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Furthermore, these FE models with periodic boundary conditions were employed to extract the mechanical response of specimens that consisted of more unit cells. Uniaxial quasi-static compression tests were conducted on the RVEs their mechanical response was acquired and exploited in order to build advanced finite element (FE) models to simulate the overall mechanical behavior of each TPMS structure.
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In order to study the mechanical response of the TPMS, representative volume elements (RVEs) were fabricated from polyamide 12 (PA12), utilizing the selective laser sintering (SLS) AM technique. The structure of each lattice was analyzed and the influence of design-related parameters on the relative density was obtained. The current paper investigates the mechanical behavior of four triply periodic minimal surfaces (TPMS), namely the Schwarz primitive, the gyroid, the Schwarz diamond, and the Neovius structures. Thus, there is a necessity to analyze these structures, examine their mechanical performance, and provide the computational tools to evaluate them. Lattice designs are often employed for the topology optimization process providing lightweight structures with also additional advantages, such as high porosity and high surface area to volume ratio.
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Recent advances in additive manufacturing (AM) led to the design and production of geometrical complex items with a plethora of materials facilitating the implementation of topology optimization procedures. The research outcomes can assist in optimizing manufactured parts by SLS 3D printers with internal and external controlled properties to obtain more desirable mechanical characteristics, especially for tissue engineering applications. Evaluation of the designed structures showed that 6 of them (4 uniform porosity and 2 geometrically gradient) have mechanical behavior of the desired tissue. FESEM imaging revealed that adjusting the absorbed energy by powders (controlled by laser characteristics) leads to the formation of natural voids with diameters in the range of 6 to 144 μm for the gradient structures. For instance, in 3 mm samples, the elastic modulus in material gradient and geometrical gradient structures is 20% and 73 % higher than the minimum values of the uniform structure. Comparing the mechanical compressive test results showed that adjustments in material and geometry improved mechanical properties (such as the compressive moduli, compressive strength, and yield strength). The structures' internal properties were evaluated using the FESEM. A total of 18 cellular structures were designed and fabricated using the SLS 3D printer with a new unconventional approach in adjusting the settings of the machine, and their mechanical properties were extracted. Schwarz-primitive surface has been utilized to design cellular structures with different porosities and unit cell sizes. This research proposes a new method, both in design and manufacturing, to engineer their mechanical properties considering gradient material and geometrical features and evaluate the possibility of using created structures as bone implants. Cellular structures are broadly used because of their exclusive properties in tissue engineering.
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