar to cellular transition occurs when the temperature   stress  at the  0.2%  of deformation  were calculated.  Five


            Volume 9 Issue 4 (2023)                        197                          https://doi.org/10.18063/ijb.729
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