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Materials Science in Additive Manufacturing                            NiTi lattice: Performance optimization



            is  characterized by  the  change of  the  minimum  strain   cycles corresponding to the abrupt strain point decreased
            corresponding to the hysteresis curve of different cycles   with the increase in stress levels.
            with the number of cycles. In this study, the 4000  cycle   As shown in Figure 7, the I-WP lattice structure exhibits
                                                     th
            was used as the starting cycle. The ratcheting strain is   a higher fatigue strength than the BCC at the same cycles.
            defined as the difference between the minimum strain of   In addition, the I-WP structure exhibits longer fatigue life
            the hysteresis curve of different cycle periods minus the   when both lattice structures are under the same level of
            minimum strain of the starting cycle period. The formula   stress conditions. The formulas of life and cycle period
            for ratcheting strain is given in Equation (II):   fitted by curve are shown in Figure 7.
            ɛ  = ɛ  – ɛ                                (II)
             d  min   4000                                       The fatigue strengths of the NiTi BCC and I-WP at
              Where ɛ  refers to the ratcheting strain; ɛ  refers to   10  cycles were 1.88 MPa and 2.08 MPa (calculated by the
                                                                 6
                     d
                                                 min
            the  minimum  strain  of  the  hysteresis  curve  of different   curve fitting formula in Figure 7), respectively. The fatigue
            cycle periods; and  ɛ 4000  refers to the minimum strain of   strength of I-WP was about 1.11 times higher than that
            the starting cycle period. In this study, the 4000  cycle was   of BCC, indicating that the TPMS design is beneficial to
                                                 th
            used as the starting cycle period.                 the fatigue strength. The fatigue strength ratio is defined
              The  fatigue  damage strain  is  defined as  the  change   as the ratio of the fatigue strength to the yield strength at
                                                                                                            51
                                                                 6
            in the difference between the maximum and minimum   10  cycles under compression-compression fatigue tests.
            strain of the current cycle with respect to the 4000  cycle.   The  fatigue  strength  ratios  of  BCC  and  I-WP  were  0.33
                                                    th
            It can be found that the fatigue damage strain played   and 0.34, respectively. In summary, the fatigue strength
            a dominant role in the fatigue failure of NiTi lattice   ratio of NiTi is constant and unaffected by the structural
            structures. At high cycles, the fatigue damage strain   optimization method of TPMS, which can only enhance
            accumulated before failure in I-WP was much lower than   the fatigue performance of the material.
            that in BCC, indicating that I-WP was more capable of   3.3.4. Fracture characteristics
            inhibiting crack generation and expansion than BCC. It
            can be inferred that the TPMS design improves the ability   The fracture characteristics of the two structures are
            of the  BCC lattice structure to resist  fatigue cracking,   portrayed in Figure 8. A near 45° shear fracture band can
            which in turn improves the fatigue performance. In   be found in all failed samples. This phenomenon has also
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            addition, a certain range of negative ratchet strains can be   been reported by Speirs et al.  in their study of the fatigue
            found in both NiTi lattice structures, which was caused   behavior of NiTi structure, which presented identical
            by the superelasticity of NiTi alloy recovering a certain   shear failure characteristics as in the NiTi lattice structure
            amount of deformation.                             samples shown in Figure 3. The fatigue failure modes of
                                                               the  two  NiTi  lattice  structures  did  not  change  with  the
              The fatigue behavior of NiTi lattice structures could be   alteration of loading stress.
            affected by the properties of the NiTi alloy. It can be easily
            observed  that  there  were  “crescent-shaped”  hysteresis
            loops of NiTi lattice structures. The superior superelasticity
            of NiTi enables a greater range of recoverable deformation
            of NiTi lattice structure samples than that of lattices with
            other materials. As a result, during the low-stress region of
            one cycle of the fatigue cyclic loading, the strain values of
            the NiTi lattice samples became much smaller, even lower
            than the strain values of the previous cyclic cycles, leading
            to negative values of the cyclic ratchet strains as shown in
            (Figure 6C and D). Therefore, the effect of superelasticity of
            NiTi lattice structure on fatigue performance was studied
            using a cyclic compression test.

            3.3.3. Fatigue life and fatigue strength
            As shown in  Figure  5, the fatigue life is defined as the
            corresponding cycle number.  The fatigue strength is
                                    49
            defined as the maximum stress at a certain cycle.  It can
                                                    50
            be observed in Figure 5 that for two structures, a greater   Figure  7.  Stress-number of cycles to failure (S-N) curves of Nickel
            load is associated with a smaller fatigue life. The number of   titanium lattice structures.

            Volume 3 Issue 2 (2024)                         9                              doi: 10.36922/msam.3380
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