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International Journal of Bioprinting


                                        RESEARCH ARTICLE
                                        Metrological characterization of porosity

                                        graded β-Ti21S triply periodic minimal surface
                                        cellular structure manufactured by laser powder

                                        bed fusion



                                        Lorena Emanuelli *, Raffaele De Biasi , Anton du Plessis , Carlo Lora ,
                                                                                        3,4
                                                                                                   5
                                                       1
                                                                        2
                                        Alireza Jam , Matteo Benedetti , Massimo Pellizzari 2
                                                                  2
                                                  2
                                        1 INSTM (Operative center: University of Trento), Trento, 38123, Italy
                                        2 Department of Industrial Engineering, University of Trento, Trento, Italy
                                        3 Research Group 3D Innovation, Stellenbosch University, Stellenbosch, South Africa
                                        4 Object Research Systems, Montreal, Canada
                                        5
                                        SISMA SpA, Piovene Rocchette, Vicenza, Italy
                                        (This article belongs to the Special Issue: 3D Printing of Advanced Biomedical Devices)
                                        Abstract
                                        The design of a functionally graded porous structure (FGPS) for use in prosthetic
                                        devices is crucial for meeting both mechanical and biological requirements. One of
                                        the most commonly used cellular structures in FGPS is the triply periodic minimal
                                        surface (TPMS) structure due to its ability to be defined by implicit equations, which
                                        allows for smooth transitions between layers. This study evaluates the feasibility of
            *Corresponding author: Lorena   using a novel β-Ti21S alloy to fabricate TPMS-based FGPS. This beta titanium alloy
            Emanuelli                   exhibits low elastic modulus (53 GPa) and good mechanical properties in as-built
            (lorena.emanuelli@unitn.it)  condition. Two TPMS FGPSs with relative density gradients of 0.17, 0.34, 0.50, 0.66,
            Citation: Emanuelli L, De Biasi R,    and 0.83 and unit cell sizes of 2.5 mm and 4 mm were designed and fabricated using
            du Plessis A, et al., 2023,   laser powder bed fusion (LPBF). The as-manufactured structures were analyzed using
            Metrological characterization of
            porosity graded β-Ti21S triply   scanning electron microscopy (SEM) and X-ray micro-computed tomography (µ-CT),
            periodic minimal surface cellular   and the results were compared to the design. The analysis revealed that the pore size
            structure manufactured by laser   and ligament thickness were undersized by less than 5%. Compression tests showed
            powder bed fusion. Int J Bioprint,
            9(4): 729.                  that the stabilized elastic modulus was 4.1 GPa for the TPMS with a 2.5 mm unit cell size
            https://doi.org/10.18063/ijb.729  and 10.7 GPa for the TPMS with a 4 mm unit cell size. A finite element simulation was
                                        performed to predict the specimen’s elastic properties, and a lumped model based
            Received: January 09, 2023
            Accepted: February 28, 2023  on lattice homogenized properties was proposed and its limitations were explored.
            Published Online: April 7, 2023
            Copyright: © 2023 Author(s).   Keywords: Functionally graded porous structures; Ti-21S; Skeletal-based triply
            This is an Open Access article
            distributed under the terms of the   periodic minimal surface structure; Metrological characterization; Laser powder bed
            Creative Commons Attribution   fusion; Additive manufacturing
            License, permitting distribution,
            and reproduction in any medium,
            provided the original work is
            properly cited.
                                        1. Introduction
            Publisher’s Note: Whioce
            Publishing remains neutral with   The mechanical and osteogenic properties are of primary importance in the selection of
            regard to jurisdictional claims in   a biomaterial and in the design of an implant. The main requirements for a biomaterial
            published maps and institutional
            affiliations.               include biocompatibility, high corrosion and wear resistance, high osteogenic response,



            Volume 9 Issue 4 (2023)                        186                          https://doi.org/10.18063/ijb.729
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