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International Journal of Bioprinting                   β-Ti21S auxetic FGPs produced by laser powder bed fusion


            In light of the elastic modulus of the two bulk materials   Funding
            (E = 52GPa for Ti-21S, E = 110GPa for Ti-6Al-4V), a
            reduction of around 53% is observed by using the novel   This work is part of the project N. 2020.0042 - ID 50430,
            β-Ti alloy to produce the FGPSs.                   “Produzione additiva di protesi ortopediche a struttura
                                                               trabecolare in Ti-beta” funded by Fondazione Cariverona.
            4. Conclusion
                                                               Conflict of interest
            2D and 3D metrological characterizations were carried out
            on two different auxetic FGPSs with aspect ratio equal to   The authors declare that they have no know financial
            1.5 and angle θ of 15° and 25°, corresponding to relative   interests or personal relationships that could have appeared
                                                               to influence the work reported in this paper.
            density gradients of 0.34 – 0.49 – 0.66 and of 0.40 – 0.58 –
            0.75, respectively. Quasi-static and cyclic compression tests   Author contributions
            were performed to evaluate quasi-elastic modulus, yield
            stress and cyclic Young’s modulus. Simulation analyses   Conceptualization: Lorena Emanuelli
            based on the homogenization method were conducted, and   Investigation: Lorena Emanuelli, Alireza Jam, Raffaele De
            the results obtained were compared with the experimental   Biasi, Carlo Lora
            values. The main results of the study may be summarized   Methodology: Lorena Emanuelli, Raffaele De Biasi, Anton
            as follows:                                           du Plessis, Matteo Benedetti, Massimo Pellizzari
                                                               Resources: Lorena Emanuelli, Raffaele De Biasi
            (i).  2D metrological characterization by SEM highlights   Writing – original draft: Lorena Emanuelli, Raffaele De
               a subdimension of the strut and an oversizing of the   Biasi, Anton du Plessis, Matteo Benedetti, Massimo
               pore size due to laser printing process in both auxetic   Pellizzari
               FGPSs with the exception for the auxetic θ = 25° high   Writing – review & editing: All authors
               density level, where the loss of the auxetic geometry
               affects the analysis.                           Ethics approval and consent to participate
            (ii). 3D metrological characterization by X-ray  µ-CT
               imaging shows an undersizing of both the pore size   Not applicable.
               and strut thickness because of the surface irregularity   Consent for publication
               and  unmelted  powders  on  the  strut  surface  with
               higher accumulation at the corners of the auxetic   Not applicable.
               geometry. The excess of material at the corners
               increased by  increasing  the  θ  angle,  and  the  results   Availability of data
               were not affected by the different relative density level.  No additional data are available to the public.
            (iii). The 3D metrological characterization, by means of
               µ-CT imaging, permits a more holistic method to   References
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            Volume 9 Issue 4 (2023)                        462                          https://doi.org/10.18063/ijb.728
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