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Materials Science in Additive Manufacturing                             Characterization of TPMS structures


            using laser PBF (LPBF) to manufacture such structures   experimentally tested values and the values predicated
            on  an industrial  scale.  The  first  is the limitations  of  the   by the Gibson-Ashby model. Many other scholars
            stereolithography (STL) file format. It is difficult and   have  investigated  the  microstructure  and  mechanical
            time-consuming for commercial pre-processing software   deformation behavior of LPBF-produced lattice structures.
            (i.e., Magics, Voxel Dance, and P3Ds) to handle the STL   However, to the best of our knowledge, all of these studies
            model  of lattice/cellular structures created by scholars   used the conventional AM data-processing method when
            using the proposed novel design methods when the   printing the lattice structure. As pointed out by Neikter
                                                                   [19]
            number of structural units exceeds ten thousand or more.   et al. , the microstructure of LPBF-produced samples is
            Second, it is difficult to evaluate the manufacturability and   related to the laser scanning strategy, that is, the toolpath.
            manufacturing results of such complex structures because   However, the toolpath generated by the toolpath-based
            traditional evaluation methods are unsuitable for AM   construction method is different from that generated by
            processes . Finally, the performance (i.e., physical and   commercial AM data pre-processing software. Hence, it is
                   [8]
            mechanical properties, and failure mechanism) of such   unknown whether the performance of a lattice structure
            novel structures is still unclear, although many scholars   fabricated using toolpath-based construction design is the
            have focused on this topic.                        same as that of the traditionally designed structures.
              To solve the first problem, Ding et al.  proposed an   In summary, there is a gap in knowledge regarding the
                                             [12]
            STL-free design and manufacturing paradigm for high-  microstructure  and  mechanical  performance  of  lattice
            precision PBF, and Feng  et  al. [13,14]  proposed an efficient   structures obtained using toolpath-based design. To fill this
            generation strategy for hierarchical porous scaffolds with   gap, we fabricated a TPMS Schwarz-P structure using our
            freeform external geometries. Both groups simplified the   proposed method and investigated its microstructure and
            three-dimensional (3D) calculations to two-dimensional   mechanical performance. The rest of the paper is organized
            (2D) operations to improve the calculation efficiency.   as follows: Section 2 introduces the experimental materials
            However,  the  infilling  efficiency  remains  a problem.   and methods, Section 3 gives the experimental results and
            Similar to this simplified method, we proposed a toolpath-  discusses the results, and we conclude with Section 4.
            based construction method for designing and printing   2. Materials and methods
            porous structures in a previous study . In our method,
                                           [15]
            we used a toolpath pattern to infill the hull model, directly   2.1. TPMS Schwarz-P surface
            generating the toolpath of the porous structure. Compared                                      [3]
            with the traditional pre-processing method, the toolpath-  A TPMS is an implicit surface with zero mean curvature .
            based construction method exhibits a significant advantage   Owing to their smooth surfaces and highly interconnected
            in terms of toolpath precision and generating efficiency.  porous architectures, TPMS structures have been applied
                                                               in many domains. The Schwarz-P surface is a typical type
              However, as mentioned above, to apply cellular   of TPMS. Equation I gives its mathematical expression,
            structures  generated  by  toolpath-based  construction  on   and Figure 1 shows Schwarz-P surfaces with different unit
            an industrial scale, the manufacturability/manufacturing   sizes and shape factors.
            results  and  structural  performance  still  need  to  be
            investigated. Although we analyzed the manufacturability       xy z,,  :cos   2  x cos   2  y cos   2  zc  (I)


            of a cellular structure generated using the toolpath-based           k        k       k
            construction method and developed a manufacturability
            predictor for these structures in previous papers [15,16] , we   2.2. Toolpath-based construction method
            did not investigate the performance of structures generated   In this study, a toolpath-based construction method
            by the toolpath-based method.
                                                               was used to construct and generate printing toolpaths
              Yan  et al.  evaluated the manufacturability and   for the  TPMS-Schwarz-P  structures.  Figure  2  shows
                       [17]
            performance  of  LPBF-produced  TPMS  gyroid  lattice   the workflow of the printing toolpath generation of the
            structures. They found that the yield strength and Young’s   TPMS-Schwarz-P structure through the toolpath-based
            modulus of the gyroid lattice structures increased with   construction method. The hull model, AM parameters,
            decreasing unit cell size because of the denser struts of the   and mathematical equation of the Schwarz-P surface and
            lattice  structures  with  smaller  unit  cell  sizes.  In another   its corresponding toolpath pattern were used as the input
            study, Yan  et  al.  established two equations based on   variables in this method. As shown in Figure 2, the box
                          [18]
            the Gibson-Ashby model to predict the compression   model was first sliced at a fixed thickness to obtain the
            properties of the 316L stainless steel gyroid lattice   layer  contours.  Then,  the  layer  contours  were  used  to
            structures; however, there were differences between the   construct the polygons to be infilled. Finally, the polygons


            Volume 1 Issue 3 (2022)                         2                      http://doi.org/10.18063/msam.v1i3.17
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