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


            1. Introduction                                    of a strong {100}<001> texture. A  post solution heat
                                                               treatment promotes a significant increase in the intensity
            Replacing and/or repairing the human bone with     of the {100}<001> texture leading to an elastic modulus of
            necessity to guarantee the same mechanical properties and   around 75 GPa .
                                                                           [15]
            biocompatibility is of primary interest in the orthopedic
            field. Ti-6Al-4V extra-low interstitial (ELI) is the most   A novel metastable  β-Ti21S alloy with the chemical
            common biomaterial, as it combines high strength and   composition of Ti-15Mo-3Nb-3Al-0.2Si (wt.%) has
            corrosion resistance. However, this alloy, originally devised   previously been investigated [17-19] . It is characterized by a
            for aeronautical applications, turns out to be affected by   fully  β microstructure and good mechanical properties
            some drawbacks when employed in biomedical applications.   in as-built condition, potentially without the need for
                                                                                                           [17]
            Considering  its  chemical  composition,  elements  such   further heat treatment. In detail, Macias-Sifuentes et al.
            as  Al  and V  are  deleterious  for  the  patient’s  health due   demonstrated a  β phase microstructure with a textured
            to long-term harmful effects, namely, cytotoxicity and   columnar structured oriented along the building direction
            Alzheimer’s disease . For this reason, many researchers   in the laser powder bed fusion (LPBF) sample and a
                            [1]
            recently focused on new biomaterials with a reduction or   precipitation  of  α  phase  into  the  grain  and  at  the  grain
            a complete removal of these elements achieving similar   boundaries after a solution treatment at 850°C for 30 min and
            strength and corrosion resistance [2,3] . From a mechanical   aging at 538°C for 8 h. The α precipitation leads to increased
            point of view, Ti-6Al-4V ELI exhibit a high elastic modulus   mechanical strength but a decreased ductility. A very low
            (110 GPa), much higher compared to that of cortical   Young’s modulus of 52 GPa and a good mechanical strength
            (3 – 30 GPa) and trabecular bone (0.02 – 2 GPa). This   of around 830 MPa and an extraordinarily elongation of
                                                                                                 [18]
            stiffness mismatch leads to the so-called “stress shielding   21% were demonstrated by Pellizzari et al. . A variation
            effect” and consequently bone resorption .         of <20% in Young’s modulus due to the texture and a lower
                                            [4]
                                                               cytotoxicity compared to Ti6Al4V further confirmed the
              It is not surprising that the scientific community is   possibility to use it in as-built condition.
            intensively  researching  novel  biomedical  titanium  alloys   However, the elastic modulus of around 52 GPa of the
            with low amounts of harmful elements and lower elastic   β-Ti21S alloy is still too high compared to the human
            modulus. Beyond Ti-6Al-4V, in UNI EN ISO 5832,     bone. Replacement  of  the  full  body prosthesis  with a
            unalloyed titanium  and Ti-15Mo-5Zr-3Al  have been   cellular structure allows to decrease its stiffness. Instead,
                                                [6]
                           [5]
            reported for use as surgical implants. Unalloyed titanium   the properties of cellular biomaterials are affected by the
            is characterized by a Young’s modulus similar to Ti-6Al-4V   base  material  and  the  specific  architecture of  the  unit
            but with about half the tensile strength, different from   cell [20,21] . An exhaustive review of the mechanical properties
            β-Ti-15Mo-5Zr-3Al, which shows an elastic modulus of   of the different architectures present in the literature was
            around 80 GPa and a tensile strength similar to Ti-6Al-4V   conducted by Benedetti et al. . Different behaviors during
                                                                                      [22]
            (900 MPa) . The other four wrought titanium grades   compression tests are highlighted, that is, bending-  and
                     [7]
            standardized for biomedical application are Ti-6Al-7Nb ,   stretching-dominated depending on the structure response
                                                        [8]
            Ti-3Al-2.5V , Ti-15Mo,  and Ti-12Mo-6Zr-2Fe .      to the load. Bending-dominated lattices are characterized
                      [9]
                                 [10]
                                                        [11]
            Considering these alloys obtained by AM techniques, the   by too few struts to balance bending moments at nodes
            first two alloys are characterized, after thermal treatment,   when externally loaded leading to the bending of the struts,
            by  α +  β microstructure with a Young’s modulus near   and the stress-strain curve shows a uniform collapse after
            Ti-6Al-4V but with a lower amount of dangerous     the yielding point. On the contrary, a stretching-dominated
            elements [12,13] .  In  contrast,  metastable  β-Ti  alloys  show   structure is composed of enough struts to equilibrate the
            lower elastic modulus thanks to the low intrinsic elastic   applied external load and the struts result stressed mainly
            modulus of the body-centered cubic structure of β phase,   parallel to the load direction with the result of sequential
            as well as good mechanical properties and extraordinary   local collapse after the yielding. The elastic modulus E
            corrosion resistance and biocompatibility. However,   and the yield strength σ  of the trabecular structures can
                                                                                   y
            Ti-15Mo exhibits too low strength compared to Ti-6Al-4V   be correlated to relative density using Gibson-Ashby
            and evidences a strong tendency toward brittle ω phase   model [20,21] , according to Equations I and II.
            precipitation . The metastable β Ti-12Mo-6Zr-2Fe alloy          n1
                      [14]
            in as-built condition shows mechanical strength similar to   E  =  C1                     (I)
            Ti-6Al-4V because of high density of α II[15,16] . A decrease   E0     
            in the elastic modulus from 107 to 85 GPa is observed
            by changing the scanning strategy from a simple back-    = C 2       n 2                  (II)
            and-forth to a chess scan strategy due to the formation   0     


            Volume 9 Issue 4 (2023)                        450                          https://doi.org/10.18063/ijb.728
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