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Materials Science in Additive Manufacturing                          Gradient porous material design criteria



              φ  = cosY cos X cos Z - sin Z sin X sin Y = C  (2)  layer was 71% and the height of this layer was 3 unit cells,
                D
              To design the gradient porosity materials, MS Lattice   and the aspect ratio of each layer was 1. The 60 – 70 – 80%
            and SolidWorks were used for the CAD models of porous   (3/2/1) indicates that the sample was divided into three
            samples. The Schon-Gyroid sheet and Schwarz-Diamond   layers, and the porosity and layer height were, respectively,
                                                               60% and 3 unit cells (aspect ratio 1) for the first layer, 70%
            sheet  lattice  structures  were  introduced  to  generate  the   and 2 unit cells (aspect ratio 2/3) for the second layer, and
            porous structure of the porosity materials. The unit cell   80% and 1 unit cell (aspect ratio 1/3) for the third layer.
            size is set to 5×5×5 mm . To build up the mechanical
                                 3
            property database for further calculation, uniform   3. Results and discussion
            porosity materials were prepared with porosities of 50%,
            60%, 70%, 80%, and 90%, which cover the most studied   3.1. Correlation between sample design and
            porosity range, as shown in Figure 1. For the design criteria   deformation-induced densification phenomenon
            exploration and the development of empirical energy   The energy absorption of materials is usually calculated
            absorption prediction rule for  deformation-induced   by determining the integral area under stress-strain (SS)
            densification of gradient porosity materials, the gradient   curves. Hence, higher maximum stress or strain leads to
            porosity materials with different porous structures,   increased energy absorption. However, maintaining high
            porosity, and porosity change were prepared, as shown in   strength and high ductility simultaneously is challenging.
            Figures 2 and 3. To evaluate the tendency of deformation-  For example, increased dislocation density of metal
            induced densification phenomenon, the gradient porosity   materials leads to higher strength but lower ductility.
            materials were designed with two porosity changes   However,  introducing  the  gradient porosity into  porous
            approaching an average porosity of 50 – 90%, such as 70 –   materials leads to increased ductility while maintaining
            71% (3/3), 70 – 72.5% (3/3), and 70 – 75% (3/3), as shown   strength, which means it is a promising way to improve
            in Figure 2. Meanwhile, to develop the empirical rule for   energy absorption capacity.
            estimating energy absorption, the effects on the porosity   Moreover, TPMS structures show a high energy
            changes and the aspect ratio variations of each layer of   absorption capacity among the various porous structures.
            the porous materials should be evaluated simultaneously.   During the deformation, TPMS porous materials tend to
            Hence, the gradient porosity materials with three porosity   be densified during compression, leading to high ductility
            variations were designed, such as 60 – 70 – 80% (2/2/2),   and high energy absorption.  Figure  4 shows a typical
            60 – 70 – 80% (3/2/1), and 70 – 80 – 90% (2/2/2), as shown   SS curve of a uniform porosity TPMS material. During
            in Figure 3. The 70 – 71% (3/3) means that this sample was   the deformation, the uniform porosity TPMS material
            designed as a gradient porosity material with two layers;   undergoes three different deformation stages. The first
            the porosity of the first layer was 70% and the height of   stage involves elastic and plastic deformation until the first
            this layer was 3 unit cells, and the porosity of the second   fracture/load drop occurs. The higher the toughness at

                        A                                  B























            Figure 1. (A and B) The 3D model and printed samples of the Schon-Gyroid and Schwarz-Diamond uniform porosity materials with porosities of 50%,
            60%, 70%, 80%, and 90%


            Volume 3 Issue 3 (2024)                         3                              doi: 10.36922/msam.4234
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