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International Journal of Bioprinting                                 4D printing & simulation for biomedicine




            USA). For detailed information on finite element analysis   data in Supplementary 2 assumed of a conventional
            (FEA), the solutions and numerical programming were   PLA polymer, rather than a shape-memory polymer. It
            reported previously. 22                            illustrates the temperature-dependent stress–strain curve

               The shape-programming and recovery processes of   and the structure of thermoplastic polymers. In this
            the SMP were simulated using COMSOL Multiphysics   instance, the memory effect is excluded, depicting the
            (COMSOL Inc., Sweden). During the cooling step, the   immediate return to the original state.
            rubber phase changed to a glass phase, and the inelastic   Shape-memory polymers that respond to body
            strain (ε ) calculated using MATLAB was stored in the   temperature can be used in a variety of applications. It has
                   in
            SMP material. This strain storage was proportional to   been confirmed that the shape-memory effect transitions
            η  based on the rubber phase strain. In simulations of   through the stages of original shape, temporary shape,
             g
            the heating step, the stored strain was gradually released   and recovery shape within the range of body temperature
            proportional to η  with respect to the previous glass phase   (Figure 6a). Using 3D printing, these polymers can be
                          g
            and strain storage. Here, there were 600 temperature steps   fabricated in appropriate sizes and diverse shapes (Figure
            during cooling and heating.                        6b  and  c).  It  could  demonstrate  the  polymer’s  ability
                                                               to maintain complex geometries through the memory
            3.6. Comparing the experimental and simulated      effect. Additionally, it has been demonstrated that shapes
            behaviors of the shape-memory polymer              incorporating rigid bodies can function as hinges, further
            A cylindrical column was used to investigate for   confirming the potential for these materials to act as
            experimental behavior of the SMP (Figure 5a and b). It   actuators (Figure 6d).
            was initially fabricated with an inner diameter of 8.45
            mm, a thickness of 0.80 mm, and a height of 5.22 mm,   4. Conclusion
            representing its original shape (the “a” point in the
            temperature-dependent stress–strain curves in Figure 5c).   3D printing is used to develop  patient-specific
            By subjecting it to temperatures above T , it transitioned   biomedical applications, such as regenerative medicine
                                             g
            to the “b” point state. Applying an external force and   tools, drug delivery devices, and implants, leveraging its
            cooling resulted in the “c” point state, with a cooling   ability to  mimic physiological geometry.  However, the
            shape having an inner diameter of 10.08 mm, thickness   dynamic nature of the human body presents a challenge,
            of 0.70 mm, and height of 4.90 mm. Upon removal of the   prompting  the emergence of  4D  printing,  a concept  in
            external force to achieve the free state, it had a diameter   which the time domain is added to 3D printing, thus
            of 10.00 mm, thickness of 0.73 mm, and height of 4.90   enabling shape or function changes over time in response
            mm, representing the “d” point state. When T  reverts to   to specific stimuli.
                                                 o
            the memorized shape, raising the temperature led to the   In this study, the SMP was newly developed for 4D
            recovery shape (“a ” point), experimentally confirmed to   bioprinting in the biomedical field. The thermal and
                           0
            have a diameter of 8.94 mm, thickness of 0.79 mm, and   physical properties of the manufactured SMPs were
            height of 5.12 mm.                                 analyzed, and the results confirmed a suitable T  range
                                                                                                        g
               Figure 5c shows the FAE COMSOL Multiphysics     for PLA+PEG 10 phr and PLA+PEG 20 phr to react at
            simulation results of SMP. The original shape was 8.45   human body temperature. Thermal stability was verified,
            mm in diameter, 0.80 mm in thickness, and 5.25 mm in   confirming an appropriate processing temperature of
            height, and was maintained at 10.08 mm in diameter, 0.73   200°C for FDM printing. DMA analysis displayed that
            mm in thickness, and 4.94 mm in height when cooling   higher PEG content led to lower storage and loss modulus
            from a high to low temperature. In the free state with the   values and the transition from a glass to a viscous state at
            applied external force removed, the shape had a diameter   lower temperatures. PLA+PEG 20 phr was suggested to
            of 9.46 mm, thickness of 0.74 mm, and height of 5.00   be suitable for printing based on thermal and mechanical
            mm, and after the temperature was raised again to a   analyses, and the results were used as data for SMP
            higher temperature, the recovery shape had a diameter   simulation. Printability conditions were determined
            of 8.5 mm, thickness of 0.8 mm, and height of 5.25 mm   with optimal results achieved at a temperature of 200°C,
            (Figure 5b and c). The results calculated with this FE   pneumatic pressure of 200 kPa, and feed rate of 420 mm/
            solution were in good agreement with those measured   min. Hydrolytic degradation confirmed biodegradability,
            in  the  experiments,  indicating  that  they  could  be   resulting in weight loss for 49 days. Biocompatibility
            analyzed with COMSOL Multiphysics from a numerical   was  analyzed  based  on  cell  viability  and  proliferation.
            perspective when verifying or predicting the memory   FE solution was used to predict the shape of the printed
            phenomena observed in 4D printing samples. And the   SMP. A two-phase model, consisting of rubber and glass


            Volume 10 Issue 3 (2024)                       582                                doi: 10.36922/ijb.3035
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